text: /*
  * Copyright (c) 2006-2007 Erin Catto http://www.gphysics.com
  *
  * This software is provided 'as-is', without any express or implied
  * warranty.  In no event will the authors be held liable for any damages
  * arising from the use of this software.
  * Permission is granted to anyone to use this software for any purpose,
  * including commercial applications, and to alter it and redistribute it
  * freely, subject to the following restrictions:
  * 1. The origin of this software must not be misrepresented; you must not
  * claim that you wrote the original software. If you use this software
  * in a product, an acknowledgment in the product documentation would be
  * appreciated but is not required.
  * 2. Altered source versions must be plainly marked as such, and must not be
  * misrepresented as being the original software.
  * 3. This notice may not be removed or altered from any source distribution.
  */
  var Box2D = {};
  
  (function (a2j, undefined) {
  /*
     if(!(Object.prototype.defineProperty instanceof Function)
        && Object.prototype.__defineGetter__ instanceof Function
        && Object.prototype.__defineSetter__ instanceof Function)
     {
        Object.defineProperty = function(obj, p, cfg) {
           if(cfg.get instanceof Function)
              obj.__defineGetter__(p, cfg.get);
           if(cfg.set instanceof Function)
              obj.__defineSetter__(p, cfg.set);
        }
     }
     */
     function emptyFn() {};
     a2j.inherit = function(cls, base) {
        var tmpCtr = cls;
        emptyFn.prototype = base.prototype;
        cls.prototype = new emptyFn;
        cls.prototype.constructor = tmpCtr;
     };
     
     a2j.generateCallback = function generateCallback(context, cb) {
        return function () {
           cb.apply(context, arguments);
        };
     };
     
     a2j.NVector = function NVector(length) {
        if (length === undefined) length = 0;
        var tmp = new Array(length || 0);
        for (var i = 0; i < length; ++i)
        tmp[i] = 0;
        return tmp;
     };
     
     a2j.is = function is(o1, o2) {
        if (o1 === null) return false;
        if ((o2 instanceof Function) && (o1 instanceof o2)) return true;
        if ((o1.constructor.__implements != undefined) && (o1.constructor.__implements[o2])) return true;
        return false;
     };
     
     a2j.parseUInt = function(v) {
        return Math.abs(parseInt(v));
     }
     
  })(Box2D);
  
  //#TODO remove assignments from global namespace
  var Vector = Array;
  var Vector_a2j_Number = Box2D.NVector;
  //package structure
  if (typeof(Box2D) === "undefined") Box2D = {};
  if (typeof(Box2D.Collision) === "undefined") Box2D.Collision = {};
  if (typeof(Box2D.Collision.Shapes) === "undefined") Box2D.Collision.Shapes = {};
  if (typeof(Box2D.Common) === "undefined") Box2D.Common = {};
  if (typeof(Box2D.Common.Math) === "undefined") Box2D.Common.Math = {};
  if (typeof(Box2D.Dynamics) === "undefined") Box2D.Dynamics = {};
  if (typeof(Box2D.Dynamics.Contacts) === "undefined") Box2D.Dynamics.Contacts = {};
  if (typeof(Box2D.Dynamics.Controllers) === "undefined") Box2D.Dynamics.Controllers = {};
  if (typeof(Box2D.Dynamics.Joints) === "undefined") Box2D.Dynamics.Joints = {};
  //pre-definitions
  (function () {
     Box2D.Collision.IBroadPhase = 'Box2D.Collision.IBroadPhase';
  
     function b2AABB() {
        b2AABB.b2AABB.apply(this, arguments);
     };
     Box2D.Collision.b2AABB = b2AABB;
  
     function b2Bound() {
        b2Bound.b2Bound.apply(this, arguments);
     };
     Box2D.Collision.b2Bound = b2Bound;
  
     function b2BoundValues() {
        b2BoundValues.b2BoundValues.apply(this, arguments);
        if (this.constructor === b2BoundValues) this.b2BoundValues.apply(this, arguments);
     };
     Box2D.Collision.b2BoundValues = b2BoundValues;
  
     function b2Collision() {
        b2Collision.b2Collision.apply(this, arguments);
     };
     Box2D.Collision.b2Collision = b2Collision;
  
     function b2ContactID() {
        b2ContactID.b2ContactID.apply(this, arguments);
        if (this.constructor === b2ContactID) this.b2ContactID.apply(this, arguments);
     };
     Box2D.Collision.b2ContactID = b2ContactID;
  
     function b2ContactPoint() {
        b2ContactPoint.b2ContactPoint.apply(this, arguments);
     };
     Box2D.Collision.b2ContactPoint = b2ContactPoint;
  
     function b2Distance() {
        b2Distance.b2Distance.apply(this, arguments);
     };
     Box2D.Collision.b2Distance = b2Distance;
  
     function b2DistanceInput() {
        b2DistanceInput.b2DistanceInput.apply(this, arguments);
     };
     Box2D.Collision.b2DistanceInput = b2DistanceInput;
  
     function b2DistanceOutput() {
        b2DistanceOutput.b2DistanceOutput.apply(this, arguments);
     };
     Box2D.Collision.b2DistanceOutput = b2DistanceOutput;
  
     function b2DistanceProxy() {
        b2DistanceProxy.b2DistanceProxy.apply(this, arguments);
     };
     Box2D.Collision.b2DistanceProxy = b2DistanceProxy;
  
     function b2DynamicTree() {
        b2DynamicTree.b2DynamicTree.apply(this, arguments);
        if (this.constructor === b2DynamicTree) this.b2DynamicTree.apply(this, arguments);
     };
     Box2D.Collision.b2DynamicTree = b2DynamicTree;
  
     function b2DynamicTreeBroadPhase() {
        b2DynamicTreeBroadPhase.b2DynamicTreeBroadPhase.apply(this, arguments);
     };
     Box2D.Collision.b2DynamicTreeBroadPhase = b2DynamicTreeBroadPhase;
  
     function b2DynamicTreeNode() {
        b2DynamicTreeNode.b2DynamicTreeNode.apply(this, arguments);
     };
     Box2D.Collision.b2DynamicTreeNode = b2DynamicTreeNode;
  
     function b2DynamicTreePair() {
        b2DynamicTreePair.b2DynamicTreePair.apply(this, arguments);
     };
     Box2D.Collision.b2DynamicTreePair = b2DynamicTreePair;
  
     function b2Manifold() {
        b2Manifold.b2Manifold.apply(this, arguments);
        if (this.constructor === b2Manifold) this.b2Manifold.apply(this, arguments);
     };
     Box2D.Collision.b2Manifold = b2Manifold;
  
     function b2ManifoldPoint() {
        b2ManifoldPoint.b2ManifoldPoint.apply(this, arguments);
        if (this.constructor === b2ManifoldPoint) this.b2ManifoldPoint.apply(this, arguments);
     };
     Box2D.Collision.b2ManifoldPoint = b2ManifoldPoint;
  
     function b2Point() {
        b2Point.b2Point.apply(this, arguments);
     };
     Box2D.Collision.b2Point = b2Point;
  
     function b2RayCastInput() {
        b2RayCastInput.b2RayCastInput.apply(this, arguments);
        if (this.constructor === b2RayCastInput) this.b2RayCastInput.apply(this, arguments);
     };
     Box2D.Collision.b2RayCastInput = b2RayCastInput;
  
     function b2RayCastOutput() {
        b2RayCastOutput.b2RayCastOutput.apply(this, arguments);
     };
     Box2D.Collision.b2RayCastOutput = b2RayCastOutput;
  
     function b2Segment() {
        b2Segment.b2Segment.apply(this, arguments);
     };
     Box2D.Collision.b2Segment = b2Segment;
  
     function b2SeparationFunction() {
        b2SeparationFunction.b2SeparationFunction.apply(this, arguments);
     };
     Box2D.Collision.b2SeparationFunction = b2SeparationFunction;
  
     function b2Simplex() {
        b2Simplex.b2Simplex.apply(this, arguments);
        if (this.constructor === b2Simplex) this.b2Simplex.apply(this, arguments);
     };
     Box2D.Collision.b2Simplex = b2Simplex;
  
     function b2SimplexCache() {
        b2SimplexCache.b2SimplexCache.apply(this, arguments);
     };
     Box2D.Collision.b2SimplexCache = b2SimplexCache;
  
     function b2SimplexVertex() {
        b2SimplexVertex.b2SimplexVertex.apply(this, arguments);
     };
     Box2D.Collision.b2SimplexVertex = b2SimplexVertex;
  
     function b2TimeOfImpact() {
        b2TimeOfImpact.b2TimeOfImpact.apply(this, arguments);
     };
     Box2D.Collision.b2TimeOfImpact = b2TimeOfImpact;
  
     function b2TOIInput() {
        b2TOIInput.b2TOIInput.apply(this, arguments);
     };
     Box2D.Collision.b2TOIInput = b2TOIInput;
  
     function b2WorldManifold() {
        b2WorldManifold.b2WorldManifold.apply(this, arguments);
        if (this.constructor === b2WorldManifold) this.b2WorldManifold.apply(this, arguments);
     };
     Box2D.Collision.b2WorldManifold = b2WorldManifold;
  
     function ClipVertex() {
        ClipVertex.ClipVertex.apply(this, arguments);
     };
     Box2D.Collision.ClipVertex = ClipVertex;
  
     function Features() {
        Features.Features.apply(this, arguments);
     };
     Box2D.Collision.Features = Features;
  
     function b2CircleShape() {
        b2CircleShape.b2CircleShape.apply(this, arguments);
        if (this.constructor === b2CircleShape) this.b2CircleShape.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2CircleShape = b2CircleShape;
  
     function b2EdgeChainDef() {
        b2EdgeChainDef.b2EdgeChainDef.apply(this, arguments);
        if (this.constructor === b2EdgeChainDef) this.b2EdgeChainDef.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2EdgeChainDef = b2EdgeChainDef;
  
     function b2EdgeShape() {
        b2EdgeShape.b2EdgeShape.apply(this, arguments);
        if (this.constructor === b2EdgeShape) this.b2EdgeShape.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2EdgeShape = b2EdgeShape;
  
     function b2MassData() {
        b2MassData.b2MassData.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2MassData = b2MassData;
  
     function b2PolygonShape() {
        b2PolygonShape.b2PolygonShape.apply(this, arguments);
        if (this.constructor === b2PolygonShape) this.b2PolygonShape.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2PolygonShape = b2PolygonShape;
  
     function b2Shape() {
        b2Shape.b2Shape.apply(this, arguments);
        if (this.constructor === b2Shape) this.b2Shape.apply(this, arguments);
     };
     Box2D.Collision.Shapes.b2Shape = b2Shape;
     Box2D.Common.b2internal = 'Box2D.Common.b2internal';
  
     function b2Color() {
        b2Color.b2Color.apply(this, arguments);
        if (this.constructor === b2Color) this.b2Color.apply(this, arguments);
     };
     Box2D.Common.b2Color = b2Color;
  
     function b2Settings() {
        b2Settings.b2Settings.apply(this, arguments);
     };
     Box2D.Common.b2Settings = b2Settings;
  
     function b2Mat22() {
        b2Mat22.b2Mat22.apply(this, arguments);
        if (this.constructor === b2Mat22) this.b2Mat22.apply(this, arguments);
     };
     Box2D.Common.Math.b2Mat22 = b2Mat22;
  
     function b2Mat33() {
        b2Mat33.b2Mat33.apply(this, arguments);
        if (this.constructor === b2Mat33) this.b2Mat33.apply(this, arguments);
     };
     Box2D.Common.Math.b2Mat33 = b2Mat33;
  
     function b2Math() {
        b2Math.b2Math.apply(this, arguments);
     };
     Box2D.Common.Math.b2Math = b2Math;
  
     function b2Sweep() {
        b2Sweep.b2Sweep.apply(this, arguments);
     };
     Box2D.Common.Math.b2Sweep = b2Sweep;
  
     function b2Transform() {
        b2Transform.b2Transform.apply(this, arguments);
        if (this.constructor === b2Transform) this.b2Transform.apply(this, arguments);
     };
     Box2D.Common.Math.b2Transform = b2Transform;
  
     function b2Vec2() {
        b2Vec2.b2Vec2.apply(this, arguments);
        if (this.constructor === b2Vec2) this.b2Vec2.apply(this, arguments);
     };
     Box2D.Common.Math.b2Vec2 = b2Vec2;
  
     function b2Vec3() {
        b2Vec3.b2Vec3.apply(this, arguments);
        if (this.constructor === b2Vec3) this.b2Vec3.apply(this, arguments);
     };
     Box2D.Common.Math.b2Vec3 = b2Vec3;
  
     function b2Body() {
        b2Body.b2Body.apply(this, arguments);
        if (this.constructor === b2Body) this.b2Body.apply(this, arguments);
     };
     Box2D.Dynamics.b2Body = b2Body;
  
     function b2BodyDef() {
        b2BodyDef.b2BodyDef.apply(this, arguments);
        if (this.constructor === b2BodyDef) this.b2BodyDef.apply(this, arguments);
     };
     Box2D.Dynamics.b2BodyDef = b2BodyDef;
  
     function b2ContactFilter() {
        b2ContactFilter.b2ContactFilter.apply(this, arguments);
     };
     Box2D.Dynamics.b2ContactFilter = b2ContactFilter;
  
     function b2ContactImpulse() {
        b2ContactImpulse.b2ContactImpulse.apply(this, arguments);
     };
     Box2D.Dynamics.b2ContactImpulse = b2ContactImpulse;
  
     function b2ContactListener() {
        b2ContactListener.b2ContactListener.apply(this, arguments);
     };
     Box2D.Dynamics.b2ContactListener = b2ContactListener;
  
     function b2ContactManager() {
        b2ContactManager.b2ContactManager.apply(this, arguments);
        if (this.constructor === b2ContactManager) this.b2ContactManager.apply(this, arguments);
     };
     Box2D.Dynamics.b2ContactManager = b2ContactManager;
  
     function b2DebugDraw() {
        b2DebugDraw.b2DebugDraw.apply(this, arguments);
        if (this.constructor === b2DebugDraw) this.b2DebugDraw.apply(this, arguments);
     };
     Box2D.Dynamics.b2DebugDraw = b2DebugDraw;
  
     function b2DestructionListener() {
        b2DestructionListener.b2DestructionListener.apply(this, arguments);
     };
     Box2D.Dynamics.b2DestructionListener = b2DestructionListener;
  
     function b2FilterData() {
        b2FilterData.b2FilterData.apply(this, arguments);
     };
     Box2D.Dynamics.b2FilterData = b2FilterData;
  
     function b2Fixture() {
        b2Fixture.b2Fixture.apply(this, arguments);
        if (this.constructor === b2Fixture) this.b2Fixture.apply(this, arguments);
     };
     Box2D.Dynamics.b2Fixture = b2Fixture;
  
     function b2FixtureDef() {
        b2FixtureDef.b2FixtureDef.apply(this, arguments);
        if (this.constructor === b2FixtureDef) this.b2FixtureDef.apply(this, arguments);
     };
     Box2D.Dynamics.b2FixtureDef = b2FixtureDef;
  
     function b2Island() {
        b2Island.b2Island.apply(this, arguments);
        if (this.constructor === b2Island) this.b2Island.apply(this, arguments);
     };
     Box2D.Dynamics.b2Island = b2Island;
  
     function b2TimeStep() {
        b2TimeStep.b2TimeStep.apply(this, arguments);
     };
     Box2D.Dynamics.b2TimeStep = b2TimeStep;
  
     function b2World() {
        b2World.b2World.apply(this, arguments);
        if (this.constructor === b2World) this.b2World.apply(this, arguments);
     };
     Box2D.Dynamics.b2World = b2World;
  
     function b2CircleContact() {
        b2CircleContact.b2CircleContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2CircleContact = b2CircleContact;
  
     function b2Contact() {
        b2Contact.b2Contact.apply(this, arguments);
        if (this.constructor === b2Contact) this.b2Contact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2Contact = b2Contact;
  
     function b2ContactConstraint() {
        b2ContactConstraint.b2ContactConstraint.apply(this, arguments);
        if (this.constructor === b2ContactConstraint) this.b2ContactConstraint.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactConstraint = b2ContactConstraint;
  
     function b2ContactConstraintPoint() {
        b2ContactConstraintPoint.b2ContactConstraintPoint.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactConstraintPoint = b2ContactConstraintPoint;
  
     function b2ContactEdge() {
        b2ContactEdge.b2ContactEdge.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactEdge = b2ContactEdge;
  
     function b2ContactFactory() {
        b2ContactFactory.b2ContactFactory.apply(this, arguments);
        if (this.constructor === b2ContactFactory) this.b2ContactFactory.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactFactory = b2ContactFactory;
  
     function b2ContactRegister() {
        b2ContactRegister.b2ContactRegister.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactRegister = b2ContactRegister;
  
     function b2ContactResult() {
        b2ContactResult.b2ContactResult.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactResult = b2ContactResult;
  
     function b2ContactSolver() {
        b2ContactSolver.b2ContactSolver.apply(this, arguments);
        if (this.constructor === b2ContactSolver) this.b2ContactSolver.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2ContactSolver = b2ContactSolver;
  
     function b2EdgeAndCircleContact() {
        b2EdgeAndCircleContact.b2EdgeAndCircleContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2EdgeAndCircleContact = b2EdgeAndCircleContact;
  
     function b2NullContact() {
        b2NullContact.b2NullContact.apply(this, arguments);
        if (this.constructor === b2NullContact) this.b2NullContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2NullContact = b2NullContact;
  
     function b2PolyAndCircleContact() {
        b2PolyAndCircleContact.b2PolyAndCircleContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2PolyAndCircleContact = b2PolyAndCircleContact;
  
     function b2PolyAndEdgeContact() {
        b2PolyAndEdgeContact.b2PolyAndEdgeContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2PolyAndEdgeContact = b2PolyAndEdgeContact;
  
     function b2PolygonContact() {
        b2PolygonContact.b2PolygonContact.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2PolygonContact = b2PolygonContact;
  
     function b2PositionSolverManifold() {
        b2PositionSolverManifold.b2PositionSolverManifold.apply(this, arguments);
        if (this.constructor === b2PositionSolverManifold) this.b2PositionSolverManifold.apply(this, arguments);
     };
     Box2D.Dynamics.Contacts.b2PositionSolverManifold = b2PositionSolverManifold;
  
     function b2BuoyancyController() {
        b2BuoyancyController.b2BuoyancyController.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2BuoyancyController = b2BuoyancyController;
  
     function b2ConstantAccelController() {
        b2ConstantAccelController.b2ConstantAccelController.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2ConstantAccelController = b2ConstantAccelController;
  
     function b2ConstantForceController() {
        b2ConstantForceController.b2ConstantForceController.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2ConstantForceController = b2ConstantForceController;
  
     function b2Controller() {
        b2Controller.b2Controller.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2Controller = b2Controller;
  
     function b2ControllerEdge() {
        b2ControllerEdge.b2ControllerEdge.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2ControllerEdge = b2ControllerEdge;
  
     function b2GravityController() {
        b2GravityController.b2GravityController.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2GravityController = b2GravityController;
  
     function b2TensorDampingController() {
        b2TensorDampingController.b2TensorDampingController.apply(this, arguments);
     };
     Box2D.Dynamics.Controllers.b2TensorDampingController = b2TensorDampingController;
  
     function b2DistanceJoint() {
        b2DistanceJoint.b2DistanceJoint.apply(this, arguments);
        if (this.constructor === b2DistanceJoint) this.b2DistanceJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2DistanceJoint = b2DistanceJoint;
  
     function b2DistanceJointDef() {
        b2DistanceJointDef.b2DistanceJointDef.apply(this, arguments);
        if (this.constructor === b2DistanceJointDef) this.b2DistanceJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2DistanceJointDef = b2DistanceJointDef;
  
     function b2FrictionJoint() {
        b2FrictionJoint.b2FrictionJoint.apply(this, arguments);
        if (this.constructor === b2FrictionJoint) this.b2FrictionJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2FrictionJoint = b2FrictionJoint;
  
     function b2FrictionJointDef() {
        b2FrictionJointDef.b2FrictionJointDef.apply(this, arguments);
        if (this.constructor === b2FrictionJointDef) this.b2FrictionJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2FrictionJointDef = b2FrictionJointDef;
  
     function b2GearJoint() {
        b2GearJoint.b2GearJoint.apply(this, arguments);
        if (this.constructor === b2GearJoint) this.b2GearJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2GearJoint = b2GearJoint;
  
     function b2GearJointDef() {
        b2GearJointDef.b2GearJointDef.apply(this, arguments);
        if (this.constructor === b2GearJointDef) this.b2GearJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2GearJointDef = b2GearJointDef;
  
     function b2Jacobian() {
        b2Jacobian.b2Jacobian.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2Jacobian = b2Jacobian;
  
     function b2Joint() {
        b2Joint.b2Joint.apply(this, arguments);
        if (this.constructor === b2Joint) this.b2Joint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2Joint = b2Joint;
  
     function b2JointDef() {
        b2JointDef.b2JointDef.apply(this, arguments);
        if (this.constructor === b2JointDef) this.b2JointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2JointDef = b2JointDef;
  
     function b2JointEdge() {
        b2JointEdge.b2JointEdge.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2JointEdge = b2JointEdge;
  
     function b2LineJoint() {
        b2LineJoint.b2LineJoint.apply(this, arguments);
        if (this.constructor === b2LineJoint) this.b2LineJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2LineJoint = b2LineJoint;
  
     function b2LineJointDef() {
        b2LineJointDef.b2LineJointDef.apply(this, arguments);
        if (this.constructor === b2LineJointDef) this.b2LineJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2LineJointDef = b2LineJointDef;
  
     function b2MouseJoint() {
        b2MouseJoint.b2MouseJoint.apply(this, arguments);
        if (this.constructor === b2MouseJoint) this.b2MouseJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2MouseJoint = b2MouseJoint;
  
     function b2MouseJointDef() {
        b2MouseJointDef.b2MouseJointDef.apply(this, arguments);
        if (this.constructor === b2MouseJointDef) this.b2MouseJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2MouseJointDef = b2MouseJointDef;
  
     function b2PrismaticJoint() {
        b2PrismaticJoint.b2PrismaticJoint.apply(this, arguments);
        if (this.constructor === b2PrismaticJoint) this.b2PrismaticJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2PrismaticJoint = b2PrismaticJoint;
  
     function b2PrismaticJointDef() {
        b2PrismaticJointDef.b2PrismaticJointDef.apply(this, arguments);
        if (this.constructor === b2PrismaticJointDef) this.b2PrismaticJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2PrismaticJointDef = b2PrismaticJointDef;
  
     function b2PulleyJoint() {
        b2PulleyJoint.b2PulleyJoint.apply(this, arguments);
        if (this.constructor === b2PulleyJoint) this.b2PulleyJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2PulleyJoint = b2PulleyJoint;
  
     function b2PulleyJointDef() {
        b2PulleyJointDef.b2PulleyJointDef.apply(this, arguments);
        if (this.constructor === b2PulleyJointDef) this.b2PulleyJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2PulleyJointDef = b2PulleyJointDef;
  
     function b2RevoluteJoint() {
        b2RevoluteJoint.b2RevoluteJoint.apply(this, arguments);
        if (this.constructor === b2RevoluteJoint) this.b2RevoluteJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2RevoluteJoint = b2RevoluteJoint;
  
     function b2RevoluteJointDef() {
        b2RevoluteJointDef.b2RevoluteJointDef.apply(this, arguments);
        if (this.constructor === b2RevoluteJointDef) this.b2RevoluteJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2RevoluteJointDef = b2RevoluteJointDef;
  
     function b2WeldJoint() {
        b2WeldJoint.b2WeldJoint.apply(this, arguments);
        if (this.constructor === b2WeldJoint) this.b2WeldJoint.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2WeldJoint = b2WeldJoint;
  
     function b2WeldJointDef() {
        b2WeldJointDef.b2WeldJointDef.apply(this, arguments);
        if (this.constructor === b2WeldJointDef) this.b2WeldJointDef.apply(this, arguments);
     };
     Box2D.Dynamics.Joints.b2WeldJointDef = b2WeldJointDef;
  })(); //definitions
  Box2D.postDefs = [];
  (function () {
     var b2CircleShape = Box2D.Collision.Shapes.b2CircleShape,
        b2EdgeChainDef = Box2D.Collision.Shapes.b2EdgeChainDef,
        b2EdgeShape = Box2D.Collision.Shapes.b2EdgeShape,
        b2MassData = Box2D.Collision.Shapes.b2MassData,
        b2PolygonShape = Box2D.Collision.Shapes.b2PolygonShape,
        b2Shape = Box2D.Collision.Shapes.b2Shape,
        b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2AABB = Box2D.Collision.b2AABB,
        b2Bound = Box2D.Collision.b2Bound,
        b2BoundValues = Box2D.Collision.b2BoundValues,
        b2Collision = Box2D.Collision.b2Collision,
        b2ContactID = Box2D.Collision.b2ContactID,
        b2ContactPoint = Box2D.Collision.b2ContactPoint,
        b2Distance = Box2D.Collision.b2Distance,
        b2DistanceInput = Box2D.Collision.b2DistanceInput,
        b2DistanceOutput = Box2D.Collision.b2DistanceOutput,
        b2DistanceProxy = Box2D.Collision.b2DistanceProxy,
        b2DynamicTree = Box2D.Collision.b2DynamicTree,
        b2DynamicTreeBroadPhase = Box2D.Collision.b2DynamicTreeBroadPhase,
        b2DynamicTreeNode = Box2D.Collision.b2DynamicTreeNode,
        b2DynamicTreePair = Box2D.Collision.b2DynamicTreePair,
        b2Manifold = Box2D.Collision.b2Manifold,
        b2ManifoldPoint = Box2D.Collision.b2ManifoldPoint,
        b2Point = Box2D.Collision.b2Point,
        b2RayCastInput = Box2D.Collision.b2RayCastInput,
        b2RayCastOutput = Box2D.Collision.b2RayCastOutput,
        b2Segment = Box2D.Collision.b2Segment,
        b2SeparationFunction = Box2D.Collision.b2SeparationFunction,
        b2Simplex = Box2D.Collision.b2Simplex,
        b2SimplexCache = Box2D.Collision.b2SimplexCache,
        b2SimplexVertex = Box2D.Collision.b2SimplexVertex,
        b2TimeOfImpact = Box2D.Collision.b2TimeOfImpact,
        b2TOIInput = Box2D.Collision.b2TOIInput,
        b2WorldManifold = Box2D.Collision.b2WorldManifold,
        ClipVertex = Box2D.Collision.ClipVertex,
        Features = Box2D.Collision.Features,
        IBroadPhase = Box2D.Collision.IBroadPhase;
  
     b2AABB.b2AABB = function () {
        this.lowerBound = new b2Vec2();
        this.upperBound = new b2Vec2();
     };
     b2AABB.prototype.IsValid = function () {
        var dX = this.upperBound.x - this.lowerBound.x;
        var dY = this.upperBound.y - this.lowerBound.y;
        var valid = dX >= 0.0 && dY >= 0.0;
        valid = valid && this.lowerBound.IsValid() && this.upperBound.IsValid();
        return valid;
     }
     b2AABB.prototype.GetCenter = function () {
        return new b2Vec2((this.lowerBound.x + this.upperBound.x) / 2, (this.lowerBound.y + this.upperBound.y) / 2);
     }
     b2AABB.prototype.GetExtents = function () {
        return new b2Vec2((this.upperBound.x - this.lowerBound.x) / 2, (this.upperBound.y - this.lowerBound.y) / 2);
     }
     b2AABB.prototype.Contains = function (aabb) {
        var result = true;
        result = result && this.lowerBound.x <= aabb.lowerBound.x;
        result = result && this.lowerBound.y <= aabb.lowerBound.y;
        result = result && aabb.upperBound.x <= this.upperBound.x;
        result = result && aabb.upperBound.y <= this.upperBound.y;
        return result;
     }
     b2AABB.prototype.RayCast = function (output, input) {
        var tmin = (-Number.MAX_VALUE);
        var tmax = Number.MAX_VALUE;
        var pX = input.p1.x;
        var pY = input.p1.y;
        var dX = input.p2.x - input.p1.x;
        var dY = input.p2.y - input.p1.y;
        var absDX = Math.abs(dX);
        var absDY = Math.abs(dY);
        var normal = output.normal;
        var inv_d = 0;
        var t1 = 0;
        var t2 = 0;
        var t3 = 0;
        var s = 0; {
           if (absDX < Number.MIN_VALUE) {
              if (pX < this.lowerBound.x || this.upperBound.x < pX) return false;
           }
           else {
              inv_d = 1.0 / dX;
              t1 = (this.lowerBound.x - pX) * inv_d;
              t2 = (this.upperBound.x - pX) * inv_d;
              s = (-1.0);
              if (t1 > t2) {
                 t3 = t1;
                 t1 = t2;
                 t2 = t3;
                 s = 1.0;
              }
              if (t1 > tmin) {
                 normal.x = s;
                 normal.y = 0;
                 tmin = t1;
              }
              tmax = Math.min(tmax, t2);
              if (tmin > tmax) return false;
           }
        } {
           if (absDY < Number.MIN_VALUE) {
              if (pY < this.lowerBound.y || this.upperBound.y < pY) return false;
           }
           else {
              inv_d = 1.0 / dY;
              t1 = (this.lowerBound.y - pY) * inv_d;
              t2 = (this.upperBound.y - pY) * inv_d;
              s = (-1.0);
              if (t1 > t2) {
                 t3 = t1;
                 t1 = t2;
                 t2 = t3;
                 s = 1.0;
              }
              if (t1 > tmin) {
                 normal.y = s;
                 normal.x = 0;
                 tmin = t1;
              }
              tmax = Math.min(tmax, t2);
              if (tmin > tmax) return false;
           }
        }
        output.fraction = tmin;
        return true;
     }
     b2AABB.prototype.TestOverlap = function (other) {
        var d1X = other.lowerBound.x - this.upperBound.x;
        var d1Y = other.lowerBound.y - this.upperBound.y;
        var d2X = this.lowerBound.x - other.upperBound.x;
        var d2Y = this.lowerBound.y - other.upperBound.y;
        if (d1X > 0.0 || d1Y > 0.0) return false;
        if (d2X > 0.0 || d2Y > 0.0) return false;
        return true;
     }
     b2AABB.Combine = function (aabb1, aabb2) {
        var aabb = new b2AABB();
        aabb.Combine(aabb1, aabb2);
        return aabb;
     }
     b2AABB.prototype.Combine = function (aabb1, aabb2) {
        this.lowerBound.x = Math.min(aabb1.lowerBound.x, aabb2.lowerBound.x);
        this.lowerBound.y = Math.min(aabb1.lowerBound.y, aabb2.lowerBound.y);
        this.upperBound.x = Math.max(aabb1.upperBound.x, aabb2.upperBound.x);
        this.upperBound.y = Math.max(aabb1.upperBound.y, aabb2.upperBound.y);
     }
     b2Bound.b2Bound = function () {};
     b2Bound.prototype.IsLower = function () {
        return (this.value & 1) == 0;
     }
     b2Bound.prototype.IsUpper = function () {
        return (this.value & 1) == 1;
     }
     b2Bound.prototype.Swap = function (b) {
        var tempValue = this.value;
        var tempProxy = this.proxy;
        var tempStabbingCount = this.stabbingCount;
        this.value = b.value;
        this.proxy = b.proxy;
        this.stabbingCount = b.stabbingCount;
        b.value = tempValue;
        b.proxy = tempProxy;
        b.stabbingCount = tempStabbingCount;
     }
     b2BoundValues.b2BoundValues = function () {};
     b2BoundValues.prototype.b2BoundValues = function () {
        this.lowerValues = new Vector_a2j_Number();
        this.lowerValues[0] = 0.0;
        this.lowerValues[1] = 0.0;
        this.upperValues = new Vector_a2j_Number();
        this.upperValues[0] = 0.0;
        this.upperValues[1] = 0.0;
     }
     b2Collision.b2Collision = function () {};
     b2Collision.ClipSegmentToLine = function (vOut, vIn, normal, offset) {
        if (offset === undefined) offset = 0;
        var cv;
        var numOut = 0;
        cv = vIn[0];
        var vIn0 = cv.v;
        cv = vIn[1];
        var vIn1 = cv.v;
        var distance0 = normal.x * vIn0.x + normal.y * vIn0.y - offset;
        var distance1 = normal.x * vIn1.x + normal.y * vIn1.y - offset;
        if (distance0 <= 0.0) vOut[numOut++].Set(vIn[0]);
        if (distance1 <= 0.0) vOut[numOut++].Set(vIn[1]);
        if (distance0 * distance1 < 0.0) {
           var interp = distance0 / (distance0 - distance1);
           cv = vOut[numOut];
           var tVec = cv.v;
           tVec.x = vIn0.x + interp * (vIn1.x - vIn0.x);
           tVec.y = vIn0.y + interp * (vIn1.y - vIn0.y);
           cv = vOut[numOut];
           var cv2;
           if (distance0 > 0.0) {
              cv2 = vIn[0];
              cv.id = cv2.id;
           }
           else {
              cv2 = vIn[1];
              cv.id = cv2.id;
           }++numOut;
        }
        return numOut;
     }
     b2Collision.EdgeSeparation = function (poly1, xf1, edge1, poly2, xf2) {
        if (edge1 === undefined) edge1 = 0;
        var count1 = parseInt(poly1.m_vertexCount);
        var vertices1 = poly1.m_vertices;
        var normals1 = poly1.m_normals;
        var count2 = parseInt(poly2.m_vertexCount);
        var vertices2 = poly2.m_vertices;
        var tMat;
        var tVec;
        tMat = xf1.R;
        tVec = normals1[edge1];
        var normal1WorldX = (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var normal1WorldY = (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tMat = xf2.R;
        var normal1X = (tMat.col1.x * normal1WorldX + tMat.col1.y * normal1WorldY);
        var normal1Y = (tMat.col2.x * normal1WorldX + tMat.col2.y * normal1WorldY);
        var index = 0;
        var minDot = Number.MAX_VALUE;
        for (var i = 0; i < count2; ++i) {
           tVec = vertices2[i];
           var dot = tVec.x * normal1X + tVec.y * normal1Y;
           if (dot < minDot) {
              minDot = dot;
              index = i;
           }
        }
        tVec = vertices1[edge1];
        tMat = xf1.R;
        var v1X = xf1.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var v1Y = xf1.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tVec = vertices2[index];
        tMat = xf2.R;
        var v2X = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var v2Y = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        v2X -= v1X;
        v2Y -= v1Y;
        var separation = v2X * normal1WorldX + v2Y * normal1WorldY;
        return separation;
     }
     b2Collision.FindMaxSeparation = function (edgeIndex, poly1, xf1, poly2, xf2) {
        var count1 = parseInt(poly1.m_vertexCount);
        var normals1 = poly1.m_normals;
        var tVec;
        var tMat;
        tMat = xf2.R;
        tVec = poly2.m_centroid;
        var dX = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var dY = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tMat = xf1.R;
        tVec = poly1.m_centroid;
        dX -= xf1.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        dY -= xf1.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        var dLocal1X = (dX * xf1.R.col1.x + dY * xf1.R.col1.y);
        var dLocal1Y = (dX * xf1.R.col2.x + dY * xf1.R.col2.y);
        var edge = 0;
        var maxDot = (-Number.MAX_VALUE);
        for (var i = 0; i < count1; ++i) {
           tVec = normals1[i];
           var dot = (tVec.x * dLocal1X + tVec.y * dLocal1Y);
           if (dot > maxDot) {
              maxDot = dot;
              edge = i;
           }
        }
        var s = b2Collision.EdgeSeparation(poly1, xf1, edge, poly2, xf2);
        var prevEdge = parseInt(edge - 1 >= 0 ? edge - 1 : count1 - 1);
        var sPrev = b2Collision.EdgeSeparation(poly1, xf1, prevEdge, poly2, xf2);
        var nextEdge = parseInt(edge + 1 < count1 ? edge + 1 : 0);
        var sNext = b2Collision.EdgeSeparation(poly1, xf1, nextEdge, poly2, xf2);
        var bestEdge = 0;
        var bestSeparation = 0;
        var increment = 0;
        if (sPrev > s && sPrev > sNext) {
           increment = (-1);
           bestEdge = prevEdge;
           bestSeparation = sPrev;
        }
        else if (sNext > s) {
           increment = 1;
           bestEdge = nextEdge;
           bestSeparation = sNext;
        }
        else {
           edgeIndex[0] = edge;
           return s;
        }
        while (true) {
           if (increment == (-1)) edge = bestEdge - 1 >= 0 ? bestEdge - 1 : count1 - 1;
           else edge = bestEdge + 1 < count1 ? bestEdge + 1 : 0;s = b2Collision.EdgeSeparation(poly1, xf1, edge, poly2, xf2);
           if (s > bestSeparation) {
              bestEdge = edge;
              bestSeparation = s;
           }
           else {
              break;
           }
        }
        edgeIndex[0] = bestEdge;
        return bestSeparation;
     }
     b2Collision.FindIncidentEdge = function (c, poly1, xf1, edge1, poly2, xf2) {
        if (edge1 === undefined) edge1 = 0;
        var count1 = parseInt(poly1.m_vertexCount);
        var normals1 = poly1.m_normals;
        var count2 = parseInt(poly2.m_vertexCount);
        var vertices2 = poly2.m_vertices;
        var normals2 = poly2.m_normals;
        var tMat;
        var tVec;
        tMat = xf1.R;
        tVec = normals1[edge1];
        var normal1X = (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var normal1Y = (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tMat = xf2.R;
        var tX = (tMat.col1.x * normal1X + tMat.col1.y * normal1Y);
        normal1Y = (tMat.col2.x * normal1X + tMat.col2.y * normal1Y);
        normal1X = tX;
        var index = 0;
        var minDot = Number.MAX_VALUE;
        for (var i = 0; i < count2; ++i) {
           tVec = normals2[i];
           var dot = (normal1X * tVec.x + normal1Y * tVec.y);
           if (dot < minDot) {
              minDot = dot;
              index = i;
           }
        }
        var tClip;
        var i1 = parseInt(index);
        var i2 = parseInt(i1 + 1 < count2 ? i1 + 1 : 0);
        tClip = c[0];
        tVec = vertices2[i1];
        tMat = xf2.R;
        tClip.v.x = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        tClip.v.y = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tClip.id.features.referenceEdge = edge1;
        tClip.id.features.incidentEdge = i1;
        tClip.id.features.incidentVertex = 0;
        tClip = c[1];
        tVec = vertices2[i2];
        tMat = xf2.R;
        tClip.v.x = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        tClip.v.y = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tClip.id.features.referenceEdge = edge1;
        tClip.id.features.incidentEdge = i2;
        tClip.id.features.incidentVertex = 1;
     }
     b2Collision.MakeClipPointVector = function () {
        var r = new Vector(2);
        r[0] = new ClipVertex();
        r[1] = new ClipVertex();
        return r;
     }
     b2Collision.CollidePolygons = function (manifold, polyA, xfA, polyB, xfB) {
        var cv;
        manifold.m_pointCount = 0;
        var totalRadius = polyA.m_radius + polyB.m_radius;
        var edgeA = 0;
        b2Collision.s_edgeAO[0] = edgeA;
        var separationA = b2Collision.FindMaxSeparation(b2Collision.s_edgeAO, polyA, xfA, polyB, xfB);
        edgeA = b2Collision.s_edgeAO[0];
        if (separationA > totalRadius) return;
        var edgeB = 0;
        b2Collision.s_edgeBO[0] = edgeB;
        var separationB = b2Collision.FindMaxSeparation(b2Collision.s_edgeBO, polyB, xfB, polyA, xfA);
        edgeB = b2Collision.s_edgeBO[0];
        if (separationB > totalRadius) return;
        var poly1;
        var poly2;
        var xf1;
        var xf2;
        var edge1 = 0;
        var flip = 0;
        var k_relativeTol = 0.98;
        var k_absoluteTol = 0.001;
        var tMat;
        if (separationB > k_relativeTol * separationA + k_absoluteTol) {
           poly1 = polyB;
           poly2 = polyA;
           xf1 = xfB;
           xf2 = xfA;
           edge1 = edgeB;
           manifold.m_type = b2Manifold.e_faceB;
           flip = 1;
        }
        else {
           poly1 = polyA;
           poly2 = polyB;
           xf1 = xfA;
           xf2 = xfB;
           edge1 = edgeA;
           manifold.m_type = b2Manifold.e_faceA;
           flip = 0;
        }
        var incidentEdge = b2Collision.s_incidentEdge;
        b2Collision.FindIncidentEdge(incidentEdge, poly1, xf1, edge1, poly2, xf2);
        var count1 = parseInt(poly1.m_vertexCount);
        var vertices1 = poly1.m_vertices;
        var local_v11 = vertices1[edge1];
        var local_v12;
        if (edge1 + 1 < count1) {
           local_v12 = vertices1[parseInt(edge1 + 1)];
        }
        else {
           local_v12 = vertices1[0];
        }
        var localTangent = b2Collision.s_localTangent;
        localTangent.Set(local_v12.x - local_v11.x, local_v12.y - local_v11.y);
        localTangent.Normalize();
        var localNormal = b2Collision.s_localNormal;
        localNormal.x = localTangent.y;
        localNormal.y = (-localTangent.x);
        var planePoint = b2Collision.s_planePoint;
        planePoint.Set(0.5 * (local_v11.x + local_v12.x), 0.5 * (local_v11.y + local_v12.y));
        var tangent = b2Collision.s_tangent;
        tMat = xf1.R;
        tangent.x = (tMat.col1.x * localTangent.x + tMat.col2.x * localTangent.y);
        tangent.y = (tMat.col1.y * localTangent.x + tMat.col2.y * localTangent.y);
        var tangent2 = b2Collision.s_tangent2;
        tangent2.x = (-tangent.x);
        tangent2.y = (-tangent.y);
        var normal = b2Collision.s_normal;
        normal.x = tangent.y;
        normal.y = (-tangent.x);
        var v11 = b2Collision.s_v11;
        var v12 = b2Collision.s_v12;
        v11.x = xf1.position.x + (tMat.col1.x * local_v11.x + tMat.col2.x * local_v11.y);
        v11.y = xf1.position.y + (tMat.col1.y * local_v11.x + tMat.col2.y * local_v11.y);
        v12.x = xf1.position.x + (tMat.col1.x * local_v12.x + tMat.col2.x * local_v12.y);
        v12.y = xf1.position.y + (tMat.col1.y * local_v12.x + tMat.col2.y * local_v12.y);
        var frontOffset = normal.x * v11.x + normal.y * v11.y;
        var sideOffset1 = (-tangent.x * v11.x) - tangent.y * v11.y + totalRadius;
        var sideOffset2 = tangent.x * v12.x + tangent.y * v12.y + totalRadius;
        var clipPoints1 = b2Collision.s_clipPoints1;
        var clipPoints2 = b2Collision.s_clipPoints2;
        var np = 0;
        np = b2Collision.ClipSegmentToLine(clipPoints1, incidentEdge, tangent2, sideOffset1);
        if (np < 2) return;
        np = b2Collision.ClipSegmentToLine(clipPoints2, clipPoints1, tangent, sideOffset2);
        if (np < 2) return;
        manifold.m_localPlaneNormal.SetV(localNormal);
        manifold.m_localPoint.SetV(planePoint);
        var pointCount = 0;
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; ++i) {
           cv = clipPoints2[i];
           var separation = normal.x * cv.v.x + normal.y * cv.v.y - frontOffset;
           if (separation <= totalRadius) {
              var cp = manifold.m_points[pointCount];
              tMat = xf2.R;
              var tX = cv.v.x - xf2.position.x;
              var tY = cv.v.y - xf2.position.y;
              cp.m_localPoint.x = (tX * tMat.col1.x + tY * tMat.col1.y);
              cp.m_localPoint.y = (tX * tMat.col2.x + tY * tMat.col2.y);
              cp.m_id.Set(cv.id);
              cp.m_id.features.flip = flip;
              ++pointCount;
           }
        }
        manifold.m_pointCount = pointCount;
     }
     b2Collision.CollideCircles = function (manifold, circle1, xf1, circle2, xf2) {
        manifold.m_pointCount = 0;
        var tMat;
        var tVec;
        tMat = xf1.R;
        tVec = circle1.m_p;
        var p1X = xf1.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var p1Y = xf1.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        tMat = xf2.R;
        tVec = circle2.m_p;
        var p2X = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var p2Y = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        var dX = p2X - p1X;
        var dY = p2Y - p1Y;
        var distSqr = dX * dX + dY * dY;
        var radius = circle1.m_radius + circle2.m_radius;
        if (distSqr > radius * radius) {
           return;
        }
        manifold.m_type = b2Manifold.e_circles;
        manifold.m_localPoint.SetV(circle1.m_p);
        manifold.m_localPlaneNormal.SetZero();
        manifold.m_pointCount = 1;
        manifold.m_points[0].m_localPoint.SetV(circle2.m_p);
        manifold.m_points[0].m_id.key = 0;
     }
     b2Collision.CollidePolygonAndCircle = function (manifold, polygon, xf1, circle, xf2) {
        manifold.m_pointCount = 0;
        var tPoint;
        var dX = 0;
        var dY = 0;
        var positionX = 0;
        var positionY = 0;
        var tVec;
        var tMat;
        tMat = xf2.R;
        tVec = circle.m_p;
        var cX = xf2.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var cY = xf2.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        dX = cX - xf1.position.x;
        dY = cY - xf1.position.y;
        tMat = xf1.R;
        var cLocalX = (dX * tMat.col1.x + dY * tMat.col1.y);
        var cLocalY = (dX * tMat.col2.x + dY * tMat.col2.y);
        var dist = 0;
        var normalIndex = 0;
        var separation = (-Number.MAX_VALUE);
        var radius = polygon.m_radius + circle.m_radius;
        var vertexCount = parseInt(polygon.m_vertexCount);
        var vertices = polygon.m_vertices;
        var normals = polygon.m_normals;
        for (var i = 0; i < vertexCount; ++i) {
           tVec = vertices[i];
           dX = cLocalX - tVec.x;
           dY = cLocalY - tVec.y;
           tVec = normals[i];
           var s = tVec.x * dX + tVec.y * dY;
           if (s > radius) {
              return;
           }
           if (s > separation) {
              separation = s;
              normalIndex = i;
           }
        }
        var vertIndex1 = parseInt(normalIndex);
        var vertIndex2 = parseInt(vertIndex1 + 1 < vertexCount ? vertIndex1 + 1 : 0);
        var v1 = vertices[vertIndex1];
        var v2 = vertices[vertIndex2];
        if (separation < Number.MIN_VALUE) {
           manifold.m_pointCount = 1;
           manifold.m_type = b2Manifold.e_faceA;
           manifold.m_localPlaneNormal.SetV(normals[normalIndex]);
           manifold.m_localPoint.x = 0.5 * (v1.x + v2.x);
           manifold.m_localPoint.y = 0.5 * (v1.y + v2.y);
           manifold.m_points[0].m_localPoint.SetV(circle.m_p);
           manifold.m_points[0].m_id.key = 0;
           return;
        }
        var u1 = (cLocalX - v1.x) * (v2.x - v1.x) + (cLocalY - v1.y) * (v2.y - v1.y);
        var u2 = (cLocalX - v2.x) * (v1.x - v2.x) + (cLocalY - v2.y) * (v1.y - v2.y);
        if (u1 <= 0.0) {
           if ((cLocalX - v1.x) * (cLocalX - v1.x) + (cLocalY - v1.y) * (cLocalY - v1.y) > radius * radius) return;
           manifold.m_pointCount = 1;
           manifold.m_type = b2Manifold.e_faceA;
           manifold.m_localPlaneNormal.x = cLocalX - v1.x;
           manifold.m_localPlaneNormal.y = cLocalY - v1.y;
           manifold.m_localPlaneNormal.Normalize();
           manifold.m_localPoint.SetV(v1);
           manifold.m_points[0].m_localPoint.SetV(circle.m_p);
           manifold.m_points[0].m_id.key = 0;
        }
        else if (u2 <= 0) {
           if ((cLocalX - v2.x) * (cLocalX - v2.x) + (cLocalY - v2.y) * (cLocalY - v2.y) > radius * radius) return;
           manifold.m_pointCount = 1;
           manifold.m_type = b2Manifold.e_faceA;
           manifold.m_localPlaneNormal.x = cLocalX - v2.x;
           manifold.m_localPlaneNormal.y = cLocalY - v2.y;
           manifold.m_localPlaneNormal.Normalize();
           manifold.m_localPoint.SetV(v2);
           manifold.m_points[0].m_localPoint.SetV(circle.m_p);
           manifold.m_points[0].m_id.key = 0;
        }
        else {
           var faceCenterX = 0.5 * (v1.x + v2.x);
           var faceCenterY = 0.5 * (v1.y + v2.y);
           separation = (cLocalX - faceCenterX) * normals[vertIndex1].x + (cLocalY - faceCenterY) * normals[vertIndex1].y;
           if (separation > radius) return;
           manifold.m_pointCount = 1;
           manifold.m_type = b2Manifold.e_faceA;
           manifold.m_localPlaneNormal.x = normals[vertIndex1].x;
           manifold.m_localPlaneNormal.y = normals[vertIndex1].y;
           manifold.m_localPlaneNormal.Normalize();
           manifold.m_localPoint.Set(faceCenterX, faceCenterY);
           manifold.m_points[0].m_localPoint.SetV(circle.m_p);
           manifold.m_points[0].m_id.key = 0;
        }
     }
     b2Collision.TestOverlap = function (a, b) {
        var t1 = b.lowerBound;
        var t2 = a.upperBound;
        var d1X = t1.x - t2.x;
        var d1Y = t1.y - t2.y;
        t1 = a.lowerBound;
        t2 = b.upperBound;
        var d2X = t1.x - t2.x;
        var d2Y = t1.y - t2.y;
        if (d1X > 0.0 || d1Y > 0.0) return false;
        if (d2X > 0.0 || d2Y > 0.0) return false;
        return true;
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.b2Collision.s_incidentEdge = b2Collision.MakeClipPointVector();
        Box2D.Collision.b2Collision.s_clipPoints1 = b2Collision.MakeClipPointVector();
        Box2D.Collision.b2Collision.s_clipPoints2 = b2Collision.MakeClipPointVector();
        Box2D.Collision.b2Collision.s_edgeAO = new Vector_a2j_Number(1);
        Box2D.Collision.b2Collision.s_edgeBO = new Vector_a2j_Number(1);
        Box2D.Collision.b2Collision.s_localTangent = new b2Vec2();
        Box2D.Collision.b2Collision.s_localNormal = new b2Vec2();
        Box2D.Collision.b2Collision.s_planePoint = new b2Vec2();
        Box2D.Collision.b2Collision.s_normal = new b2Vec2();
        Box2D.Collision.b2Collision.s_tangent = new b2Vec2();
        Box2D.Collision.b2Collision.s_tangent2 = new b2Vec2();
        Box2D.Collision.b2Collision.s_v11 = new b2Vec2();
        Box2D.Collision.b2Collision.s_v12 = new b2Vec2();
        Box2D.Collision.b2Collision.b2CollidePolyTempVec = new b2Vec2();
        Box2D.Collision.b2Collision.b2_nullFeature = 0x000000ff;
     });
     b2ContactID.b2ContactID = function () {
        this.features = new Features();
     };
     b2ContactID.prototype.b2ContactID = function () {
        this.features._m_id = this;
     }
     b2ContactID.prototype.Set = function (id) {
        this.key = id._key;
     }
     b2ContactID.prototype.Copy = function () {
        var id = new b2ContactID();
        id.key = this.key;
        return id;
     }
     Object.defineProperty(b2ContactID.prototype, 'key', {
        enumerable: false,
        configurable: true,
        get: function () {
           return this._key;
        }
     });
     Object.defineProperty(b2ContactID.prototype, 'key', {
        enumerable: false,
        configurable: true,
        set: function (value) {
           if (value === undefined) value = 0;
           this._key = value;
           this.features._referenceEdge = this._key & 0x000000ff;
           this.features._incidentEdge = ((this._key & 0x0000ff00) >> 8) & 0x000000ff;
           this.features._incidentVertex = ((this._key & 0x00ff0000) >> 16) & 0x000000ff;
           this.features._flip = ((this._key & 0xff000000) >> 24) & 0x000000ff;
        }
     });
     b2ContactPoint.b2ContactPoint = function () {
        this.position = new b2Vec2();
        this.velocity = new b2Vec2();
        this.normal = new b2Vec2();
        this.id = new b2ContactID();
     };
     b2Distance.b2Distance = function () {};
     b2Distance.Distance = function (output, cache, input) {
        ++b2Distance.b2_gjkCalls;
        var proxyA = input.proxyA;
        var proxyB = input.proxyB;
        var transformA = input.transformA;
        var transformB = input.transformB;
        var simplex = b2Distance.s_simplex;
        simplex.ReadCache(cache, proxyA, transformA, proxyB, transformB);
        var vertices = simplex.m_vertices;
        var k_maxIters = 20;
        var saveA = b2Distance.s_saveA;
        var saveB = b2Distance.s_saveB;
        var saveCount = 0;
        var closestPoint = simplex.GetClosestPoint();
        var distanceSqr1 = closestPoint.LengthSquared();
        var distanceSqr2 = distanceSqr1;
        var i = 0;
        var p;
        var iter = 0;
        while (iter < k_maxIters) {
           saveCount = simplex.m_count;
           for (i = 0;
           i < saveCount; i++) {
              saveA[i] = vertices[i].indexA;
              saveB[i] = vertices[i].indexB;
           }
           switch (simplex.m_count) {
           case 1:
              break;
           case 2:
              simplex.Solve2();
              break;
           case 3:
              simplex.Solve3();
              break;
           default:
              b2Settings.b2Assert(false);
           }
           if (simplex.m_count == 3) {
              break;
           }
           p = simplex.GetClosestPoint();
           distanceSqr2 = p.LengthSquared();
           if (distanceSqr2 > distanceSqr1) {}
           distanceSqr1 = distanceSqr2;
           var d = simplex.GetSearchDirection();
           if (d.LengthSquared() < Number.MIN_VALUE * Number.MIN_VALUE) {
              break;
           }
           var vertex = vertices[simplex.m_count];
           vertex.indexA = proxyA.GetSupport(b2Math.MulTMV(transformA.R, d.GetNegative()));
           vertex.wA = b2Math.MulX(transformA, proxyA.GetVertex(vertex.indexA));
           vertex.indexB = proxyB.GetSupport(b2Math.MulTMV(transformB.R, d));
           vertex.wB = b2Math.MulX(transformB, proxyB.GetVertex(vertex.indexB));
           vertex.w = b2Math.SubtractVV(vertex.wB, vertex.wA);
           ++iter;
           ++b2Distance.b2_gjkIters;
           var duplicate = false;
           for (i = 0;
           i < saveCount; i++) {
              if (vertex.indexA == saveA[i] && vertex.indexB == saveB[i]) {
                 duplicate = true;
                 break;
              }
           }
           if (duplicate) {
              break;
           }++simplex.m_count;
        }
        b2Distance.b2_gjkMaxIters = b2Math.Max(b2Distance.b2_gjkMaxIters, iter);
        simplex.GetWitnessPoints(output.pointA, output.pointB);
        output.distance = b2Math.SubtractVV(output.pointA, output.pointB).Length();
        output.iterations = iter;
        simplex.WriteCache(cache);
        if (input.useRadii) {
           var rA = proxyA.m_radius;
           var rB = proxyB.m_radius;
           if (output.distance > rA + rB && output.distance > Number.MIN_VALUE) {
              output.distance -= rA + rB;
              var normal = b2Math.SubtractVV(output.pointB, output.pointA);
              normal.Normalize();
              output.pointA.x += rA * normal.x;
              output.pointA.y += rA * normal.y;
              output.pointB.x -= rB * normal.x;
              output.pointB.y -= rB * normal.y;
           }
           else {
              p = new b2Vec2();
              p.x = .5 * (output.pointA.x + output.pointB.x);
              p.y = .5 * (output.pointA.y + output.pointB.y);
              output.pointA.x = output.pointB.x = p.x;
              output.pointA.y = output.pointB.y = p.y;
              output.distance = 0.0;
           }
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.b2Distance.s_simplex = new b2Simplex();
        Box2D.Collision.b2Distance.s_saveA = new Vector_a2j_Number(3);
        Box2D.Collision.b2Distance.s_saveB = new Vector_a2j_Number(3);
     });
     b2DistanceInput.b2DistanceInput = function () {};
     b2DistanceOutput.b2DistanceOutput = function () {
        this.pointA = new b2Vec2();
        this.pointB = new b2Vec2();
     };
     b2DistanceProxy.b2DistanceProxy = function () {};
     b2DistanceProxy.prototype.Set = function (shape) {
        switch (shape.GetType()) {
        case b2Shape.e_circleShape:
           {
              var circle = (shape instanceof b2CircleShape ? shape : null);
              this.m_vertices = new Vector(1, true);
              this.m_vertices[0] = circle.m_p;
              this.m_count = 1;
              this.m_radius = circle.m_radius;
           }
           break;
        case b2Shape.e_polygonShape:
           {
              var polygon = (shape instanceof b2PolygonShape ? shape : null);
              this.m_vertices = polygon.m_vertices;
              this.m_count = polygon.m_vertexCount;
              this.m_radius = polygon.m_radius;
           }
           break;
        default:
           b2Settings.b2Assert(false);
        }
     }
     b2DistanceProxy.prototype.GetSupport = function (d) {
        var bestIndex = 0;
        var bestValue = this.m_vertices[0].x * d.x + this.m_vertices[0].y * d.y;
        for (var i = 1; i < this.m_count; ++i) {
           var value = this.m_vertices[i].x * d.x + this.m_vertices[i].y * d.y;
           if (value > bestValue) {
              bestIndex = i;
              bestValue = value;
           }
        }
        return bestIndex;
     }
     b2DistanceProxy.prototype.GetSupportVertex = function (d) {
        var bestIndex = 0;
        var bestValue = this.m_vertices[0].x * d.x + this.m_vertices[0].y * d.y;
        for (var i = 1; i < this.m_count; ++i) {
           var value = this.m_vertices[i].x * d.x + this.m_vertices[i].y * d.y;
           if (value > bestValue) {
              bestIndex = i;
              bestValue = value;
           }
        }
        return this.m_vertices[bestIndex];
     }
     b2DistanceProxy.prototype.GetVertexCount = function () {
        return this.m_count;
     }
     b2DistanceProxy.prototype.GetVertex = function (index) {
        if (index === undefined) index = 0;
        b2Settings.b2Assert(0 <= index && index < this.m_count);
        return this.m_vertices[index];
     }
     b2DynamicTree.b2DynamicTree = function () {};
     b2DynamicTree.prototype.b2DynamicTree = function () {
        this.m_root = null;
        this.m_freeList = null;
        this.m_path = 0;
        this.m_insertionCount = 0;
     }
     b2DynamicTree.prototype.CreateProxy = function (aabb, userData) {
        var node = this.AllocateNode();
        var extendX = b2Settings.b2_aabbExtension;
        var extendY = b2Settings.b2_aabbExtension;
        node.aabb.lowerBound.x = aabb.lowerBound.x - extendX;
        node.aabb.lowerBound.y = aabb.lowerBound.y - extendY;
        node.aabb.upperBound.x = aabb.upperBound.x + extendX;
        node.aabb.upperBound.y = aabb.upperBound.y + extendY;
        node.userData = userData;
        this.InsertLeaf(node);
        return node;
     }
     b2DynamicTree.prototype.DestroyProxy = function (proxy) {
        this.RemoveLeaf(proxy);
        this.FreeNode(proxy);
     }
     b2DynamicTree.prototype.MoveProxy = function (proxy, aabb, displacement) {
        b2Settings.b2Assert(proxy.IsLeaf());
        if (proxy.aabb.Contains(aabb)) {
           return false;
        }
        this.RemoveLeaf(proxy);
        var extendX = b2Settings.b2_aabbExtension + b2Settings.b2_aabbMultiplier * (displacement.x > 0 ? displacement.x : (-displacement.x));
        var extendY = b2Settings.b2_aabbExtension + b2Settings.b2_aabbMultiplier * (displacement.y > 0 ? displacement.y : (-displacement.y));
        proxy.aabb.lowerBound.x = aabb.lowerBound.x - extendX;
        proxy.aabb.lowerBound.y = aabb.lowerBound.y - extendY;
        proxy.aabb.upperBound.x = aabb.upperBound.x + extendX;
        proxy.aabb.upperBound.y = aabb.upperBound.y + extendY;
        this.InsertLeaf(proxy);
        return true;
     }
     b2DynamicTree.prototype.Rebalance = function (iterations) {
        if (iterations === undefined) iterations = 0;
        if (this.m_root == null) return;
        for (var i = 0; i < iterations; i++) {
           var node = this.m_root;
           var bit = 0;
           while (node.IsLeaf() == false) {
              node = (this.m_path >> bit) & 1 ? node.child2 : node.child1;
              bit = (bit + 1) & 31;
           }++this.m_path;
           this.RemoveLeaf(node);
           this.InsertLeaf(node);
        }
     }
     b2DynamicTree.prototype.GetFatAABB = function (proxy) {
        return proxy.aabb;
     }
     b2DynamicTree.prototype.GetUserData = function (proxy) {
        return proxy.userData;
     }
     b2DynamicTree.prototype.Query = function (callback, aabb) {
        if (this.m_root == null) return;
        var stack = new Vector();
        var count = 0;
        stack[count++] = this.m_root;
        while (count > 0) {
           var node = stack[--count];
           if (node.aabb.TestOverlap(aabb)) {
              if (node.IsLeaf()) {
                 var proceed = callback(node);
                 if (!proceed) return;
              }
              else {
                 stack[count++] = node.child1;
                 stack[count++] = node.child2;
              }
           }
        }
     }
     b2DynamicTree.prototype.RayCast = function (callback, input) {
        if (this.m_root == null) return;
        var p1 = input.p1;
        var p2 = input.p2;
        var r = b2Math.SubtractVV(p1, p2);
        r.Normalize();
        var v = b2Math.CrossFV(1.0, r);
        var abs_v = b2Math.AbsV(v);
        var maxFraction = input.maxFraction;
        var segmentAABB = new b2AABB();
        var tX = 0;
        var tY = 0; {
           tX = p1.x + maxFraction * (p2.x - p1.x);
           tY = p1.y + maxFraction * (p2.y - p1.y);
           segmentAABB.lowerBound.x = Math.min(p1.x, tX);
           segmentAABB.lowerBound.y = Math.min(p1.y, tY);
           segmentAABB.upperBound.x = Math.max(p1.x, tX);
           segmentAABB.upperBound.y = Math.max(p1.y, tY);
        }
        var stack = new Vector();
        var count = 0;
        stack[count++] = this.m_root;
        while (count > 0) {
           var node = stack[--count];
           if (node.aabb.TestOverlap(segmentAABB) == false) {
              continue;
           }
           var c = node.aabb.GetCenter();
           var h = node.aabb.GetExtents();
           var separation = Math.abs(v.x * (p1.x - c.x) + v.y * (p1.y - c.y)) - abs_v.x * h.x - abs_v.y * h.y;
           if (separation > 0.0) continue;
           if (node.IsLeaf()) {
              var subInput = new b2RayCastInput();
              subInput.p1 = input.p1;
              subInput.p2 = input.p2;
              subInput.maxFraction = input.maxFraction;
              maxFraction = callback(subInput, node);
              if (maxFraction == 0.0) return;
              if (maxFraction > 0.0) {
                 tX = p1.x + maxFraction * (p2.x - p1.x);
                 tY = p1.y + maxFraction * (p2.y - p1.y);
                 segmentAABB.lowerBound.x = Math.min(p1.x, tX);
                 segmentAABB.lowerBound.y = Math.min(p1.y, tY);
                 segmentAABB.upperBound.x = Math.max(p1.x, tX);
                 segmentAABB.upperBound.y = Math.max(p1.y, tY);
              }
           }
           else {
              stack[count++] = node.child1;
              stack[count++] = node.child2;
           }
        }
     }
     b2DynamicTree.prototype.AllocateNode = function () {
        if (this.m_freeList) {
           var node = this.m_freeList;
           this.m_freeList = node.parent;
           node.parent = null;
           node.child1 = null;
           node.child2 = null;
           return node;
        }
        return new b2DynamicTreeNode();
     }
     b2DynamicTree.prototype.FreeNode = function (node) {
        node.parent = this.m_freeList;
        this.m_freeList = node;
     }
     b2DynamicTree.prototype.InsertLeaf = function (leaf) {
        ++this.m_insertionCount;
        if (this.m_root == null) {
           this.m_root = leaf;
           this.m_root.parent = null;
           return;
        }
        var center = leaf.aabb.GetCenter();
        var sibling = this.m_root;
        if (sibling.IsLeaf() == false) {
           do {
              var child1 = sibling.child1;
              var child2 = sibling.child2;
              var norm1 = Math.abs((child1.aabb.lowerBound.x + child1.aabb.upperBound.x) / 2 - center.x) + Math.abs((child1.aabb.lowerBound.y + child1.aabb.upperBound.y) / 2 - center.y);
              var norm2 = Math.abs((child2.aabb.lowerBound.x + child2.aabb.upperBound.x) / 2 - center.x) + Math.abs((child2.aabb.lowerBound.y + child2.aabb.upperBound.y) / 2 - center.y);
              if (norm1 < norm2) {
                 sibling = child1;
              }
              else {
                 sibling = child2;
              }
           }
           while (sibling.IsLeaf() == false)
        }
        var node1 = sibling.parent;
        var node2 = this.AllocateNode();
        node2.parent = node1;
        node2.userData = null;
        node2.aabb.Combine(leaf.aabb, sibling.aabb);
        if (node1) {
           if (sibling.parent.child1 == sibling) {
              node1.child1 = node2;
           }
           else {
              node1.child2 = node2;
           }
           node2.child1 = sibling;
           node2.child2 = leaf;
           sibling.parent = node2;
           leaf.parent = node2;
           do {
              if (node1.aabb.Contains(node2.aabb)) break;
              node1.aabb.Combine(node1.child1.aabb, node1.child2.aabb);
              node2 = node1;
              node1 = node1.parent;
           }
           while (node1)
        }
        else {
           node2.child1 = sibling;
           node2.child2 = leaf;
           sibling.parent = node2;
           leaf.parent = node2;
           this.m_root = node2;
        }
     }
     b2DynamicTree.prototype.RemoveLeaf = function (leaf) {
        if (leaf == this.m_root) {
           this.m_root = null;
           return;
        }
        var node2 = leaf.parent;
        var node1 = node2.parent;
        var sibling;
        if (node2.child1 == leaf) {
           sibling = node2.child2;
        }
        else {
           sibling = node2.child1;
        }
        if (node1) {
           if (node1.child1 == node2) {
              node1.child1 = sibling;
           }
           else {
              node1.child2 = sibling;
           }
           sibling.parent = node1;
           this.FreeNode(node2);
           while (node1) {
              var oldAABB = node1.aabb;
              node1.aabb = b2AABB.Combine(node1.child1.aabb, node1.child2.aabb);
              if (oldAABB.Contains(node1.aabb)) break;
              node1 = node1.parent;
           }
        }
        else {
           this.m_root = sibling;
           sibling.parent = null;
           this.FreeNode(node2);
        }
     }
     b2DynamicTreeBroadPhase.b2DynamicTreeBroadPhase = function () {
        this.m_tree = new b2DynamicTree();
        this.m_moveBuffer = new Vector();
        this.m_pairBuffer = new Vector();
        this.m_pairCount = 0;
     };
     b2DynamicTreeBroadPhase.prototype.CreateProxy = function (aabb, userData) {
        var proxy = this.m_tree.CreateProxy(aabb, userData);
        ++this.m_proxyCount;
        this.BufferMove(proxy);
        return proxy;
     }
     b2DynamicTreeBroadPhase.prototype.DestroyProxy = function (proxy) {
        this.UnBufferMove(proxy);
        --this.m_proxyCount;
        this.m_tree.DestroyProxy(proxy);
     }
     b2DynamicTreeBroadPhase.prototype.MoveProxy = function (proxy, aabb, displacement) {
        var buffer = this.m_tree.MoveProxy(proxy, aabb, displacement);
        if (buffer) {
           this.BufferMove(proxy);
        }
     }
     b2DynamicTreeBroadPhase.prototype.TestOverlap = function (proxyA, proxyB) {
        var aabbA = this.m_tree.GetFatAABB(proxyA);
        var aabbB = this.m_tree.GetFatAABB(proxyB);
        return aabbA.TestOverlap(aabbB);
     }
     b2DynamicTreeBroadPhase.prototype.GetUserData = function (proxy) {
        return this.m_tree.GetUserData(proxy);
     }
     b2DynamicTreeBroadPhase.prototype.GetFatAABB = function (proxy) {
        return this.m_tree.GetFatAABB(proxy);
     }
     b2DynamicTreeBroadPhase.prototype.GetProxyCount = function () {
        return this.m_proxyCount;
     }
     b2DynamicTreeBroadPhase.prototype.UpdatePairs = function (callback) {
        var __this = this;
        __this.m_pairCount = 0;
        var i = 0,
           queryProxy;
        for (i = 0;
        i < __this.m_moveBuffer.length; ++i) {
           queryProxy = __this.m_moveBuffer[i];
  
           function QueryCallback(proxy) {
              if (proxy == queryProxy) return true;
              if (__this.m_pairCount == __this.m_pairBuffer.length) {
                 __this.m_pairBuffer[__this.m_pairCount] = new b2DynamicTreePair();
              }
              var pair = __this.m_pairBuffer[__this.m_pairCount];
              pair.proxyA = proxy < queryProxy ? proxy : queryProxy;
              pair.proxyB = proxy >= queryProxy ? proxy : queryProxy;++__this.m_pairCount;
              return true;
           };
           var fatAABB = __this.m_tree.GetFatAABB(queryProxy);
           __this.m_tree.Query(QueryCallback, fatAABB);
        }
        __this.m_moveBuffer.length = 0;
        for (var i = 0; i < __this.m_pairCount;) {
           var primaryPair = __this.m_pairBuffer[i];
           var userDataA = __this.m_tree.GetUserData(primaryPair.proxyA);
           var userDataB = __this.m_tree.GetUserData(primaryPair.proxyB);
           callback(userDataA, userDataB);
           ++i;
           while (i < __this.m_pairCount) {
              var pair = __this.m_pairBuffer[i];
              if (pair.proxyA != primaryPair.proxyA || pair.proxyB != primaryPair.proxyB) {
                 break;
              }++i;
           }
        }
     }
     b2DynamicTreeBroadPhase.prototype.Query = function (callback, aabb) {
        this.m_tree.Query(callback, aabb);
     }
     b2DynamicTreeBroadPhase.prototype.RayCast = function (callback, input) {
        this.m_tree.RayCast(callback, input);
     }
     b2DynamicTreeBroadPhase.prototype.Validate = function () {}
     b2DynamicTreeBroadPhase.prototype.Rebalance = function (iterations) {
        if (iterations === undefined) iterations = 0;
        this.m_tree.Rebalance(iterations);
     }
     b2DynamicTreeBroadPhase.prototype.BufferMove = function (proxy) {
        this.m_moveBuffer[this.m_moveBuffer.length] = proxy;
     }
     b2DynamicTreeBroadPhase.prototype.UnBufferMove = function (proxy) {
        var i = parseInt(this.m_moveBuffer.indexOf(proxy));
        this.m_moveBuffer.splice(i, 1);
     }
     b2DynamicTreeBroadPhase.prototype.ComparePairs = function (pair1, pair2) {
        return 0;
     }
     b2DynamicTreeBroadPhase.__implements = {};
     b2DynamicTreeBroadPhase.__implements[IBroadPhase] = true;
     b2DynamicTreeNode.b2DynamicTreeNode = function () {
        this.aabb = new b2AABB();
     };
     b2DynamicTreeNode.prototype.IsLeaf = function () {
        return this.child1 == null;
     }
     b2DynamicTreePair.b2DynamicTreePair = function () {};
     b2Manifold.b2Manifold = function () {
        this.m_pointCount = 0;
     };
     b2Manifold.prototype.b2Manifold = function () {
        this.m_points = new Vector(b2Settings.b2_maxManifoldPoints);
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           this.m_points[i] = new b2ManifoldPoint();
        }
        this.m_localPlaneNormal = new b2Vec2();
        this.m_localPoint = new b2Vec2();
     }
     b2Manifold.prototype.Reset = function () {
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           ((this.m_points[i] instanceof b2ManifoldPoint ? this.m_points[i] : null)).Reset();
        }
        this.m_localPlaneNormal.SetZero();
        this.m_localPoint.SetZero();
        this.m_type = 0;
        this.m_pointCount = 0;
     }
     b2Manifold.prototype.Set = function (m) {
        this.m_pointCount = m.m_pointCount;
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           ((this.m_points[i] instanceof b2ManifoldPoint ? this.m_points[i] : null)).Set(m.m_points[i]);
        }
        this.m_localPlaneNormal.SetV(m.m_localPlaneNormal);
        this.m_localPoint.SetV(m.m_localPoint);
        this.m_type = m.m_type;
     }
     b2Manifold.prototype.Copy = function () {
        var copy = new b2Manifold();
        copy.Set(this);
        return copy;
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.b2Manifold.e_circles = 0x0001;
        Box2D.Collision.b2Manifold.e_faceA = 0x0002;
        Box2D.Collision.b2Manifold.e_faceB = 0x0004;
     });
     b2ManifoldPoint.b2ManifoldPoint = function () {
        this.m_localPoint = new b2Vec2();
        this.m_id = new b2ContactID();
     };
     b2ManifoldPoint.prototype.b2ManifoldPoint = function () {
        this.Reset();
     }
     b2ManifoldPoint.prototype.Reset = function () {
        this.m_localPoint.SetZero();
        this.m_normalImpulse = 0.0;
        this.m_tangentImpulse = 0.0;
        this.m_id.key = 0;
     }
     b2ManifoldPoint.prototype.Set = function (m) {
        this.m_localPoint.SetV(m.m_localPoint);
        this.m_normalImpulse = m.m_normalImpulse;
        this.m_tangentImpulse = m.m_tangentImpulse;
        this.m_id.Set(m.m_id);
     }
     b2Point.b2Point = function () {
        this.p = new b2Vec2();
     };
     b2Point.prototype.Support = function (xf, vX, vY) {
        if (vX === undefined) vX = 0;
        if (vY === undefined) vY = 0;
        return this.p;
     }
     b2Point.prototype.GetFirstVertex = function (xf) {
        return this.p;
     }
     b2RayCastInput.b2RayCastInput = function () {
        this.p1 = new b2Vec2();
        this.p2 = new b2Vec2();
     };
     b2RayCastInput.prototype.b2RayCastInput = function (p1, p2, maxFraction) {
        if (p1 === undefined) p1 = null;
        if (p2 === undefined) p2 = null;
        if (maxFraction === undefined) maxFraction = 1;
        if (p1) this.p1.SetV(p1);
        if (p2) this.p2.SetV(p2);
        this.maxFraction = maxFraction;
     }
     b2RayCastOutput.b2RayCastOutput = function () {
        this.normal = new b2Vec2();
     };
     b2Segment.b2Segment = function () {
        this.p1 = new b2Vec2();
        this.p2 = new b2Vec2();
     };
     b2Segment.prototype.TestSegment = function (lambda, normal, segment, maxLambda) {
        if (maxLambda === undefined) maxLambda = 0;
        var s = segment.p1;
        var rX = segment.p2.x - s.x;
        var rY = segment.p2.y - s.y;
        var dX = this.p2.x - this.p1.x;
        var dY = this.p2.y - this.p1.y;
        var nX = dY;
        var nY = (-dX);
        var k_slop = 100.0 * Number.MIN_VALUE;
        var denom = (-(rX * nX + rY * nY));
        if (denom > k_slop) {
           var bX = s.x - this.p1.x;
           var bY = s.y - this.p1.y;
           var a = (bX * nX + bY * nY);
           if (0.0 <= a && a <= maxLambda * denom) {
              var mu2 = (-rX * bY) + rY * bX;
              if ((-k_slop * denom) <= mu2 && mu2 <= denom * (1.0 + k_slop)) {
                 a /= denom;
                 var nLen = Math.sqrt(nX * nX + nY * nY);
                 nX /= nLen;
                 nY /= nLen;
                 lambda[0] = a;
                 normal.Set(nX, nY);
                 return true;
              }
           }
        }
        return false;
     }
     b2Segment.prototype.Extend = function (aabb) {
        this.ExtendForward(aabb);
        this.ExtendBackward(aabb);
     }
     b2Segment.prototype.ExtendForward = function (aabb) {
        var dX = this.p2.x - this.p1.x;
        var dY = this.p2.y - this.p1.y;
        var lambda = Math.min(dX > 0 ? (aabb.upperBound.x - this.p1.x) / dX : dX < 0 ? (aabb.lowerBound.x - this.p1.x) / dX : Number.POSITIVE_INFINITY,
        dY > 0 ? (aabb.upperBound.y - this.p1.y) / dY : dY < 0 ? (aabb.lowerBound.y - this.p1.y) / dY : Number.POSITIVE_INFINITY);
        this.p2.x = this.p1.x + dX * lambda;
        this.p2.y = this.p1.y + dY * lambda;
     }
     b2Segment.prototype.ExtendBackward = function (aabb) {
        var dX = (-this.p2.x) + this.p1.x;
        var dY = (-this.p2.y) + this.p1.y;
        var lambda = Math.min(dX > 0 ? (aabb.upperBound.x - this.p2.x) / dX : dX < 0 ? (aabb.lowerBound.x - this.p2.x) / dX : Number.POSITIVE_INFINITY,
        dY > 0 ? (aabb.upperBound.y - this.p2.y) / dY : dY < 0 ? (aabb.lowerBound.y - this.p2.y) / dY : Number.POSITIVE_INFINITY);
        this.p1.x = this.p2.x + dX * lambda;
        this.p1.y = this.p2.y + dY * lambda;
     }
     b2SeparationFunction.b2SeparationFunction = function () {
        this.m_localPoint = new b2Vec2();
        this.m_axis = new b2Vec2();
     };
     b2SeparationFunction.prototype.Initialize = function (cache, proxyA, transformA, proxyB, transformB) {
        this.m_proxyA = proxyA;
        this.m_proxyB = proxyB;
        var count = parseInt(cache.count);
        b2Settings.b2Assert(0 < count && count < 3);
        var localPointA;
        var localPointA1;
        var localPointA2;
        var localPointB;
        var localPointB1;
        var localPointB2;
        var pointAX = 0;
        var pointAY = 0;
        var pointBX = 0;
        var pointBY = 0;
        var normalX = 0;
        var normalY = 0;
        var tMat;
        var tVec;
        var s = 0;
        var sgn = 0;
        if (count == 1) {
           this.m_type = b2SeparationFunction.e_points;
           localPointA = this.m_proxyA.GetVertex(cache.indexA[0]);
           localPointB = this.m_proxyB.GetVertex(cache.indexB[0]);
           tVec = localPointA;
           tMat = transformA.R;
           pointAX = transformA.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointAY = transformA.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           tVec = localPointB;
           tMat = transformB.R;
           pointBX = transformB.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointBY = transformB.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           this.m_axis.x = pointBX - pointAX;
           this.m_axis.y = pointBY - pointAY;
           this.m_axis.Normalize();
        }
        else if (cache.indexB[0] == cache.indexB[1]) {
           this.m_type = b2SeparationFunction.e_faceA;
           localPointA1 = this.m_proxyA.GetVertex(cache.indexA[0]);
           localPointA2 = this.m_proxyA.GetVertex(cache.indexA[1]);
           localPointB = this.m_proxyB.GetVertex(cache.indexB[0]);
           this.m_localPoint.x = 0.5 * (localPointA1.x + localPointA2.x);
           this.m_localPoint.y = 0.5 * (localPointA1.y + localPointA2.y);
           this.m_axis = b2Math.CrossVF(b2Math.SubtractVV(localPointA2, localPointA1), 1.0);
           this.m_axis.Normalize();
           tVec = this.m_axis;
           tMat = transformA.R;
           normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
           normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
           tVec = this.m_localPoint;
           tMat = transformA.R;
           pointAX = transformA.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointAY = transformA.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           tVec = localPointB;
           tMat = transformB.R;
           pointBX = transformB.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointBY = transformB.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           s = (pointBX - pointAX) * normalX + (pointBY - pointAY) * normalY;
           if (s < 0.0) {
              this.m_axis.NegativeSelf();
           }
        }
        else if (cache.indexA[0] == cache.indexA[0]) {
           this.m_type = b2SeparationFunction.e_faceB;
           localPointB1 = this.m_proxyB.GetVertex(cache.indexB[0]);
           localPointB2 = this.m_proxyB.GetVertex(cache.indexB[1]);
           localPointA = this.m_proxyA.GetVertex(cache.indexA[0]);
           this.m_localPoint.x = 0.5 * (localPointB1.x + localPointB2.x);
           this.m_localPoint.y = 0.5 * (localPointB1.y + localPointB2.y);
           this.m_axis = b2Math.CrossVF(b2Math.SubtractVV(localPointB2, localPointB1), 1.0);
           this.m_axis.Normalize();
           tVec = this.m_axis;
           tMat = transformB.R;
           normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
           normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
           tVec = this.m_localPoint;
           tMat = transformB.R;
           pointBX = transformB.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointBY = transformB.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           tVec = localPointA;
           tMat = transformA.R;
           pointAX = transformA.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           pointAY = transformA.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           s = (pointAX - pointBX) * normalX + (pointAY - pointBY) * normalY;
           if (s < 0.0) {
              this.m_axis.NegativeSelf();
           }
        }
        else {
           localPointA1 = this.m_proxyA.GetVertex(cache.indexA[0]);
           localPointA2 = this.m_proxyA.GetVertex(cache.indexA[1]);
           localPointB1 = this.m_proxyB.GetVertex(cache.indexB[0]);
           localPointB2 = this.m_proxyB.GetVertex(cache.indexB[1]);
           var pA = b2Math.MulX(transformA, localPointA);
           var dA = b2Math.MulMV(transformA.R, b2Math.SubtractVV(localPointA2, localPointA1));
           var pB = b2Math.MulX(transformB, localPointB);
           var dB = b2Math.MulMV(transformB.R, b2Math.SubtractVV(localPointB2, localPointB1));
           var a = dA.x * dA.x + dA.y * dA.y;
           var e = dB.x * dB.x + dB.y * dB.y;
           var r = b2Math.SubtractVV(dB, dA);
           var c = dA.x * r.x + dA.y * r.y;
           var f = dB.x * r.x + dB.y * r.y;
           var b = dA.x * dB.x + dA.y * dB.y;
           var denom = a * e - b * b;
           s = 0.0;
           if (denom != 0.0) {
              s = b2Math.Clamp((b * f - c * e) / denom, 0.0, 1.0);
           }
           var t = (b * s + f) / e;
           if (t < 0.0) {
              t = 0.0;
              s = b2Math.Clamp((b - c) / a, 0.0, 1.0);
           }
           localPointA = new b2Vec2();
           localPointA.x = localPointA1.x + s * (localPointA2.x - localPointA1.x);
           localPointA.y = localPointA1.y + s * (localPointA2.y - localPointA1.y);
           localPointB = new b2Vec2();
           localPointB.x = localPointB1.x + s * (localPointB2.x - localPointB1.x);
           localPointB.y = localPointB1.y + s * (localPointB2.y - localPointB1.y);
           if (s == 0.0 || s == 1.0) {
              this.m_type = b2SeparationFunction.e_faceB;
              this.m_axis = b2Math.CrossVF(b2Math.SubtractVV(localPointB2, localPointB1), 1.0);
              this.m_axis.Normalize();
              this.m_localPoint = localPointB;
              tVec = this.m_axis;
              tMat = transformB.R;
              normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tVec = this.m_localPoint;
              tMat = transformB.R;
              pointBX = transformB.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              pointBY = transformB.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              tVec = localPointA;
              tMat = transformA.R;
              pointAX = transformA.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              pointAY = transformA.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              sgn = (pointAX - pointBX) * normalX + (pointAY - pointBY) * normalY;
              if (s < 0.0) {
                 this.m_axis.NegativeSelf();
              }
           }
           else {
              this.m_type = b2SeparationFunction.e_faceA;
              this.m_axis = b2Math.CrossVF(b2Math.SubtractVV(localPointA2, localPointA1), 1.0);
              this.m_localPoint = localPointA;
              tVec = this.m_axis;
              tMat = transformA.R;
              normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tVec = this.m_localPoint;
              tMat = transformA.R;
              pointAX = transformA.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              pointAY = transformA.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              tVec = localPointB;
              tMat = transformB.R;
              pointBX = transformB.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              pointBY = transformB.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              sgn = (pointBX - pointAX) * normalX + (pointBY - pointAY) * normalY;
              if (s < 0.0) {
                 this.m_axis.NegativeSelf();
              }
           }
        }
     }
     b2SeparationFunction.prototype.Evaluate = function (transformA, transformB) {
        var axisA;
        var axisB;
        var localPointA;
        var localPointB;
        var pointA;
        var pointB;
        var seperation = 0;
        var normal;
        switch (this.m_type) {
        case b2SeparationFunction.e_points:
           {
              axisA = b2Math.MulTMV(transformA.R, this.m_axis);
              axisB = b2Math.MulTMV(transformB.R, this.m_axis.GetNegative());
              localPointA = this.m_proxyA.GetSupportVertex(axisA);
              localPointB = this.m_proxyB.GetSupportVertex(axisB);
              pointA = b2Math.MulX(transformA, localPointA);
              pointB = b2Math.MulX(transformB, localPointB);
              seperation = (pointB.x - pointA.x) * this.m_axis.x + (pointB.y - pointA.y) * this.m_axis.y;
              return seperation;
           }
        case b2SeparationFunction.e_faceA:
           {
              normal = b2Math.MulMV(transformA.R, this.m_axis);
              pointA = b2Math.MulX(transformA, this.m_localPoint);
              axisB = b2Math.MulTMV(transformB.R, normal.GetNegative());
              localPointB = this.m_proxyB.GetSupportVertex(axisB);
              pointB = b2Math.MulX(transformB, localPointB);
              seperation = (pointB.x - pointA.x) * normal.x + (pointB.y - pointA.y) * normal.y;
              return seperation;
           }
        case b2SeparationFunction.e_faceB:
           {
              normal = b2Math.MulMV(transformB.R, this.m_axis);
              pointB = b2Math.MulX(transformB, this.m_localPoint);
              axisA = b2Math.MulTMV(transformA.R, normal.GetNegative());
              localPointA = this.m_proxyA.GetSupportVertex(axisA);
              pointA = b2Math.MulX(transformA, localPointA);
              seperation = (pointA.x - pointB.x) * normal.x + (pointA.y - pointB.y) * normal.y;
              return seperation;
           }
        default:
           b2Settings.b2Assert(false);
           return 0.0;
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.b2SeparationFunction.e_points = 0x01;
        Box2D.Collision.b2SeparationFunction.e_faceA = 0x02;
        Box2D.Collision.b2SeparationFunction.e_faceB = 0x04;
     });
     b2Simplex.b2Simplex = function () {
        this.m_v1 = new b2SimplexVertex();
        this.m_v2 = new b2SimplexVertex();
        this.m_v3 = new b2SimplexVertex();
        this.m_vertices = new Vector(3);
     };
     b2Simplex.prototype.b2Simplex = function () {
        this.m_vertices[0] = this.m_v1;
        this.m_vertices[1] = this.m_v2;
        this.m_vertices[2] = this.m_v3;
     }
     b2Simplex.prototype.ReadCache = function (cache, proxyA, transformA, proxyB, transformB) {
        b2Settings.b2Assert(0 <= cache.count && cache.count <= 3);
        var wALocal;
        var wBLocal;
        this.m_count = cache.count;
        var vertices = this.m_vertices;
        for (var i = 0; i < this.m_count; i++) {
           var v = vertices[i];
           v.indexA = cache.indexA[i];
           v.indexB = cache.indexB[i];
           wALocal = proxyA.GetVertex(v.indexA);
           wBLocal = proxyB.GetVertex(v.indexB);
           v.wA = b2Math.MulX(transformA, wALocal);
           v.wB = b2Math.MulX(transformB, wBLocal);
           v.w = b2Math.SubtractVV(v.wB, v.wA);
           v.a = 0;
        }
        if (this.m_count > 1) {
           var metric1 = cache.metric;
           var metric2 = this.GetMetric();
           if (metric2 < .5 * metric1 || 2.0 * metric1 < metric2 || metric2 < Number.MIN_VALUE) {
              this.m_count = 0;
           }
        }
        if (this.m_count == 0) {
           v = vertices[0];
           v.indexA = 0;
           v.indexB = 0;
           wALocal = proxyA.GetVertex(0);
           wBLocal = proxyB.GetVertex(0);
           v.wA = b2Math.MulX(transformA, wALocal);
           v.wB = b2Math.MulX(transformB, wBLocal);
           v.w = b2Math.SubtractVV(v.wB, v.wA);
           this.m_count = 1;
        }
     }
     b2Simplex.prototype.WriteCache = function (cache) {
        cache.metric = this.GetMetric();
        cache.count = Box2D.parseUInt(this.m_count);
        var vertices = this.m_vertices;
        for (var i = 0; i < this.m_count; i++) {
           cache.indexA[i] = Box2D.parseUInt(vertices[i].indexA);
           cache.indexB[i] = Box2D.parseUInt(vertices[i].indexB);
        }
     }
     b2Simplex.prototype.GetSearchDirection = function () {
        switch (this.m_count) {
        case 1:
           return this.m_v1.w.GetNegative();
        case 2:
           {
              var e12 = b2Math.SubtractVV(this.m_v2.w, this.m_v1.w);
              var sgn = b2Math.CrossVV(e12, this.m_v1.w.GetNegative());
              if (sgn > 0.0) {
                 return b2Math.CrossFV(1.0, e12);
              }
              else {
                 return b2Math.CrossVF(e12, 1.0);
              }
           }
        default:
           b2Settings.b2Assert(false);
           return new b2Vec2();
        }
     }
     b2Simplex.prototype.GetClosestPoint = function () {
        switch (this.m_count) {
        case 0:
           b2Settings.b2Assert(false);
           return new b2Vec2();
        case 1:
           return this.m_v1.w;
        case 2:
           return new b2Vec2(this.m_v1.a * this.m_v1.w.x + this.m_v2.a * this.m_v2.w.x, this.m_v1.a * this.m_v1.w.y + this.m_v2.a * this.m_v2.w.y);
        default:
           b2Settings.b2Assert(false);
           return new b2Vec2();
        }
     }
     b2Simplex.prototype.GetWitnessPoints = function (pA, pB) {
        switch (this.m_count) {
        case 0:
           b2Settings.b2Assert(false);
           break;
        case 1:
           pA.SetV(this.m_v1.wA);
           pB.SetV(this.m_v1.wB);
           break;
        case 2:
           pA.x = this.m_v1.a * this.m_v1.wA.x + this.m_v2.a * this.m_v2.wA.x;
           pA.y = this.m_v1.a * this.m_v1.wA.y + this.m_v2.a * this.m_v2.wA.y;
           pB.x = this.m_v1.a * this.m_v1.wB.x + this.m_v2.a * this.m_v2.wB.x;
           pB.y = this.m_v1.a * this.m_v1.wB.y + this.m_v2.a * this.m_v2.wB.y;
           break;
        case 3:
           pB.x = pA.x = this.m_v1.a * this.m_v1.wA.x + this.m_v2.a * this.m_v2.wA.x + this.m_v3.a * this.m_v3.wA.x;
           pB.y = pA.y = this.m_v1.a * this.m_v1.wA.y + this.m_v2.a * this.m_v2.wA.y + this.m_v3.a * this.m_v3.wA.y;
           break;
        default:
           b2Settings.b2Assert(false);
           break;
        }
     }
     b2Simplex.prototype.GetMetric = function () {
        switch (this.m_count) {
        case 0:
           b2Settings.b2Assert(false);
           return 0.0;
        case 1:
           return 0.0;
        case 2:
           return b2Math.SubtractVV(this.m_v1.w, this.m_v2.w).Length();
        case 3:
           return b2Math.CrossVV(b2Math.SubtractVV(this.m_v2.w, this.m_v1.w), b2Math.SubtractVV(this.m_v3.w, this.m_v1.w));
        default:
           b2Settings.b2Assert(false);
           return 0.0;
        }
     }
     b2Simplex.prototype.Solve2 = function () {
        var w1 = this.m_v1.w;
        var w2 = this.m_v2.w;
        var e12 = b2Math.SubtractVV(w2, w1);
        var d12_2 = (-(w1.x * e12.x + w1.y * e12.y));
        if (d12_2 <= 0.0) {
           this.m_v1.a = 1.0;
           this.m_count = 1;
           return;
        }
        var d12_1 = (w2.x * e12.x + w2.y * e12.y);
        if (d12_1 <= 0.0) {
           this.m_v2.a = 1.0;
           this.m_count = 1;
           this.m_v1.Set(this.m_v2);
           return;
        }
        var inv_d12 = 1.0 / (d12_1 + d12_2);
        this.m_v1.a = d12_1 * inv_d12;
        this.m_v2.a = d12_2 * inv_d12;
        this.m_count = 2;
     }
     b2Simplex.prototype.Solve3 = function () {
        var w1 = this.m_v1.w;
        var w2 = this.m_v2.w;
        var w3 = this.m_v3.w;
        var e12 = b2Math.SubtractVV(w2, w1);
        var w1e12 = b2Math.Dot(w1, e12);
        var w2e12 = b2Math.Dot(w2, e12);
        var d12_1 = w2e12;
        var d12_2 = (-w1e12);
        var e13 = b2Math.SubtractVV(w3, w1);
        var w1e13 = b2Math.Dot(w1, e13);
        var w3e13 = b2Math.Dot(w3, e13);
        var d13_1 = w3e13;
        var d13_2 = (-w1e13);
        var e23 = b2Math.SubtractVV(w3, w2);
        var w2e23 = b2Math.Dot(w2, e23);
        var w3e23 = b2Math.Dot(w3, e23);
        var d23_1 = w3e23;
        var d23_2 = (-w2e23);
        var n123 = b2Math.CrossVV(e12, e13);
        var d123_1 = n123 * b2Math.CrossVV(w2, w3);
        var d123_2 = n123 * b2Math.CrossVV(w3, w1);
        var d123_3 = n123 * b2Math.CrossVV(w1, w2);
        if (d12_2 <= 0.0 && d13_2 <= 0.0) {
           this.m_v1.a = 1.0;
           this.m_count = 1;
           return;
        }
        if (d12_1 > 0.0 && d12_2 > 0.0 && d123_3 <= 0.0) {
           var inv_d12 = 1.0 / (d12_1 + d12_2);
           this.m_v1.a = d12_1 * inv_d12;
           this.m_v2.a = d12_2 * inv_d12;
           this.m_count = 2;
           return;
        }
        if (d13_1 > 0.0 && d13_2 > 0.0 && d123_2 <= 0.0) {
           var inv_d13 = 1.0 / (d13_1 + d13_2);
           this.m_v1.a = d13_1 * inv_d13;
           this.m_v3.a = d13_2 * inv_d13;
           this.m_count = 2;
           this.m_v2.Set(this.m_v3);
           return;
        }
        if (d12_1 <= 0.0 && d23_2 <= 0.0) {
           this.m_v2.a = 1.0;
           this.m_count = 1;
           this.m_v1.Set(this.m_v2);
           return;
        }
        if (d13_1 <= 0.0 && d23_1 <= 0.0) {
           this.m_v3.a = 1.0;
           this.m_count = 1;
           this.m_v1.Set(this.m_v3);
           return;
        }
        if (d23_1 > 0.0 && d23_2 > 0.0 && d123_1 <= 0.0) {
           var inv_d23 = 1.0 / (d23_1 + d23_2);
           this.m_v2.a = d23_1 * inv_d23;
           this.m_v3.a = d23_2 * inv_d23;
           this.m_count = 2;
           this.m_v1.Set(this.m_v3);
           return;
        }
        var inv_d123 = 1.0 / (d123_1 + d123_2 + d123_3);
        this.m_v1.a = d123_1 * inv_d123;
        this.m_v2.a = d123_2 * inv_d123;
        this.m_v3.a = d123_3 * inv_d123;
        this.m_count = 3;
     }
     b2SimplexCache.b2SimplexCache = function () {
        this.indexA = new Vector_a2j_Number(3);
        this.indexB = new Vector_a2j_Number(3);
     };
     b2SimplexVertex.b2SimplexVertex = function () {};
     b2SimplexVertex.prototype.Set = function (other) {
        this.wA.SetV(other.wA);
        this.wB.SetV(other.wB);
        this.w.SetV(other.w);
        this.a = other.a;
        this.indexA = other.indexA;
        this.indexB = other.indexB;
     }
     b2TimeOfImpact.b2TimeOfImpact = function () {};
     b2TimeOfImpact.TimeOfImpact = function (input) {
        ++b2TimeOfImpact.b2_toiCalls;
        var proxyA = input.proxyA;
        var proxyB = input.proxyB;
        var sweepA = input.sweepA;
        var sweepB = input.sweepB;
        b2Settings.b2Assert(sweepA.t0 == sweepB.t0);
        b2Settings.b2Assert(1.0 - sweepA.t0 > Number.MIN_VALUE);
        var radius = proxyA.m_radius + proxyB.m_radius;
        var tolerance = input.tolerance;
        var alpha = 0.0;
        var k_maxIterations = 1000;
        var iter = 0;
        var target = 0.0;
        b2TimeOfImpact.s_cache.count = 0;
        b2TimeOfImpact.s_distanceInput.useRadii = false;
        for (;;) {
           sweepA.GetTransform(b2TimeOfImpact.s_xfA, alpha);
           sweepB.GetTransform(b2TimeOfImpact.s_xfB, alpha);
           b2TimeOfImpact.s_distanceInput.proxyA = proxyA;
           b2TimeOfImpact.s_distanceInput.proxyB = proxyB;
           b2TimeOfImpact.s_distanceInput.transformA = b2TimeOfImpact.s_xfA;
           b2TimeOfImpact.s_distanceInput.transformB = b2TimeOfImpact.s_xfB;
           b2Distance.Distance(b2TimeOfImpact.s_distanceOutput, b2TimeOfImpact.s_cache, b2TimeOfImpact.s_distanceInput);
           if (b2TimeOfImpact.s_distanceOutput.distance <= 0.0) {
              alpha = 1.0;
              break;
           }
           b2TimeOfImpact.s_fcn.Initialize(b2TimeOfImpact.s_cache, proxyA, b2TimeOfImpact.s_xfA, proxyB, b2TimeOfImpact.s_xfB);
           var separation = b2TimeOfImpact.s_fcn.Evaluate(b2TimeOfImpact.s_xfA, b2TimeOfImpact.s_xfB);
           if (separation <= 0.0) {
              alpha = 1.0;
              break;
           }
           if (iter == 0) {
              if (separation > radius) {
                 target = b2Math.Max(radius - tolerance, 0.75 * radius);
              }
              else {
                 target = b2Math.Max(separation - tolerance, 0.02 * radius);
              }
           }
           if (separation - target < 0.5 * tolerance) {
              if (iter == 0) {
                 alpha = 1.0;
                 break;
              }
              break;
           }
           var newAlpha = alpha; {
              var x1 = alpha;
              var x2 = 1.0;
              var f1 = separation;
              sweepA.GetTransform(b2TimeOfImpact.s_xfA, x2);
              sweepB.GetTransform(b2TimeOfImpact.s_xfB, x2);
              var f2 = b2TimeOfImpact.s_fcn.Evaluate(b2TimeOfImpact.s_xfA, b2TimeOfImpact.s_xfB);
              if (f2 >= target) {
                 alpha = 1.0;
                 break;
              }
              var rootIterCount = 0;
              for (;;) {
                 var x = 0;
                 if (rootIterCount & 1) {
                    x = x1 + (target - f1) * (x2 - x1) / (f2 - f1);
                 }
                 else {
                    x = 0.5 * (x1 + x2);
                 }
                 sweepA.GetTransform(b2TimeOfImpact.s_xfA, x);
                 sweepB.GetTransform(b2TimeOfImpact.s_xfB, x);
                 var f = b2TimeOfImpact.s_fcn.Evaluate(b2TimeOfImpact.s_xfA, b2TimeOfImpact.s_xfB);
                 if (b2Math.Abs(f - target) < 0.025 * tolerance) {
                    newAlpha = x;
                    break;
                 }
                 if (f > target) {
                    x1 = x;
                    f1 = f;
                 }
                 else {
                    x2 = x;
                    f2 = f;
                 }++rootIterCount;
                 ++b2TimeOfImpact.b2_toiRootIters;
                 if (rootIterCount == 50) {
                    break;
                 }
              }
              b2TimeOfImpact.b2_toiMaxRootIters = b2Math.Max(b2TimeOfImpact.b2_toiMaxRootIters, rootIterCount);
           }
           if (newAlpha < (1.0 + 100.0 * Number.MIN_VALUE) * alpha) {
              break;
           }
           alpha = newAlpha;
           iter++;
           ++b2TimeOfImpact.b2_toiIters;
           if (iter == k_maxIterations) {
              break;
           }
        }
        b2TimeOfImpact.b2_toiMaxIters = b2Math.Max(b2TimeOfImpact.b2_toiMaxIters, iter);
        return alpha;
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.b2TimeOfImpact.b2_toiCalls = 0;
        Box2D.Collision.b2TimeOfImpact.b2_toiIters = 0;
        Box2D.Collision.b2TimeOfImpact.b2_toiMaxIters = 0;
        Box2D.Collision.b2TimeOfImpact.b2_toiRootIters = 0;
        Box2D.Collision.b2TimeOfImpact.b2_toiMaxRootIters = 0;
        Box2D.Collision.b2TimeOfImpact.s_cache = new b2SimplexCache();
        Box2D.Collision.b2TimeOfImpact.s_distanceInput = new b2DistanceInput();
        Box2D.Collision.b2TimeOfImpact.s_xfA = new b2Transform();
        Box2D.Collision.b2TimeOfImpact.s_xfB = new b2Transform();
        Box2D.Collision.b2TimeOfImpact.s_fcn = new b2SeparationFunction();
        Box2D.Collision.b2TimeOfImpact.s_distanceOutput = new b2DistanceOutput();
     });
     b2TOIInput.b2TOIInput = function () {
        this.proxyA = new b2DistanceProxy();
        this.proxyB = new b2DistanceProxy();
        this.sweepA = new b2Sweep();
        this.sweepB = new b2Sweep();
     };
     b2WorldManifold.b2WorldManifold = function () {
        this.m_normal = new b2Vec2();
     };
     b2WorldManifold.prototype.b2WorldManifold = function () {
        this.m_points = new Vector(b2Settings.b2_maxManifoldPoints);
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           this.m_points[i] = new b2Vec2();
        }
     }
     b2WorldManifold.prototype.Initialize = function (manifold, xfA, radiusA, xfB, radiusB) {
        if (radiusA === undefined) radiusA = 0;
        if (radiusB === undefined) radiusB = 0;
        if (manifold.m_pointCount == 0) {
           return;
        }
        var i = 0;
        var tVec;
        var tMat;
        var normalX = 0;
        var normalY = 0;
        var planePointX = 0;
        var planePointY = 0;
        var clipPointX = 0;
        var clipPointY = 0;
        switch (manifold.m_type) {
        case b2Manifold.e_circles:
           {
              tMat = xfA.R;
              tVec = manifold.m_localPoint;
              var pointAX = xfA.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              var pointAY = xfA.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tMat = xfB.R;
              tVec = manifold.m_points[0].m_localPoint;
              var pointBX = xfB.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              var pointBY = xfB.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              var dX = pointBX - pointAX;
              var dY = pointBY - pointAY;
              var d2 = dX * dX + dY * dY;
              if (d2 > Number.MIN_VALUE * Number.MIN_VALUE) {
                 var d = Math.sqrt(d2);
                 this.m_normal.x = dX / d;
                 this.m_normal.y = dY / d;
              }
              else {
                 this.m_normal.x = 1;
                 this.m_normal.y = 0;
              }
              var cAX = pointAX + radiusA * this.m_normal.x;
              var cAY = pointAY + radiusA * this.m_normal.y;
              var cBX = pointBX - radiusB * this.m_normal.x;
              var cBY = pointBY - radiusB * this.m_normal.y;
              this.m_points[0].x = 0.5 * (cAX + cBX);
              this.m_points[0].y = 0.5 * (cAY + cBY);
           }
           break;
        case b2Manifold.e_faceA:
           {
              tMat = xfA.R;
              tVec = manifold.m_localPlaneNormal;
              normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tMat = xfA.R;
              tVec = manifold.m_localPoint;
              planePointX = xfA.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              planePointY = xfA.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              this.m_normal.x = normalX;
              this.m_normal.y = normalY;
              for (i = 0;
              i < manifold.m_pointCount; i++) {
                 tMat = xfB.R;
                 tVec = manifold.m_points[i].m_localPoint;
                 clipPointX = xfB.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
                 clipPointY = xfB.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
                 this.m_points[i].x = clipPointX + 0.5 * (radiusA - (clipPointX - planePointX) * normalX - (clipPointY - planePointY) * normalY - radiusB) * normalX;
                 this.m_points[i].y = clipPointY + 0.5 * (radiusA - (clipPointX - planePointX) * normalX - (clipPointY - planePointY) * normalY - radiusB) * normalY;
              }
           }
           break;
        case b2Manifold.e_faceB:
           {
              tMat = xfB.R;
              tVec = manifold.m_localPlaneNormal;
              normalX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              normalY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tMat = xfB.R;
              tVec = manifold.m_localPoint;
              planePointX = xfB.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              planePointY = xfB.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              this.m_normal.x = (-normalX);
              this.m_normal.y = (-normalY);
              for (i = 0;
              i < manifold.m_pointCount; i++) {
                 tMat = xfA.R;
                 tVec = manifold.m_points[i].m_localPoint;
                 clipPointX = xfA.position.x + tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
                 clipPointY = xfA.position.y + tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
                 this.m_points[i].x = clipPointX + 0.5 * (radiusB - (clipPointX - planePointX) * normalX - (clipPointY - planePointY) * normalY - radiusA) * normalX;
                 this.m_points[i].y = clipPointY + 0.5 * (radiusB - (clipPointX - planePointX) * normalX - (clipPointY - planePointY) * normalY - radiusA) * normalY;
              }
           }
           break;
        }
     }
     ClipVertex.ClipVertex = function () {
        this.v = new b2Vec2();
        this.id = new b2ContactID();
     };
     ClipVertex.prototype.Set = function (other) {
        this.v.SetV(other.v);
        this.id.Set(other.id);
     }
     Features.Features = function () {};
     Object.defineProperty(Features.prototype, 'referenceEdge', {
        enumerable: false,
        configurable: true,
        get: function () {
           return this._referenceEdge;
        }
     });
     Object.defineProperty(Features.prototype, 'referenceEdge', {
        enumerable: false,
        configurable: true,
        set: function (value) {
           if (value === undefined) value = 0;
           this._referenceEdge = value;
           this._m_id._key = (this._m_id._key & 0xffffff00) | (this._referenceEdge & 0x000000ff);
        }
     });
     Object.defineProperty(Features.prototype, 'incidentEdge', {
        enumerable: false,
        configurable: true,
        get: function () {
           return this._incidentEdge;
        }
     });
     Object.defineProperty(Features.prototype, 'incidentEdge', {
        enumerable: false,
        configurable: true,
        set: function (value) {
           if (value === undefined) value = 0;
           this._incidentEdge = value;
           this._m_id._key = (this._m_id._key & 0xffff00ff) | ((this._incidentEdge << 8) & 0x0000ff00);
        }
     });
     Object.defineProperty(Features.prototype, 'incidentVertex', {
        enumerable: false,
        configurable: true,
        get: function () {
           return this._incidentVertex;
        }
     });
     Object.defineProperty(Features.prototype, 'incidentVertex', {
        enumerable: false,
        configurable: true,
        set: function (value) {
           if (value === undefined) value = 0;
           this._incidentVertex = value;
           this._m_id._key = (this._m_id._key & 0xff00ffff) | ((this._incidentVertex << 16) & 0x00ff0000);
        }
     });
     Object.defineProperty(Features.prototype, 'flip', {
        enumerable: false,
        configurable: true,
        get: function () {
           return this._flip;
        }
     });
     Object.defineProperty(Features.prototype, 'flip', {
        enumerable: false,
        configurable: true,
        set: function (value) {
           if (value === undefined) value = 0;
           this._flip = value;
           this._m_id._key = (this._m_id._key & 0x00ffffff) | ((this._flip << 24) & 0xff000000);
        }
     });
  })();
  (function () {
     var b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2CircleShape = Box2D.Collision.Shapes.b2CircleShape,
        b2EdgeChainDef = Box2D.Collision.Shapes.b2EdgeChainDef,
        b2EdgeShape = Box2D.Collision.Shapes.b2EdgeShape,
        b2MassData = Box2D.Collision.Shapes.b2MassData,
        b2PolygonShape = Box2D.Collision.Shapes.b2PolygonShape,
        b2Shape = Box2D.Collision.Shapes.b2Shape,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2Body = Box2D.Dynamics.b2Body,
        b2BodyDef = Box2D.Dynamics.b2BodyDef,
        b2ContactFilter = Box2D.Dynamics.b2ContactFilter,
        b2ContactImpulse = Box2D.Dynamics.b2ContactImpulse,
        b2ContactListener = Box2D.Dynamics.b2ContactListener,
        b2ContactManager = Box2D.Dynamics.b2ContactManager,
        b2DebugDraw = Box2D.Dynamics.b2DebugDraw,
        b2DestructionListener = Box2D.Dynamics.b2DestructionListener,
        b2FilterData = Box2D.Dynamics.b2FilterData,
        b2Fixture = Box2D.Dynamics.b2Fixture,
        b2FixtureDef = Box2D.Dynamics.b2FixtureDef,
        b2Island = Box2D.Dynamics.b2Island,
        b2TimeStep = Box2D.Dynamics.b2TimeStep,
        b2World = Box2D.Dynamics.b2World,
        b2AABB = Box2D.Collision.b2AABB,
        b2Bound = Box2D.Collision.b2Bound,
        b2BoundValues = Box2D.Collision.b2BoundValues,
        b2Collision = Box2D.Collision.b2Collision,
        b2ContactID = Box2D.Collision.b2ContactID,
        b2ContactPoint = Box2D.Collision.b2ContactPoint,
        b2Distance = Box2D.Collision.b2Distance,
        b2DistanceInput = Box2D.Collision.b2DistanceInput,
        b2DistanceOutput = Box2D.Collision.b2DistanceOutput,
        b2DistanceProxy = Box2D.Collision.b2DistanceProxy,
        b2DynamicTree = Box2D.Collision.b2DynamicTree,
        b2DynamicTreeBroadPhase = Box2D.Collision.b2DynamicTreeBroadPhase,
        b2DynamicTreeNode = Box2D.Collision.b2DynamicTreeNode,
        b2DynamicTreePair = Box2D.Collision.b2DynamicTreePair,
        b2Manifold = Box2D.Collision.b2Manifold,
        b2ManifoldPoint = Box2D.Collision.b2ManifoldPoint,
        b2Point = Box2D.Collision.b2Point,
        b2RayCastInput = Box2D.Collision.b2RayCastInput,
        b2RayCastOutput = Box2D.Collision.b2RayCastOutput,
        b2Segment = Box2D.Collision.b2Segment,
        b2SeparationFunction = Box2D.Collision.b2SeparationFunction,
        b2Simplex = Box2D.Collision.b2Simplex,
        b2SimplexCache = Box2D.Collision.b2SimplexCache,
        b2SimplexVertex = Box2D.Collision.b2SimplexVertex,
        b2TimeOfImpact = Box2D.Collision.b2TimeOfImpact,
        b2TOIInput = Box2D.Collision.b2TOIInput,
        b2WorldManifold = Box2D.Collision.b2WorldManifold,
        ClipVertex = Box2D.Collision.ClipVertex,
        Features = Box2D.Collision.Features,
        IBroadPhase = Box2D.Collision.IBroadPhase;
  
     Box2D.inherit(b2CircleShape, Box2D.Collision.Shapes.b2Shape);
     b2CircleShape.prototype.__super = Box2D.Collision.Shapes.b2Shape.prototype;
     b2CircleShape.b2CircleShape = function () {
        Box2D.Collision.Shapes.b2Shape.b2Shape.apply(this, arguments);
        this.m_p = new b2Vec2();
     };
     b2CircleShape.prototype.Copy = function () {
        var s = new b2CircleShape();
        s.Set(this);
        return s;
     }
     b2CircleShape.prototype.Set = function (other) {
        this.__super.Set.call(this, other);
        if (Box2D.is(other, b2CircleShape)) {
           var other2 = (other instanceof b2CircleShape ? other : null);
           this.m_p.SetV(other2.m_p);
        }
     }
     b2CircleShape.prototype.TestPoint = function (transform, p) {
        var tMat = transform.R;
        var dX = transform.position.x + (tMat.col1.x * this.m_p.x + tMat.col2.x * this.m_p.y);
        var dY = transform.position.y + (tMat.col1.y * this.m_p.x + tMat.col2.y * this.m_p.y);
        dX = p.x - dX;
        dY = p.y - dY;
        return (dX * dX + dY * dY) <= this.m_radius * this.m_radius;
     }
     b2CircleShape.prototype.RayCast = function (output, input, transform) {
        var tMat = transform.R;
        var positionX = transform.position.x + (tMat.col1.x * this.m_p.x + tMat.col2.x * this.m_p.y);
        var positionY = transform.position.y + (tMat.col1.y * this.m_p.x + tMat.col2.y * this.m_p.y);
        var sX = input.p1.x - positionX;
        var sY = input.p1.y - positionY;
        var b = (sX * sX + sY * sY) - this.m_radius * this.m_radius;
        var rX = input.p2.x - input.p1.x;
        var rY = input.p2.y - input.p1.y;
        var c = (sX * rX + sY * rY);
        var rr = (rX * rX + rY * rY);
        var sigma = c * c - rr * b;
        if (sigma < 0.0 || rr < Number.MIN_VALUE) {
           return false;
        }
        var a = (-(c + Math.sqrt(sigma)));
        if (0.0 <= a && a <= input.maxFraction * rr) {
           a /= rr;
           output.fraction = a;
           output.normal.x = sX + a * rX;
           output.normal.y = sY + a * rY;
           output.normal.Normalize();
           return true;
        }
        return false;
     }
     b2CircleShape.prototype.ComputeAABB = function (aabb, transform) {
        var tMat = transform.R;
        var pX = transform.position.x + (tMat.col1.x * this.m_p.x + tMat.col2.x * this.m_p.y);
        var pY = transform.position.y + (tMat.col1.y * this.m_p.x + tMat.col2.y * this.m_p.y);
        aabb.lowerBound.Set(pX - this.m_radius, pY - this.m_radius);
        aabb.upperBound.Set(pX + this.m_radius, pY + this.m_radius);
     }
     b2CircleShape.prototype.ComputeMass = function (massData, density) {
        if (density === undefined) density = 0;
        massData.mass = density * b2Settings.b2_pi * this.m_radius * this.m_radius;
        massData.center.SetV(this.m_p);
        massData.I = massData.mass * (0.5 * this.m_radius * this.m_radius + (this.m_p.x * this.m_p.x + this.m_p.y * this.m_p.y));
     }
     b2CircleShape.prototype.ComputeSubmergedArea = function (normal, offset, xf, c) {
        if (offset === undefined) offset = 0;
        var p = b2Math.MulX(xf, this.m_p);
        var l = (-(b2Math.Dot(normal, p) - offset));
        if (l < (-this.m_radius) + Number.MIN_VALUE) {
           return 0;
        }
        if (l > this.m_radius) {
           c.SetV(p);
           return Math.PI * this.m_radius * this.m_radius;
        }
        var r2 = this.m_radius * this.m_radius;
        var l2 = l * l;
        var area = r2 * (Math.asin(l / this.m_radius) + Math.PI / 2) + l * Math.sqrt(r2 - l2);
        var com = (-2 / 3 * Math.pow(r2 - l2, 1.5) / area);
        c.x = p.x + normal.x * com;
        c.y = p.y + normal.y * com;
        return area;
     }
     b2CircleShape.prototype.GetLocalPosition = function () {
        return this.m_p;
     }
     b2CircleShape.prototype.SetLocalPosition = function (position) {
        this.m_p.SetV(position);
     }
     b2CircleShape.prototype.GetRadius = function () {
        return this.m_radius;
     }
     b2CircleShape.prototype.SetRadius = function (radius) {
        if (radius === undefined) radius = 0;
        this.m_radius = radius;
     }
     b2CircleShape.prototype.b2CircleShape = function (radius) {
        if (radius === undefined) radius = 0;
        this.__super.b2Shape.call(this);
        this.m_type = b2Shape.e_circleShape;
        this.m_radius = radius;
     }
     b2EdgeChainDef.b2EdgeChainDef = function () {};
     b2EdgeChainDef.prototype.b2EdgeChainDef = function () {
        this.vertexCount = 0;
        this.isALoop = true;
        this.vertices = [];
     }
     Box2D.inherit(b2EdgeShape, Box2D.Collision.Shapes.b2Shape);
     b2EdgeShape.prototype.__super = Box2D.Collision.Shapes.b2Shape.prototype;
     b2EdgeShape.b2EdgeShape = function () {
        Box2D.Collision.Shapes.b2Shape.b2Shape.apply(this, arguments);
        this.s_supportVec = new b2Vec2();
        this.m_v1 = new b2Vec2();
        this.m_v2 = new b2Vec2();
        this.m_coreV1 = new b2Vec2();
        this.m_coreV2 = new b2Vec2();
        this.m_normal = new b2Vec2();
        this.m_direction = new b2Vec2();
        this.m_cornerDir1 = new b2Vec2();
        this.m_cornerDir2 = new b2Vec2();
     };
     b2EdgeShape.prototype.TestPoint = function (transform, p) {
        return false;
     }
     b2EdgeShape.prototype.RayCast = function (output, input, transform) {
        var tMat;
        var rX = input.p2.x - input.p1.x;
        var rY = input.p2.y - input.p1.y;
        tMat = transform.R;
        var v1X = transform.position.x + (tMat.col1.x * this.m_v1.x + tMat.col2.x * this.m_v1.y);
        var v1Y = transform.position.y + (tMat.col1.y * this.m_v1.x + tMat.col2.y * this.m_v1.y);
        var nX = transform.position.y + (tMat.col1.y * this.m_v2.x + tMat.col2.y * this.m_v2.y) - v1Y;
        var nY = (-(transform.position.x + (tMat.col1.x * this.m_v2.x + tMat.col2.x * this.m_v2.y) - v1X));
        var k_slop = 100.0 * Number.MIN_VALUE;
        var denom = (-(rX * nX + rY * nY));
        if (denom > k_slop) {
           var bX = input.p1.x - v1X;
           var bY = input.p1.y - v1Y;
           var a = (bX * nX + bY * nY);
           if (0.0 <= a && a <= input.maxFraction * denom) {
              var mu2 = (-rX * bY) + rY * bX;
              if ((-k_slop * denom) <= mu2 && mu2 <= denom * (1.0 + k_slop)) {
                 a /= denom;
                 output.fraction = a;
                 var nLen = Math.sqrt(nX * nX + nY * nY);
                 output.normal.x = nX / nLen;
                 output.normal.y = nY / nLen;
                 return true;
              }
           }
        }
        return false;
     }
     b2EdgeShape.prototype.ComputeAABB = function (aabb, transform) {
        var tMat = transform.R;
        var v1X = transform.position.x + (tMat.col1.x * this.m_v1.x + tMat.col2.x * this.m_v1.y);
        var v1Y = transform.position.y + (tMat.col1.y * this.m_v1.x + tMat.col2.y * this.m_v1.y);
        var v2X = transform.position.x + (tMat.col1.x * this.m_v2.x + tMat.col2.x * this.m_v2.y);
        var v2Y = transform.position.y + (tMat.col1.y * this.m_v2.x + tMat.col2.y * this.m_v2.y);
        if (v1X < v2X) {
           aabb.lowerBound.x = v1X;
           aabb.upperBound.x = v2X;
        }
        else {
           aabb.lowerBound.x = v2X;
           aabb.upperBound.x = v1X;
        }
        if (v1Y < v2Y) {
           aabb.lowerBound.y = v1Y;
           aabb.upperBound.y = v2Y;
        }
        else {
           aabb.lowerBound.y = v2Y;
           aabb.upperBound.y = v1Y;
        }
     }
     b2EdgeShape.prototype.ComputeMass = function (massData, density) {
        if (density === undefined) density = 0;
        massData.mass = 0;
        massData.center.SetV(this.m_v1);
        massData.I = 0;
     }
     b2EdgeShape.prototype.ComputeSubmergedArea = function (normal, offset, xf, c) {
        if (offset === undefined) offset = 0;
        var v0 = new b2Vec2(normal.x * offset, normal.y * offset);
        var v1 = b2Math.MulX(xf, this.m_v1);
        var v2 = b2Math.MulX(xf, this.m_v2);
        var d1 = b2Math.Dot(normal, v1) - offset;
        var d2 = b2Math.Dot(normal, v2) - offset;
        if (d1 > 0) {
           if (d2 > 0) {
              return 0;
           }
           else {
              v1.x = (-d2 / (d1 - d2) * v1.x) + d1 / (d1 - d2) * v2.x;
              v1.y = (-d2 / (d1 - d2) * v1.y) + d1 / (d1 - d2) * v2.y;
           }
        }
        else {
           if (d2 > 0) {
              v2.x = (-d2 / (d1 - d2) * v1.x) + d1 / (d1 - d2) * v2.x;
              v2.y = (-d2 / (d1 - d2) * v1.y) + d1 / (d1 - d2) * v2.y;
           }
           else {}
        }
        c.x = (v0.x + v1.x + v2.x) / 3;
        c.y = (v0.y + v1.y + v2.y) / 3;
        return 0.5 * ((v1.x - v0.x) * (v2.y - v0.y) - (v1.y - v0.y) * (v2.x - v0.x));
     }
     b2EdgeShape.prototype.GetLength = function () {
        return this.m_length;
     }
     b2EdgeShape.prototype.GetVertex1 = function () {
        return this.m_v1;
     }
     b2EdgeShape.prototype.GetVertex2 = function () {
        return this.m_v2;
     }
     b2EdgeShape.prototype.GetCoreVertex1 = function () {
        return this.m_coreV1;
     }
     b2EdgeShape.prototype.GetCoreVertex2 = function () {
        return this.m_coreV2;
     }
     b2EdgeShape.prototype.GetNormalVector = function () {
        return this.m_normal;
     }
     b2EdgeShape.prototype.GetDirectionVector = function () {
        return this.m_direction;
     }
     b2EdgeShape.prototype.GetCorner1Vector = function () {
        return this.m_cornerDir1;
     }
     b2EdgeShape.prototype.GetCorner2Vector = function () {
        return this.m_cornerDir2;
     }
     b2EdgeShape.prototype.Corner1IsConvex = function () {
        return this.m_cornerConvex1;
     }
     b2EdgeShape.prototype.Corner2IsConvex = function () {
        return this.m_cornerConvex2;
     }
     b2EdgeShape.prototype.GetFirstVertex = function (xf) {
        var tMat = xf.R;
        return new b2Vec2(xf.position.x + (tMat.col1.x * this.m_coreV1.x + tMat.col2.x * this.m_coreV1.y), xf.position.y + (tMat.col1.y * this.m_coreV1.x + tMat.col2.y * this.m_coreV1.y));
     }
     b2EdgeShape.prototype.GetNextEdge = function () {
        return this.m_nextEdge;
     }
     b2EdgeShape.prototype.GetPrevEdge = function () {
        return this.m_prevEdge;
     }
     b2EdgeShape.prototype.Support = function (xf, dX, dY) {
        if (dX === undefined) dX = 0;
        if (dY === undefined) dY = 0;
        var tMat = xf.R;
        var v1X = xf.position.x + (tMat.col1.x * this.m_coreV1.x + tMat.col2.x * this.m_coreV1.y);
        var v1Y = xf.position.y + (tMat.col1.y * this.m_coreV1.x + tMat.col2.y * this.m_coreV1.y);
        var v2X = xf.position.x + (tMat.col1.x * this.m_coreV2.x + tMat.col2.x * this.m_coreV2.y);
        var v2Y = xf.position.y + (tMat.col1.y * this.m_coreV2.x + tMat.col2.y * this.m_coreV2.y);
        if ((v1X * dX + v1Y * dY) > (v2X * dX + v2Y * dY)) {
           this.s_supportVec.x = v1X;
           this.s_supportVec.y = v1Y;
        }
        else {
           this.s_supportVec.x = v2X;
           this.s_supportVec.y = v2Y;
        }
        return this.s_supportVec;
     }
     b2EdgeShape.prototype.b2EdgeShape = function (v1, v2) {
        this.__super.b2Shape.call(this);
        this.m_type = b2Shape.e_edgeShape;
        this.m_prevEdge = null;
        this.m_nextEdge = null;
        this.m_v1 = v1;
        this.m_v2 = v2;
        this.m_direction.Set(this.m_v2.x - this.m_v1.x, this.m_v2.y - this.m_v1.y);
        this.m_length = this.m_direction.Normalize();
        this.m_normal.Set(this.m_direction.y, (-this.m_direction.x));
        this.m_coreV1.Set((-b2Settings.b2_toiSlop * (this.m_normal.x - this.m_direction.x)) + this.m_v1.x, (-b2Settings.b2_toiSlop * (this.m_normal.y - this.m_direction.y)) + this.m_v1.y);
        this.m_coreV2.Set((-b2Settings.b2_toiSlop * (this.m_normal.x + this.m_direction.x)) + this.m_v2.x, (-b2Settings.b2_toiSlop * (this.m_normal.y + this.m_direction.y)) + this.m_v2.y);
        this.m_cornerDir1 = this.m_normal;
        this.m_cornerDir2.Set((-this.m_normal.x), (-this.m_normal.y));
     }
     b2EdgeShape.prototype.SetPrevEdge = function (edge, core, cornerDir, convex) {
        this.m_prevEdge = edge;
        this.m_coreV1 = core;
        this.m_cornerDir1 = cornerDir;
        this.m_cornerConvex1 = convex;
     }
     b2EdgeShape.prototype.SetNextEdge = function (edge, core, cornerDir, convex) {
        this.m_nextEdge = edge;
        this.m_coreV2 = core;
        this.m_cornerDir2 = cornerDir;
        this.m_cornerConvex2 = convex;
     }
     b2MassData.b2MassData = function () {
        this.mass = 0.0;
        this.center = new b2Vec2(0, 0);
        this.I = 0.0;
     };
     Box2D.inherit(b2PolygonShape, Box2D.Collision.Shapes.b2Shape);
     b2PolygonShape.prototype.__super = Box2D.Collision.Shapes.b2Shape.prototype;
     b2PolygonShape.b2PolygonShape = function () {
        Box2D.Collision.Shapes.b2Shape.b2Shape.apply(this, arguments);
     };
     b2PolygonShape.prototype.Copy = function () {
        var s = new b2PolygonShape();
        s.Set(this);
        return s;
     }
     b2PolygonShape.prototype.Set = function (other) {
        this.__super.Set.call(this, other);
        if (Box2D.is(other, b2PolygonShape)) {
           var other2 = (other instanceof b2PolygonShape ? other : null);
           this.m_centroid.SetV(other2.m_centroid);
           this.m_vertexCount = other2.m_vertexCount;
           this.Reserve(this.m_vertexCount);
           for (var i = 0; i < this.m_vertexCount; i++) {
              this.m_vertices[i].SetV(other2.m_vertices[i]);
              this.m_normals[i].SetV(other2.m_normals[i]);
           }
        }
     }
     b2PolygonShape.prototype.SetAsArray = function (vertices, vertexCount) {
        if (vertexCount === undefined) vertexCount = 0;
        var v = new Vector();
        var i = 0,
           tVec;
        for (i = 0;
        i < vertices.length; ++i) {
           tVec = vertices[i];
           v.push(tVec);
        }
        this.SetAsVector(v, vertexCount);
     }
     b2PolygonShape.AsArray = function (vertices, vertexCount) {
        if (vertexCount === undefined) vertexCount = 0;
        var polygonShape = new b2PolygonShape();
        polygonShape.SetAsArray(vertices, vertexCount);
        return polygonShape;
     }
     b2PolygonShape.prototype.SetAsVector = function (vertices, vertexCount) {
        if (vertexCount === undefined) vertexCount = 0;
        if (vertexCount == 0) vertexCount = vertices.length;
        b2Settings.b2Assert(2 <= vertexCount);
        this.m_vertexCount = vertexCount;
        this.Reserve(vertexCount);
        var i = 0;
        for (i = 0;
        i < this.m_vertexCount; i++) {
           this.m_vertices[i].SetV(vertices[i]);
        }
        for (i = 0;
        i < this.m_vertexCount; ++i) {
           var i1 = parseInt(i);
           var i2 = parseInt(i + 1 < this.m_vertexCount ? i + 1 : 0);
           var edge = b2Math.SubtractVV(this.m_vertices[i2], this.m_vertices[i1]);
           b2Settings.b2Assert(edge.LengthSquared() > Number.MIN_VALUE);
           this.m_normals[i].SetV(b2Math.CrossVF(edge, 1.0));
           this.m_normals[i].Normalize();
        }
        this.m_centroid = b2PolygonShape.ComputeCentroid(this.m_vertices, this.m_vertexCount);
     }
     b2PolygonShape.AsVector = function (vertices, vertexCount) {
        if (vertexCount === undefined) vertexCount = 0;
        var polygonShape = new b2PolygonShape();
        polygonShape.SetAsVector(vertices, vertexCount);
        return polygonShape;
     }
     b2PolygonShape.prototype.SetAsBox = function (hx, hy) {
        if (hx === undefined) hx = 0;
        if (hy === undefined) hy = 0;
        this.m_vertexCount = 4;
        this.Reserve(4);
        this.m_vertices[0].Set((-hx), (-hy));
        this.m_vertices[1].Set(hx, (-hy));
        this.m_vertices[2].Set(hx, hy);
        this.m_vertices[3].Set((-hx), hy);
        this.m_normals[0].Set(0.0, (-1.0));
        this.m_normals[1].Set(1.0, 0.0);
        this.m_normals[2].Set(0.0, 1.0);
        this.m_normals[3].Set((-1.0), 0.0);
        this.m_centroid.SetZero();
     }
     b2PolygonShape.AsBox = function (hx, hy) {
        if (hx === undefined) hx = 0;
        if (hy === undefined) hy = 0;
        var polygonShape = new b2PolygonShape();
        polygonShape.SetAsBox(hx, hy);
        return polygonShape;
     }
     b2PolygonShape.prototype.SetAsOrientedBox = function (hx, hy, center, angle) {
        if (hx === undefined) hx = 0;
        if (hy === undefined) hy = 0;
        if (center === undefined) center = null;
        if (angle === undefined) angle = 0.0;
        this.m_vertexCount = 4;
        this.Reserve(4);
        this.m_vertices[0].Set((-hx), (-hy));
        this.m_vertices[1].Set(hx, (-hy));
        this.m_vertices[2].Set(hx, hy);
        this.m_vertices[3].Set((-hx), hy);
        this.m_normals[0].Set(0.0, (-1.0));
        this.m_normals[1].Set(1.0, 0.0);
        this.m_normals[2].Set(0.0, 1.0);
        this.m_normals[3].Set((-1.0), 0.0);
        this.m_centroid = center;
        var xf = new b2Transform();
        xf.position = center;
        xf.R.Set(angle);
        for (var i = 0; i < this.m_vertexCount; ++i) {
           this.m_vertices[i] = b2Math.MulX(xf, this.m_vertices[i]);
           this.m_normals[i] = b2Math.MulMV(xf.R, this.m_normals[i]);
        }
     }
     b2PolygonShape.AsOrientedBox = function (hx, hy, center, angle) {
        if (hx === undefined) hx = 0;
        if (hy === undefined) hy = 0;
        if (center === undefined) center = null;
        if (angle === undefined) angle = 0.0;
        var polygonShape = new b2PolygonShape();
        polygonShape.SetAsOrientedBox(hx, hy, center, angle);
        return polygonShape;
     }
     b2PolygonShape.prototype.SetAsEdge = function (v1, v2) {
        this.m_vertexCount = 2;
        this.Reserve(2);
        this.m_vertices[0].SetV(v1);
        this.m_vertices[1].SetV(v2);
        this.m_centroid.x = 0.5 * (v1.x + v2.x);
        this.m_centroid.y = 0.5 * (v1.y + v2.y);
        this.m_normals[0] = b2Math.CrossVF(b2Math.SubtractVV(v2, v1), 1.0);
        this.m_normals[0].Normalize();
        this.m_normals[1].x = (-this.m_normals[0].x);
        this.m_normals[1].y = (-this.m_normals[0].y);
     }
     b2PolygonShape.AsEdge = function (v1, v2) {
        var polygonShape = new b2PolygonShape();
        polygonShape.SetAsEdge(v1, v2);
        return polygonShape;
     }
     b2PolygonShape.prototype.TestPoint = function (xf, p) {
        var tVec;
        var tMat = xf.R;
        var tX = p.x - xf.position.x;
        var tY = p.y - xf.position.y;
        var pLocalX = (tX * tMat.col1.x + tY * tMat.col1.y);
        var pLocalY = (tX * tMat.col2.x + tY * tMat.col2.y);
        for (var i = 0; i < this.m_vertexCount; ++i) {
           tVec = this.m_vertices[i];
           tX = pLocalX - tVec.x;
           tY = pLocalY - tVec.y;
           tVec = this.m_normals[i];
           var dot = (tVec.x * tX + tVec.y * tY);
           if (dot > 0.0) {
              return false;
           }
        }
        return true;
     }
     b2PolygonShape.prototype.RayCast = function (output, input, transform) {
        var lower = 0.0;
        var upper = input.maxFraction;
        var tX = 0;
        var tY = 0;
        var tMat;
        var tVec;
        tX = input.p1.x - transform.position.x;
        tY = input.p1.y - transform.position.y;
        tMat = transform.R;
        var p1X = (tX * tMat.col1.x + tY * tMat.col1.y);
        var p1Y = (tX * tMat.col2.x + tY * tMat.col2.y);
        tX = input.p2.x - transform.position.x;
        tY = input.p2.y - transform.position.y;
        tMat = transform.R;
        var p2X = (tX * tMat.col1.x + tY * tMat.col1.y);
        var p2Y = (tX * tMat.col2.x + tY * tMat.col2.y);
        var dX = p2X - p1X;
        var dY = p2Y - p1Y;
        var index = parseInt((-1));
        for (var i = 0; i < this.m_vertexCount; ++i) {
           tVec = this.m_vertices[i];
           tX = tVec.x - p1X;
           tY = tVec.y - p1Y;
           tVec = this.m_normals[i];
           var numerator = (tVec.x * tX + tVec.y * tY);
           var denominator = (tVec.x * dX + tVec.y * dY);
           if (denominator == 0.0) {
              if (numerator < 0.0) {
                 return false;
              }
           }
           else {
              if (denominator < 0.0 && numerator < lower * denominator) {
                 lower = numerator / denominator;
                 index = i;
              }
              else if (denominator > 0.0 && numerator < upper * denominator) {
                 upper = numerator / denominator;
              }
           }
           if (upper < lower - Number.MIN_VALUE) {
              return false;
           }
        }
        if (index >= 0) {
           output.fraction = lower;
           tMat = transform.R;
           tVec = this.m_normals[index];
           output.normal.x = (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           output.normal.y = (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           return true;
        }
        return false;
     }
     b2PolygonShape.prototype.ComputeAABB = function (aabb, xf) {
        var tMat = xf.R;
        var tVec = this.m_vertices[0];
        var lowerX = xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        var lowerY = xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        var upperX = lowerX;
        var upperY = lowerY;
        for (var i = 1; i < this.m_vertexCount; ++i) {
           tVec = this.m_vertices[i];
           var vX = xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
           var vY = xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
           lowerX = lowerX < vX ? lowerX : vX;
           lowerY = lowerY < vY ? lowerY : vY;
           upperX = upperX > vX ? upperX : vX;
           upperY = upperY > vY ? upperY : vY;
        }
        aabb.lowerBound.x = lowerX - this.m_radius;
        aabb.lowerBound.y = lowerY - this.m_radius;
        aabb.upperBound.x = upperX + this.m_radius;
        aabb.upperBound.y = upperY + this.m_radius;
     }
     b2PolygonShape.prototype.ComputeMass = function (massData, density) {
        if (density === undefined) density = 0;
        if (this.m_vertexCount == 2) {
           massData.center.x = 0.5 * (this.m_vertices[0].x + this.m_vertices[1].x);
           massData.center.y = 0.5 * (this.m_vertices[0].y + this.m_vertices[1].y);
           massData.mass = 0.0;
           massData.I = 0.0;
           return;
        }
        var centerX = 0.0;
        var centerY = 0.0;
        var area = 0.0;
        var I = 0.0;
        var p1X = 0.0;
        var p1Y = 0.0;
        var k_inv3 = 1.0 / 3.0;
        for (var i = 0; i < this.m_vertexCount; ++i) {
           var p2 = this.m_vertices[i];
           var p3 = i + 1 < this.m_vertexCount ? this.m_vertices[parseInt(i + 1)] : this.m_vertices[0];
           var e1X = p2.x - p1X;
           var e1Y = p2.y - p1Y;
           var e2X = p3.x - p1X;
           var e2Y = p3.y - p1Y;
           var D = e1X * e2Y - e1Y * e2X;
           var triangleArea = 0.5 * D;area += triangleArea;
           centerX += triangleArea * k_inv3 * (p1X + p2.x + p3.x);
           centerY += triangleArea * k_inv3 * (p1Y + p2.y + p3.y);
           var px = p1X;
           var py = p1Y;
           var ex1 = e1X;
           var ey1 = e1Y;
           var ex2 = e2X;
           var ey2 = e2Y;
           var intx2 = k_inv3 * (0.25 * (ex1 * ex1 + ex2 * ex1 + ex2 * ex2) + (px * ex1 + px * ex2)) + 0.5 * px * px;
           var inty2 = k_inv3 * (0.25 * (ey1 * ey1 + ey2 * ey1 + ey2 * ey2) + (py * ey1 + py * ey2)) + 0.5 * py * py;I += D * (intx2 + inty2);
        }
        massData.mass = density * area;
        centerX *= 1.0 / area;
        centerY *= 1.0 / area;
        massData.center.Set(centerX, centerY);
        massData.I = density * I;
     }
     b2PolygonShape.prototype.ComputeSubmergedArea = function (normal, offset, xf, c) {
        if (offset === undefined) offset = 0;
        var normalL = b2Math.MulTMV(xf.R, normal);
        var offsetL = offset - b2Math.Dot(normal, xf.position);
        var depths = new Vector_a2j_Number();
        var diveCount = 0;
        var intoIndex = parseInt((-1));
        var outoIndex = parseInt((-1));
        var lastSubmerged = false;
        var i = 0;
        for (i = 0;
        i < this.m_vertexCount; ++i) {
           depths[i] = b2Math.Dot(normalL, this.m_vertices[i]) - offsetL;
           var isSubmerged = depths[i] < (-Number.MIN_VALUE);
           if (i > 0) {
              if (isSubmerged) {
                 if (!lastSubmerged) {
                    intoIndex = i - 1;
                    diveCount++;
                 }
              }
              else {
                 if (lastSubmerged) {
                    outoIndex = i - 1;
                    diveCount++;
                 }
              }
           }
           lastSubmerged = isSubmerged;
        }
        switch (diveCount) {
        case 0:
           if (lastSubmerged) {
              var md = new b2MassData();
              this.ComputeMass(md, 1);
              c.SetV(b2Math.MulX(xf, md.center));
              return md.mass;
           }
           else {
              return 0;
           }
           break;
        case 1:
           if (intoIndex == (-1)) {
              intoIndex = this.m_vertexCount - 1;
           }
           else {
              outoIndex = this.m_vertexCount - 1;
           }
           break;
        }
        var intoIndex2 = parseInt((intoIndex + 1) % this.m_vertexCount);
        var outoIndex2 = parseInt((outoIndex + 1) % this.m_vertexCount);
        var intoLamdda = (0 - depths[intoIndex]) / (depths[intoIndex2] - depths[intoIndex]);
        var outoLamdda = (0 - depths[outoIndex]) / (depths[outoIndex2] - depths[outoIndex]);
        var intoVec = new b2Vec2(this.m_vertices[intoIndex].x * (1 - intoLamdda) + this.m_vertices[intoIndex2].x * intoLamdda, this.m_vertices[intoIndex].y * (1 - intoLamdda) + this.m_vertices[intoIndex2].y * intoLamdda);
        var outoVec = new b2Vec2(this.m_vertices[outoIndex].x * (1 - outoLamdda) + this.m_vertices[outoIndex2].x * outoLamdda, this.m_vertices[outoIndex].y * (1 - outoLamdda) + this.m_vertices[outoIndex2].y * outoLamdda);
        var area = 0;
        var center = new b2Vec2();
        var p2 = this.m_vertices[intoIndex2];
        var p3;
        i = intoIndex2;
        while (i != outoIndex2) {
           i = (i + 1) % this.m_vertexCount;
           if (i == outoIndex2) p3 = outoVec;
           else p3 = this.m_vertices[i];
           var triangleArea = 0.5 * ((p2.x - intoVec.x) * (p3.y - intoVec.y) - (p2.y - intoVec.y) * (p3.x - intoVec.x));
           area += triangleArea;
           center.x += triangleArea * (intoVec.x + p2.x + p3.x) / 3;
           center.y += triangleArea * (intoVec.y + p2.y + p3.y) / 3;
           p2 = p3;
        }
        center.Multiply(1 / area);
        c.SetV(b2Math.MulX(xf, center));
        return area;
     }
     b2PolygonShape.prototype.GetVertexCount = function () {
        return this.m_vertexCount;
     }
     b2PolygonShape.prototype.GetVertices = function () {
        return this.m_vertices;
     }
     b2PolygonShape.prototype.GetNormals = function () {
        return this.m_normals;
     }
     b2PolygonShape.prototype.GetSupport = function (d) {
        var bestIndex = 0;
        var bestValue = this.m_vertices[0].x * d.x + this.m_vertices[0].y * d.y;
        for (var i = 1; i < this.m_vertexCount; ++i) {
           var value = this.m_vertices[i].x * d.x + this.m_vertices[i].y * d.y;
           if (value > bestValue) {
              bestIndex = i;
              bestValue = value;
           }
        }
        return bestIndex;
     }
     b2PolygonShape.prototype.GetSupportVertex = function (d) {
        var bestIndex = 0;
        var bestValue = this.m_vertices[0].x * d.x + this.m_vertices[0].y * d.y;
        for (var i = 1; i < this.m_vertexCount; ++i) {
           var value = this.m_vertices[i].x * d.x + this.m_vertices[i].y * d.y;
           if (value > bestValue) {
              bestIndex = i;
              bestValue = value;
           }
        }
        return this.m_vertices[bestIndex];
     }
     b2PolygonShape.prototype.Validate = function () {
        return false;
     }
     b2PolygonShape.prototype.b2PolygonShape = function () {
        this.__super.b2Shape.call(this);
        this.m_type = b2Shape.e_polygonShape;
        this.m_centroid = new b2Vec2();
        this.m_vertices = new Vector();
        this.m_normals = new Vector();
     }
     b2PolygonShape.prototype.Reserve = function (count) {
        if (count === undefined) count = 0;
        for (var i = parseInt(this.m_vertices.length); i < count; i++) {
           this.m_vertices[i] = new b2Vec2();
           this.m_normals[i] = new b2Vec2();
        }
     }
     b2PolygonShape.ComputeCentroid = function (vs, count) {
        if (count === undefined) count = 0;
        var c = new b2Vec2();
        var area = 0.0;
        var p1X = 0.0;
        var p1Y = 0.0;
        var inv3 = 1.0 / 3.0;
        for (var i = 0; i < count; ++i) {
           var p2 = vs[i];
           var p3 = i + 1 < count ? vs[parseInt(i + 1)] : vs[0];
           var e1X = p2.x - p1X;
           var e1Y = p2.y - p1Y;
           var e2X = p3.x - p1X;
           var e2Y = p3.y - p1Y;
           var D = (e1X * e2Y - e1Y * e2X);
           var triangleArea = 0.5 * D;area += triangleArea;
           c.x += triangleArea * inv3 * (p1X + p2.x + p3.x);
           c.y += triangleArea * inv3 * (p1Y + p2.y + p3.y);
        }
        c.x *= 1.0 / area;
        c.y *= 1.0 / area;
        return c;
     }
     b2PolygonShape.ComputeOBB = function (obb, vs, count) {
        if (count === undefined) count = 0;
        var i = 0;
        var p = new Vector(count + 1);
        for (i = 0;
        i < count; ++i) {
           p[i] = vs[i];
        }
        p[count] = p[0];
        var minArea = Number.MAX_VALUE;
        for (i = 1;
        i <= count; ++i) {
           var root = p[parseInt(i - 1)];
           var uxX = p[i].x - root.x;
           var uxY = p[i].y - root.y;
           var length = Math.sqrt(uxX * uxX + uxY * uxY);
           uxX /= length;
           uxY /= length;
           var uyX = (-uxY);
           var uyY = uxX;
           var lowerX = Number.MAX_VALUE;
           var lowerY = Number.MAX_VALUE;
           var upperX = (-Number.MAX_VALUE);
           var upperY = (-Number.MAX_VALUE);
           for (var j = 0; j < count; ++j) {
              var dX = p[j].x - root.x;
              var dY = p[j].y - root.y;
              var rX = (uxX * dX + uxY * dY);
              var rY = (uyX * dX + uyY * dY);
              if (rX < lowerX) lowerX = rX;
              if (rY < lowerY) lowerY = rY;
              if (rX > upperX) upperX = rX;
              if (rY > upperY) upperY = rY;
           }
           var area = (upperX - lowerX) * (upperY - lowerY);
           if (area < 0.95 * minArea) {
              minArea = area;
              obb.R.col1.x = uxX;
              obb.R.col1.y = uxY;
              obb.R.col2.x = uyX;
              obb.R.col2.y = uyY;
              var centerX = 0.5 * (lowerX + upperX);
              var centerY = 0.5 * (lowerY + upperY);
              var tMat = obb.R;
              obb.center.x = root.x + (tMat.col1.x * centerX + tMat.col2.x * centerY);
              obb.center.y = root.y + (tMat.col1.y * centerX + tMat.col2.y * centerY);
              obb.extents.x = 0.5 * (upperX - lowerX);
              obb.extents.y = 0.5 * (upperY - lowerY);
           }
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.Shapes.b2PolygonShape.s_mat = new b2Mat22();
     });
     b2Shape.b2Shape = function () {};
     b2Shape.prototype.Copy = function () {
        return null;
     }
     b2Shape.prototype.Set = function (other) {
        this.m_radius = other.m_radius;
     }
     b2Shape.prototype.GetType = function () {
        return this.m_type;
     }
     b2Shape.prototype.TestPoint = function (xf, p) {
        return false;
     }
     b2Shape.prototype.RayCast = function (output, input, transform) {
        return false;
     }
     b2Shape.prototype.ComputeAABB = function (aabb, xf) {}
     b2Shape.prototype.ComputeMass = function (massData, density) {
        if (density === undefined) density = 0;
     }
     b2Shape.prototype.ComputeSubmergedArea = function (normal, offset, xf, c) {
        if (offset === undefined) offset = 0;
        return 0;
     }
     b2Shape.TestOverlap = function (shape1, transform1, shape2, transform2) {
        var input = new b2DistanceInput();
        input.proxyA = new b2DistanceProxy();
        input.proxyA.Set(shape1);
        input.proxyB = new b2DistanceProxy();
        input.proxyB.Set(shape2);
        input.transformA = transform1;
        input.transformB = transform2;
        input.useRadii = true;
        var simplexCache = new b2SimplexCache();
        simplexCache.count = 0;
        var output = new b2DistanceOutput();
        b2Distance.Distance(output, simplexCache, input);
        return output.distance < 10.0 * Number.MIN_VALUE;
     }
     b2Shape.prototype.b2Shape = function () {
        this.m_type = b2Shape.e_unknownShape;
        this.m_radius = b2Settings.b2_linearSlop;
     }
     Box2D.postDefs.push(function () {
        Box2D.Collision.Shapes.b2Shape.e_unknownShape = parseInt((-1));
        Box2D.Collision.Shapes.b2Shape.e_circleShape = 0;
        Box2D.Collision.Shapes.b2Shape.e_polygonShape = 1;
        Box2D.Collision.Shapes.b2Shape.e_edgeShape = 2;
        Box2D.Collision.Shapes.b2Shape.e_shapeTypeCount = 3;
        Box2D.Collision.Shapes.b2Shape.e_hitCollide = 1;
        Box2D.Collision.Shapes.b2Shape.e_missCollide = 0;
        Box2D.Collision.Shapes.b2Shape.e_startsInsideCollide = parseInt((-1));
     });
  })();
  (function () {
     var b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3;
  
     b2Color.b2Color = function () {
        this._r = 0;
        this._g = 0;
        this._b = 0;
     };
     b2Color.prototype.b2Color = function (rr, gg, bb) {
        if (rr === undefined) rr = 0;
        if (gg === undefined) gg = 0;
        if (bb === undefined) bb = 0;
        this._r = Box2D.parseUInt(255 * b2Math.Clamp(rr, 0.0, 1.0));
        this._g = Box2D.parseUInt(255 * b2Math.Clamp(gg, 0.0, 1.0));
        this._b = Box2D.parseUInt(255 * b2Math.Clamp(bb, 0.0, 1.0));
     }
     b2Color.prototype.Set = function (rr, gg, bb) {
        if (rr === undefined) rr = 0;
        if (gg === undefined) gg = 0;
        if (bb === undefined) bb = 0;
        this._r = Box2D.parseUInt(255 * b2Math.Clamp(rr, 0.0, 1.0));
        this._g = Box2D.parseUInt(255 * b2Math.Clamp(gg, 0.0, 1.0));
        this._b = Box2D.parseUInt(255 * b2Math.Clamp(bb, 0.0, 1.0));
     }
     Object.defineProperty(b2Color.prototype, 'r', {
        enumerable: false,
        configurable: true,
        set: function (rr) {
           if (rr === undefined) rr = 0;
           this._r = Box2D.parseUInt(255 * b2Math.Clamp(rr, 0.0, 1.0));
        }
     });
     Object.defineProperty(b2Color.prototype, 'g', {
        enumerable: false,
        configurable: true,
        set: function (gg) {
           if (gg === undefined) gg = 0;
           this._g = Box2D.parseUInt(255 * b2Math.Clamp(gg, 0.0, 1.0));
        }
     });
     Object.defineProperty(b2Color.prototype, 'b', {
        enumerable: false,
        configurable: true,
        set: function (bb) {
           if (bb === undefined) bb = 0;
           this._b = Box2D.parseUInt(255 * b2Math.Clamp(bb, 0.0, 1.0));
        }
     });
     Object.defineProperty(b2Color.prototype, 'color', {
        enumerable: false,
        configurable: true,
        get: function () {
           return (this._r << 16) | (this._g << 8) | (this._b);
        }
     });
     b2Settings.b2Settings = function () {};
     b2Settings.b2MixFriction = function (friction1, friction2) {
        if (friction1 === undefined) friction1 = 0;
        if (friction2 === undefined) friction2 = 0;
        return Math.sqrt(friction1 * friction2);
     }
     b2Settings.b2MixRestitution = function (restitution1, restitution2) {
        if (restitution1 === undefined) restitution1 = 0;
        if (restitution2 === undefined) restitution2 = 0;
        return restitution1 > restitution2 ? restitution1 : restitution2;
     }
     b2Settings.b2Assert = function (a) {
        if (!a) {
           throw "Assertion Failed";
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Common.b2Settings.VERSION = "2.1alpha";
        Box2D.Common.b2Settings.USHRT_MAX = 0x0000ffff;
        Box2D.Common.b2Settings.b2_pi = Math.PI;
        Box2D.Common.b2Settings.b2_maxManifoldPoints = 2;
        Box2D.Common.b2Settings.b2_aabbExtension = 0.1;
        Box2D.Common.b2Settings.b2_aabbMultiplier = 2.0;
        Box2D.Common.b2Settings.b2_polygonRadius = 2.0 * b2Settings.b2_linearSlop;
        Box2D.Common.b2Settings.b2_linearSlop = 0.005;
        Box2D.Common.b2Settings.b2_angularSlop = 2.0 / 180.0 * b2Settings.b2_pi;
        Box2D.Common.b2Settings.b2_toiSlop = 8.0 * b2Settings.b2_linearSlop;
        Box2D.Common.b2Settings.b2_maxTOIContactsPerIsland = 32;
        Box2D.Common.b2Settings.b2_maxTOIJointsPerIsland = 32;
        Box2D.Common.b2Settings.b2_velocityThreshold = 1.0;
        Box2D.Common.b2Settings.b2_maxLinearCorrection = 0.2;
        Box2D.Common.b2Settings.b2_maxAngularCorrection = 8.0 / 180.0 * b2Settings.b2_pi;
        Box2D.Common.b2Settings.b2_maxTranslation = 2.0;
        Box2D.Common.b2Settings.b2_maxTranslationSquared = b2Settings.b2_maxTranslation * b2Settings.b2_maxTranslation;
        Box2D.Common.b2Settings.b2_maxRotation = 0.5 * b2Settings.b2_pi;
        Box2D.Common.b2Settings.b2_maxRotationSquared = b2Settings.b2_maxRotation * b2Settings.b2_maxRotation;
        Box2D.Common.b2Settings.b2_contactBaumgarte = 0.2;
        Box2D.Common.b2Settings.b2_timeToSleep = 0.5;
        Box2D.Common.b2Settings.b2_linearSleepTolerance = 0.01;
        Box2D.Common.b2Settings.b2_angularSleepTolerance = 2.0 / 180.0 * b2Settings.b2_pi;
     });
  })();
  (function () {
     var b2AABB = Box2D.Collision.b2AABB,
        b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3;
  
     b2Mat22.b2Mat22 = function () {
        this.col1 = new b2Vec2();
        this.col2 = new b2Vec2();
     };
     b2Mat22.prototype.b2Mat22 = function () {
        this.SetIdentity();
     }
     b2Mat22.FromAngle = function (angle) {
        if (angle === undefined) angle = 0;
        var mat = new b2Mat22();
        mat.Set(angle);
        return mat;
     }
     b2Mat22.FromVV = function (c1, c2) {
        var mat = new b2Mat22();
        mat.SetVV(c1, c2);
        return mat;
     }
     b2Mat22.prototype.Set = function (angle) {
        if (angle === undefined) angle = 0;
        var c = Math.cos(angle);
        var s = Math.sin(angle);
        this.col1.x = c;
        this.col2.x = (-s);
        this.col1.y = s;
        this.col2.y = c;
     }
     b2Mat22.prototype.SetVV = function (c1, c2) {
        this.col1.SetV(c1);
        this.col2.SetV(c2);
     }
     b2Mat22.prototype.Copy = function () {
        var mat = new b2Mat22();
        mat.SetM(this);
        return mat;
     }
     b2Mat22.prototype.SetM = function (m) {
        this.col1.SetV(m.col1);
        this.col2.SetV(m.col2);
     }
     b2Mat22.prototype.AddM = function (m) {
        this.col1.x += m.col1.x;
        this.col1.y += m.col1.y;
        this.col2.x += m.col2.x;
        this.col2.y += m.col2.y;
     }
     b2Mat22.prototype.SetIdentity = function () {
        this.col1.x = 1.0;
        this.col2.x = 0.0;
        this.col1.y = 0.0;
        this.col2.y = 1.0;
     }
     b2Mat22.prototype.SetZero = function () {
        this.col1.x = 0.0;
        this.col2.x = 0.0;
        this.col1.y = 0.0;
        this.col2.y = 0.0;
     }
     b2Mat22.prototype.GetAngle = function () {
        return Math.atan2(this.col1.y, this.col1.x);
     }
     b2Mat22.prototype.GetInverse = function (out) {
        var a = this.col1.x;
        var b = this.col2.x;
        var c = this.col1.y;
        var d = this.col2.y;
        var det = a * d - b * c;
        if (det != 0.0) {
           det = 1.0 / det;
        }
        out.col1.x = det * d;
        out.col2.x = (-det * b);
        out.col1.y = (-det * c);
        out.col2.y = det * a;
        return out;
     }
     b2Mat22.prototype.Solve = function (out, bX, bY) {
        if (bX === undefined) bX = 0;
        if (bY === undefined) bY = 0;
        var a11 = this.col1.x;
        var a12 = this.col2.x;
        var a21 = this.col1.y;
        var a22 = this.col2.y;
        var det = a11 * a22 - a12 * a21;
        if (det != 0.0) {
           det = 1.0 / det;
        }
        out.x = det * (a22 * bX - a12 * bY);
        out.y = det * (a11 * bY - a21 * bX);
        return out;
     }
     b2Mat22.prototype.Abs = function () {
        this.col1.Abs();
        this.col2.Abs();
     }
     b2Mat33.b2Mat33 = function () {
        this.col1 = new b2Vec3();
        this.col2 = new b2Vec3();
        this.col3 = new b2Vec3();
     };
     b2Mat33.prototype.b2Mat33 = function (c1, c2, c3) {
        if (c1 === undefined) c1 = null;
        if (c2 === undefined) c2 = null;
        if (c3 === undefined) c3 = null;
        if (!c1 && !c2 && !c3) {
           this.col1.SetZero();
           this.col2.SetZero();
           this.col3.SetZero();
        }
        else {
           this.col1.SetV(c1);
           this.col2.SetV(c2);
           this.col3.SetV(c3);
        }
     }
     b2Mat33.prototype.SetVVV = function (c1, c2, c3) {
        this.col1.SetV(c1);
        this.col2.SetV(c2);
        this.col3.SetV(c3);
     }
     b2Mat33.prototype.Copy = function () {
        return new b2Mat33(this.col1, this.col2, this.col3);
     }
     b2Mat33.prototype.SetM = function (m) {
        this.col1.SetV(m.col1);
        this.col2.SetV(m.col2);
        this.col3.SetV(m.col3);
     }
     b2Mat33.prototype.AddM = function (m) {
        this.col1.x += m.col1.x;
        this.col1.y += m.col1.y;
        this.col1.z += m.col1.z;
        this.col2.x += m.col2.x;
        this.col2.y += m.col2.y;
        this.col2.z += m.col2.z;
        this.col3.x += m.col3.x;
        this.col3.y += m.col3.y;
        this.col3.z += m.col3.z;
     }
     b2Mat33.prototype.SetIdentity = function () {
        this.col1.x = 1.0;
        this.col2.x = 0.0;
        this.col3.x = 0.0;
        this.col1.y = 0.0;
        this.col2.y = 1.0;
        this.col3.y = 0.0;
        this.col1.z = 0.0;
        this.col2.z = 0.0;
        this.col3.z = 1.0;
     }
     b2Mat33.prototype.SetZero = function () {
        this.col1.x = 0.0;
        this.col2.x = 0.0;
        this.col3.x = 0.0;
        this.col1.y = 0.0;
        this.col2.y = 0.0;
        this.col3.y = 0.0;
        this.col1.z = 0.0;
        this.col2.z = 0.0;
        this.col3.z = 0.0;
     }
     b2Mat33.prototype.Solve22 = function (out, bX, bY) {
        if (bX === undefined) bX = 0;
        if (bY === undefined) bY = 0;
        var a11 = this.col1.x;
        var a12 = this.col2.x;
        var a21 = this.col1.y;
        var a22 = this.col2.y;
        var det = a11 * a22 - a12 * a21;
        if (det != 0.0) {
           det = 1.0 / det;
        }
        out.x = det * (a22 * bX - a12 * bY);
        out.y = det * (a11 * bY - a21 * bX);
        return out;
     }
     b2Mat33.prototype.Solve33 = function (out, bX, bY, bZ) {
        if (bX === undefined) bX = 0;
        if (bY === undefined) bY = 0;
        if (bZ === undefined) bZ = 0;
        var a11 = this.col1.x;
        var a21 = this.col1.y;
        var a31 = this.col1.z;
        var a12 = this.col2.x;
        var a22 = this.col2.y;
        var a32 = this.col2.z;
        var a13 = this.col3.x;
        var a23 = this.col3.y;
        var a33 = this.col3.z;
        var det = a11 * (a22 * a33 - a32 * a23) + a21 * (a32 * a13 - a12 * a33) + a31 * (a12 * a23 - a22 * a13);
        if (det != 0.0) {
           det = 1.0 / det;
        }
        out.x = det * (bX * (a22 * a33 - a32 * a23) + bY * (a32 * a13 - a12 * a33) + bZ * (a12 * a23 - a22 * a13));
        out.y = det * (a11 * (bY * a33 - bZ * a23) + a21 * (bZ * a13 - bX * a33) + a31 * (bX * a23 - bY * a13));
        out.z = det * (a11 * (a22 * bZ - a32 * bY) + a21 * (a32 * bX - a12 * bZ) + a31 * (a12 * bY - a22 * bX));
        return out;
     }
     b2Math.b2Math = function () {};
     b2Math.IsValid = function (x) {
        if (x === undefined) x = 0;
        return isFinite(x);
     }
     b2Math.Dot = function (a, b) {
        return a.x * b.x + a.y * b.y;
     }
     b2Math.CrossVV = function (a, b) {
        return a.x * b.y - a.y * b.x;
     }
     b2Math.CrossVF = function (a, s) {
        if (s === undefined) s = 0;
        var v = new b2Vec2(s * a.y, (-s * a.x));
        return v;
     }
     b2Math.CrossFV = function (s, a) {
        if (s === undefined) s = 0;
        var v = new b2Vec2((-s * a.y), s * a.x);
        return v;
     }
     b2Math.MulMV = function (A, v) {
        var u = new b2Vec2(A.col1.x * v.x + A.col2.x * v.y, A.col1.y * v.x + A.col2.y * v.y);
        return u;
     }
     b2Math.MulTMV = function (A, v) {
        var u = new b2Vec2(b2Math.Dot(v, A.col1), b2Math.Dot(v, A.col2));
        return u;
     }
     b2Math.MulX = function (T, v) {
        var a = b2Math.MulMV(T.R, v);
        a.x += T.position.x;
        a.y += T.position.y;
        return a;
     }
     b2Math.MulXT = function (T, v) {
        var a = b2Math.SubtractVV(v, T.position);
        var tX = (a.x * T.R.col1.x + a.y * T.R.col1.y);
        a.y = (a.x * T.R.col2.x + a.y * T.R.col2.y);
        a.x = tX;
        return a;
     }
     b2Math.AddVV = function (a, b) {
        var v = new b2Vec2(a.x + b.x, a.y + b.y);
        return v;
     }
     b2Math.SubtractVV = function (a, b) {
        var v = new b2Vec2(a.x - b.x, a.y - b.y);
        return v;
     }
     b2Math.Distance = function (a, b) {
        var cX = a.x - b.x;
        var cY = a.y - b.y;
        return Math.sqrt(cX * cX + cY * cY);
     }
     b2Math.DistanceSquared = function (a, b) {
        var cX = a.x - b.x;
        var cY = a.y - b.y;
        return (cX * cX + cY * cY);
     }
     b2Math.MulFV = function (s, a) {
        if (s === undefined) s = 0;
        var v = new b2Vec2(s * a.x, s * a.y);
        return v;
     }
     b2Math.AddMM = function (A, B) {
        var C = b2Mat22.FromVV(b2Math.AddVV(A.col1, B.col1), b2Math.AddVV(A.col2, B.col2));
        return C;
     }
     b2Math.MulMM = function (A, B) {
        var C = b2Mat22.FromVV(b2Math.MulMV(A, B.col1), b2Math.MulMV(A, B.col2));
        return C;
     }
     b2Math.MulTMM = function (A, B) {
        var c1 = new b2Vec2(b2Math.Dot(A.col1, B.col1), b2Math.Dot(A.col2, B.col1));
        var c2 = new b2Vec2(b2Math.Dot(A.col1, B.col2), b2Math.Dot(A.col2, B.col2));
        var C = b2Mat22.FromVV(c1, c2);
        return C;
     }
     b2Math.Abs = function (a) {
        if (a === undefined) a = 0;
        return a > 0.0 ? a : (-a);
     }
     b2Math.AbsV = function (a) {
        var b = new b2Vec2(b2Math.Abs(a.x), b2Math.Abs(a.y));
        return b;
     }
     b2Math.AbsM = function (A) {
        var B = b2Mat22.FromVV(b2Math.AbsV(A.col1), b2Math.AbsV(A.col2));
        return B;
     }
     b2Math.Min = function (a, b) {
        if (a === undefined) a = 0;
        if (b === undefined) b = 0;
        return a < b ? a : b;
     }
     b2Math.MinV = function (a, b) {
        var c = new b2Vec2(b2Math.Min(a.x, b.x), b2Math.Min(a.y, b.y));
        return c;
     }
     b2Math.Max = function (a, b) {
        if (a === undefined) a = 0;
        if (b === undefined) b = 0;
        return a > b ? a : b;
     }
     b2Math.MaxV = function (a, b) {
        var c = new b2Vec2(b2Math.Max(a.x, b.x), b2Math.Max(a.y, b.y));
        return c;
     }
     b2Math.Clamp = function (a, low, high) {
        if (a === undefined) a = 0;
        if (low === undefined) low = 0;
        if (high === undefined) high = 0;
        return a < low ? low : a > high ? high : a;
     }
     b2Math.ClampV = function (a, low, high) {
        return b2Math.MaxV(low, b2Math.MinV(a, high));
     }
     b2Math.Swap = function (a, b) {
        var tmp = a[0];
        a[0] = b[0];
        b[0] = tmp;
     }
     b2Math.Random = function () {
        return Math.random() * 2 - 1;
     }
     b2Math.RandomRange = function (lo, hi) {
        if (lo === undefined) lo = 0;
        if (hi === undefined) hi = 0;
        var r = Math.random();
        r = (hi - lo) * r + lo;
        return r;
     }
     b2Math.NextPowerOfTwo = function (x) {
        if (x === undefined) x = 0;
        x |= (x >> 1) & 0x7FFFFFFF;
        x |= (x >> 2) & 0x3FFFFFFF;
        x |= (x >> 4) & 0x0FFFFFFF;
        x |= (x >> 8) & 0x00FFFFFF;
        x |= (x >> 16) & 0x0000FFFF;
        return x + 1;
     }
     b2Math.IsPowerOfTwo = function (x) {
        if (x === undefined) x = 0;
        var result = x > 0 && (x & (x - 1)) == 0;
        return result;
     }
     Box2D.postDefs.push(function () {
        Box2D.Common.Math.b2Math.b2Vec2_zero = new b2Vec2(0.0, 0.0);
        Box2D.Common.Math.b2Math.b2Mat22_identity = b2Mat22.FromVV(new b2Vec2(1.0, 0.0), new b2Vec2(0.0, 1.0));
        Box2D.Common.Math.b2Math.b2Transform_identity = new b2Transform(b2Math.b2Vec2_zero, b2Math.b2Mat22_identity);
     });
     b2Sweep.b2Sweep = function () {
        this.localCenter = new b2Vec2();
        this.c0 = new b2Vec2;
        this.c = new b2Vec2();
     };
     b2Sweep.prototype.Set = function (other) {
        this.localCenter.SetV(other.localCenter);
        this.c0.SetV(other.c0);
        this.c.SetV(other.c);
        this.a0 = other.a0;
        this.a = other.a;
        this.t0 = other.t0;
     }
     b2Sweep.prototype.Copy = function () {
        var copy = new b2Sweep();
        copy.localCenter.SetV(this.localCenter);
        copy.c0.SetV(this.c0);
        copy.c.SetV(this.c);
        copy.a0 = this.a0;
        copy.a = this.a;
        copy.t0 = this.t0;
        return copy;
     }
     b2Sweep.prototype.GetTransform = function (xf, alpha) {
        if (alpha === undefined) alpha = 0;
        xf.position.x = (1.0 - alpha) * this.c0.x + alpha * this.c.x;
        xf.position.y = (1.0 - alpha) * this.c0.y + alpha * this.c.y;
        var angle = (1.0 - alpha) * this.a0 + alpha * this.a;
        xf.R.Set(angle);
        var tMat = xf.R;
        xf.position.x -= (tMat.col1.x * this.localCenter.x + tMat.col2.x * this.localCenter.y);
        xf.position.y -= (tMat.col1.y * this.localCenter.x + tMat.col2.y * this.localCenter.y);
     }
     b2Sweep.prototype.Advance = function (t) {
        if (t === undefined) t = 0;
        if (this.t0 < t && 1.0 - this.t0 > Number.MIN_VALUE) {
           var alpha = (t - this.t0) / (1.0 - this.t0);
           this.c0.x = (1.0 - alpha) * this.c0.x + alpha * this.c.x;
           this.c0.y = (1.0 - alpha) * this.c0.y + alpha * this.c.y;
           this.a0 = (1.0 - alpha) * this.a0 + alpha * this.a;
           this.t0 = t;
        }
     }
     b2Transform.b2Transform = function () {
        this.position = new b2Vec2;
        this.R = new b2Mat22();
     };
     b2Transform.prototype.b2Transform = function (pos, r) {
        if (pos === undefined) pos = null;
        if (r === undefined) r = null;
        if (pos) {
           this.position.SetV(pos);
           this.R.SetM(r);
        }
     }
     b2Transform.prototype.Initialize = function (pos, r) {
        this.position.SetV(pos);
        this.R.SetM(r);
     }
     b2Transform.prototype.SetIdentity = function () {
        this.position.SetZero();
        this.R.SetIdentity();
     }
     b2Transform.prototype.Set = function (x) {
        this.position.SetV(x.position);
        this.R.SetM(x.R);
     }
     b2Transform.prototype.GetAngle = function () {
        return Math.atan2(this.R.col1.y, this.R.col1.x);
     }
     b2Vec2.b2Vec2 = function () {};
     b2Vec2.prototype.b2Vec2 = function (x_, y_) {
        if (x_ === undefined) x_ = 0;
        if (y_ === undefined) y_ = 0;
        this.x = x_;
        this.y = y_;
     }
     b2Vec2.prototype.SetZero = function () {
        this.x = 0.0;
        this.y = 0.0;
     }
     b2Vec2.prototype.Set = function (x_, y_) {
        if (x_ === undefined) x_ = 0;
        if (y_ === undefined) y_ = 0;
        this.x = x_;
        this.y = y_;
     }
     b2Vec2.prototype.SetV = function (v) {
        this.x = v.x;
        this.y = v.y;
     }
     b2Vec2.prototype.GetNegative = function () {
        return new b2Vec2((-this.x), (-this.y));
     }
     b2Vec2.prototype.NegativeSelf = function () {
        this.x = (-this.x);
        this.y = (-this.y);
     }
     b2Vec2.Make = function (x_, y_) {
        if (x_ === undefined) x_ = 0;
        if (y_ === undefined) y_ = 0;
        return new b2Vec2(x_, y_);
     }
     b2Vec2.prototype.Copy = function () {
        return new b2Vec2(this.x, this.y);
     }
     b2Vec2.prototype.Add = function (v) {
        this.x += v.x;
        this.y += v.y;
     }
     b2Vec2.prototype.Subtract = function (v) {
        this.x -= v.x;
        this.y -= v.y;
     }
     b2Vec2.prototype.Multiply = function (a) {
        if (a === undefined) a = 0;
        this.x *= a;
        this.y *= a;
     }
     b2Vec2.prototype.MulM = function (A) {
        var tX = this.x;
        this.x = A.col1.x * tX + A.col2.x * this.y;
        this.y = A.col1.y * tX + A.col2.y * this.y;
     }
     b2Vec2.prototype.MulTM = function (A) {
        var tX = b2Math.Dot(this, A.col1);
        this.y = b2Math.Dot(this, A.col2);
        this.x = tX;
     }
     b2Vec2.prototype.CrossVF = function (s) {
        if (s === undefined) s = 0;
        var tX = this.x;
        this.x = s * this.y;
        this.y = (-s * tX);
     }
     b2Vec2.prototype.CrossFV = function (s) {
        if (s === undefined) s = 0;
        var tX = this.x;
        this.x = (-s * this.y);
        this.y = s * tX;
     }
     b2Vec2.prototype.MinV = function (b) {
        this.x = this.x < b.x ? this.x : b.x;
        this.y = this.y < b.y ? this.y : b.y;
     }
     b2Vec2.prototype.MaxV = function (b) {
        this.x = this.x > b.x ? this.x : b.x;
        this.y = this.y > b.y ? this.y : b.y;
     }
     b2Vec2.prototype.Abs = function () {
        if (this.x < 0) this.x = (-this.x);
        if (this.y < 0) this.y = (-this.y);
     }
     b2Vec2.prototype.Length = function () {
        return Math.sqrt(this.x * this.x + this.y * this.y);
     }
     b2Vec2.prototype.LengthSquared = function () {
        return (this.x * this.x + this.y * this.y);
     }
     b2Vec2.prototype.Normalize = function () {
        var length = Math.sqrt(this.x * this.x + this.y * this.y);
        if (length < Number.MIN_VALUE) {
           return 0.0;
        }
        var invLength = 1.0 / length;
        this.x *= invLength;
        this.y *= invLength;
        return length;
     }
     b2Vec2.prototype.IsValid = function () {
        return b2Math.IsValid(this.x) && b2Math.IsValid(this.y);
     }
     b2Vec3.b2Vec3 = function () {};
     b2Vec3.prototype.b2Vec3 = function (x, y, z) {
        if (x === undefined) x = 0;
        if (y === undefined) y = 0;
        if (z === undefined) z = 0;
        this.x = x;
        this.y = y;
        this.z = z;
     }
     b2Vec3.prototype.SetZero = function () {
        this.x = this.y = this.z = 0.0;
     }
     b2Vec3.prototype.Set = function (x, y, z) {
        if (x === undefined) x = 0;
        if (y === undefined) y = 0;
        if (z === undefined) z = 0;
        this.x = x;
        this.y = y;
        this.z = z;
     }
     b2Vec3.prototype.SetV = function (v) {
        this.x = v.x;
        this.y = v.y;
        this.z = v.z;
     }
     b2Vec3.prototype.GetNegative = function () {
        return new b2Vec3((-this.x), (-this.y), (-this.z));
     }
     b2Vec3.prototype.NegativeSelf = function () {
        this.x = (-this.x);
        this.y = (-this.y);
        this.z = (-this.z);
     }
     b2Vec3.prototype.Copy = function () {
        return new b2Vec3(this.x, this.y, this.z);
     }
     b2Vec3.prototype.Add = function (v) {
        this.x += v.x;
        this.y += v.y;
        this.z += v.z;
     }
     b2Vec3.prototype.Subtract = function (v) {
        this.x -= v.x;
        this.y -= v.y;
        this.z -= v.z;
     }
     b2Vec3.prototype.Multiply = function (a) {
        if (a === undefined) a = 0;
        this.x *= a;
        this.y *= a;
        this.z *= a;
     }
  })();
  (function () {
     var b2ControllerEdge = Box2D.Dynamics.Controllers.b2ControllerEdge,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2AABB = Box2D.Collision.b2AABB,
        b2Bound = Box2D.Collision.b2Bound,
        b2BoundValues = Box2D.Collision.b2BoundValues,
        b2Collision = Box2D.Collision.b2Collision,
        b2ContactID = Box2D.Collision.b2ContactID,
        b2ContactPoint = Box2D.Collision.b2ContactPoint,
        b2Distance = Box2D.Collision.b2Distance,
        b2DistanceInput = Box2D.Collision.b2DistanceInput,
        b2DistanceOutput = Box2D.Collision.b2DistanceOutput,
        b2DistanceProxy = Box2D.Collision.b2DistanceProxy,
        b2DynamicTree = Box2D.Collision.b2DynamicTree,
        b2DynamicTreeBroadPhase = Box2D.Collision.b2DynamicTreeBroadPhase,
        b2DynamicTreeNode = Box2D.Collision.b2DynamicTreeNode,
        b2DynamicTreePair = Box2D.Collision.b2DynamicTreePair,
        b2Manifold = Box2D.Collision.b2Manifold,
        b2ManifoldPoint = Box2D.Collision.b2ManifoldPoint,
        b2Point = Box2D.Collision.b2Point,
        b2RayCastInput = Box2D.Collision.b2RayCastInput,
        b2RayCastOutput = Box2D.Collision.b2RayCastOutput,
        b2Segment = Box2D.Collision.b2Segment,
        b2SeparationFunction = Box2D.Collision.b2SeparationFunction,
        b2Simplex = Box2D.Collision.b2Simplex,
        b2SimplexCache = Box2D.Collision.b2SimplexCache,
        b2SimplexVertex = Box2D.Collision.b2SimplexVertex,
        b2TimeOfImpact = Box2D.Collision.b2TimeOfImpact,
        b2TOIInput = Box2D.Collision.b2TOIInput,
        b2WorldManifold = Box2D.Collision.b2WorldManifold,
        ClipVertex = Box2D.Collision.ClipVertex,
        Features = Box2D.Collision.Features,
        IBroadPhase = Box2D.Collision.IBroadPhase,
        b2CircleShape = Box2D.Collision.Shapes.b2CircleShape,
        b2EdgeChainDef = Box2D.Collision.Shapes.b2EdgeChainDef,
        b2EdgeShape = Box2D.Collision.Shapes.b2EdgeShape,
        b2MassData = Box2D.Collision.Shapes.b2MassData,
        b2PolygonShape = Box2D.Collision.Shapes.b2PolygonShape,
        b2Shape = Box2D.Collision.Shapes.b2Shape,
        b2Body = Box2D.Dynamics.b2Body,
        b2BodyDef = Box2D.Dynamics.b2BodyDef,
        b2ContactFilter = Box2D.Dynamics.b2ContactFilter,
        b2ContactImpulse = Box2D.Dynamics.b2ContactImpulse,
        b2ContactListener = Box2D.Dynamics.b2ContactListener,
        b2ContactManager = Box2D.Dynamics.b2ContactManager,
        b2DebugDraw = Box2D.Dynamics.b2DebugDraw,
        b2DestructionListener = Box2D.Dynamics.b2DestructionListener,
        b2FilterData = Box2D.Dynamics.b2FilterData,
        b2Fixture = Box2D.Dynamics.b2Fixture,
        b2FixtureDef = Box2D.Dynamics.b2FixtureDef,
        b2Island = Box2D.Dynamics.b2Island,
        b2TimeStep = Box2D.Dynamics.b2TimeStep,
        b2World = Box2D.Dynamics.b2World,
        b2CircleContact = Box2D.Dynamics.Contacts.b2CircleContact,
        b2Contact = Box2D.Dynamics.Contacts.b2Contact,
        b2ContactConstraint = Box2D.Dynamics.Contacts.b2ContactConstraint,
        b2ContactConstraintPoint = Box2D.Dynamics.Contacts.b2ContactConstraintPoint,
        b2ContactEdge = Box2D.Dynamics.Contacts.b2ContactEdge,
        b2ContactFactory = Box2D.Dynamics.Contacts.b2ContactFactory,
        b2ContactRegister = Box2D.Dynamics.Contacts.b2ContactRegister,
        b2ContactResult = Box2D.Dynamics.Contacts.b2ContactResult,
        b2ContactSolver = Box2D.Dynamics.Contacts.b2ContactSolver,
        b2EdgeAndCircleContact = Box2D.Dynamics.Contacts.b2EdgeAndCircleContact,
        b2NullContact = Box2D.Dynamics.Contacts.b2NullContact,
        b2PolyAndCircleContact = Box2D.Dynamics.Contacts.b2PolyAndCircleContact,
        b2PolyAndEdgeContact = Box2D.Dynamics.Contacts.b2PolyAndEdgeContact,
        b2PolygonContact = Box2D.Dynamics.Contacts.b2PolygonContact,
        b2PositionSolverManifold = Box2D.Dynamics.Contacts.b2PositionSolverManifold,
        b2Controller = Box2D.Dynamics.Controllers.b2Controller,
        b2DistanceJoint = Box2D.Dynamics.Joints.b2DistanceJoint,
        b2DistanceJointDef = Box2D.Dynamics.Joints.b2DistanceJointDef,
        b2FrictionJoint = Box2D.Dynamics.Joints.b2FrictionJoint,
        b2FrictionJointDef = Box2D.Dynamics.Joints.b2FrictionJointDef,
        b2GearJoint = Box2D.Dynamics.Joints.b2GearJoint,
        b2GearJointDef = Box2D.Dynamics.Joints.b2GearJointDef,
        b2Jacobian = Box2D.Dynamics.Joints.b2Jacobian,
        b2Joint = Box2D.Dynamics.Joints.b2Joint,
        b2JointDef = Box2D.Dynamics.Joints.b2JointDef,
        b2JointEdge = Box2D.Dynamics.Joints.b2JointEdge,
        b2LineJoint = Box2D.Dynamics.Joints.b2LineJoint,
        b2LineJointDef = Box2D.Dynamics.Joints.b2LineJointDef,
        b2MouseJoint = Box2D.Dynamics.Joints.b2MouseJoint,
        b2MouseJointDef = Box2D.Dynamics.Joints.b2MouseJointDef,
        b2PrismaticJoint = Box2D.Dynamics.Joints.b2PrismaticJoint,
        b2PrismaticJointDef = Box2D.Dynamics.Joints.b2PrismaticJointDef,
        b2PulleyJoint = Box2D.Dynamics.Joints.b2PulleyJoint,
        b2PulleyJointDef = Box2D.Dynamics.Joints.b2PulleyJointDef,
        b2RevoluteJoint = Box2D.Dynamics.Joints.b2RevoluteJoint,
        b2RevoluteJointDef = Box2D.Dynamics.Joints.b2RevoluteJointDef,
        b2WeldJoint = Box2D.Dynamics.Joints.b2WeldJoint,
        b2WeldJointDef = Box2D.Dynamics.Joints.b2WeldJointDef;
  
     b2Body.b2Body = function () {
        this.m_xf = new b2Transform();
        this.m_sweep = new b2Sweep();
        this.m_linearVelocity = new b2Vec2();
        this.m_force = new b2Vec2();
     };
     b2Body.prototype.connectEdges = function (s1, s2, angle1) {
        if (angle1 === undefined) angle1 = 0;
        var angle2 = Math.atan2(s2.GetDirectionVector().y, s2.GetDirectionVector().x);
        var coreOffset = Math.tan((angle2 - angle1) * 0.5);
        var core = b2Math.MulFV(coreOffset, s2.GetDirectionVector());
        core = b2Math.SubtractVV(core, s2.GetNormalVector());
        core = b2Math.MulFV(b2Settings.b2_toiSlop, core);
        core = b2Math.AddVV(core, s2.GetVertex1());
        var cornerDir = b2Math.AddVV(s1.GetDirectionVector(), s2.GetDirectionVector());
        cornerDir.Normalize();
        var convex = b2Math.Dot(s1.GetDirectionVector(), s2.GetNormalVector()) > 0.0;
        s1.SetNextEdge(s2, core, cornerDir, convex);
        s2.SetPrevEdge(s1, core, cornerDir, convex);
        return angle2;
     }
     b2Body.prototype.CreateFixture = function (def) {
        if (this.m_world.IsLocked() == true) {
           return null;
        }
        var fixture = new b2Fixture();
        fixture.Create(this, this.m_xf, def);
        if (this.m_flags & b2Body.e_activeFlag) {
           var broadPhase = this.m_world.m_contactManager.m_broadPhase;
           fixture.CreateProxy(broadPhase, this.m_xf);
        }
        fixture.m_next = this.m_fixtureList;
        this.m_fixtureList = fixture;
        ++this.m_fixtureCount;
        fixture.m_body = this;
        if (fixture.m_density > 0.0) {
           this.ResetMassData();
        }
        this.m_world.m_flags |= b2World.e_newFixture;
        return fixture;
     }
     b2Body.prototype.CreateFixture2 = function (shape, density) {
        if (density === undefined) density = 0.0;
        var def = new b2FixtureDef();
        def.shape = shape;
        def.density = density;
        return this.CreateFixture(def);
     }
     b2Body.prototype.DestroyFixture = function (fixture) {
        if (this.m_world.IsLocked() == true) {
           return;
        }
        var node = this.m_fixtureList;
        var ppF = null;
        var found = false;
        while (node != null) {
           if (node == fixture) {
              if (ppF) ppF.m_next = fixture.m_next;
              else this.m_fixtureList = fixture.m_next;
              found = true;
              break;
           }
           ppF = node;
           node = node.m_next;
        }
        var edge = this.m_contactList;
        while (edge) {
           var c = edge.contact;
           edge = edge.next;
           var fixtureA = c.GetFixtureA();
           var fixtureB = c.GetFixtureB();
           if (fixture == fixtureA || fixture == fixtureB) {
              this.m_world.m_contactManager.Destroy(c);
           }
        }
        if (this.m_flags & b2Body.e_activeFlag) {
           var broadPhase = this.m_world.m_contactManager.m_broadPhase;
           fixture.DestroyProxy(broadPhase);
        }
        else {}
        fixture.Destroy();
        fixture.m_body = null;
        fixture.m_next = null;
        --this.m_fixtureCount;
        this.ResetMassData();
     }
     b2Body.prototype.SetPositionAndAngle = function (position, angle) {
        if (angle === undefined) angle = 0;
        var f;
        if (this.m_world.IsLocked() == true) {
           return;
        }
        this.m_xf.R.Set(angle);
        this.m_xf.position.SetV(position);
        var tMat = this.m_xf.R;
        var tVec = this.m_sweep.localCenter;
        this.m_sweep.c.x = (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        this.m_sweep.c.y = (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        this.m_sweep.c.x += this.m_xf.position.x;
        this.m_sweep.c.y += this.m_xf.position.y;
        this.m_sweep.c0.SetV(this.m_sweep.c);
        this.m_sweep.a0 = this.m_sweep.a = angle;
        var broadPhase = this.m_world.m_contactManager.m_broadPhase;
        for (f = this.m_fixtureList;
        f; f = f.m_next) {
           f.Synchronize(broadPhase, this.m_xf, this.m_xf);
        }
        this.m_world.m_contactManager.FindNewContacts();
     }
     b2Body.prototype.SetTransform = function (xf) {
        this.SetPositionAndAngle(xf.position, xf.GetAngle());
     }
     b2Body.prototype.GetTransform = function () {
        return this.m_xf;
     }
     b2Body.prototype.GetPosition = function () {
        return this.m_xf.position;
     }
     b2Body.prototype.SetPosition = function (position) {
        this.SetPositionAndAngle(position, this.GetAngle());
     }
     b2Body.prototype.GetAngle = function () {
        return this.m_sweep.a;
     }
     b2Body.prototype.SetAngle = function (angle) {
        if (angle === undefined) angle = 0;
        this.SetPositionAndAngle(this.GetPosition(), angle);
     }
     b2Body.prototype.GetWorldCenter = function () {
        return this.m_sweep.c;
     }
     b2Body.prototype.GetLocalCenter = function () {
        return this.m_sweep.localCenter;
     }
     b2Body.prototype.SetLinearVelocity = function (v) {
        if (this.m_type == b2Body.b2_staticBody) {
           return;
        }
        this.m_linearVelocity.SetV(v);
     }
     b2Body.prototype.GetLinearVelocity = function () {
        return this.m_linearVelocity;
     }
     b2Body.prototype.SetAngularVelocity = function (omega) {
        if (omega === undefined) omega = 0;
        if (this.m_type == b2Body.b2_staticBody) {
           return;
        }
        this.m_angularVelocity = omega;
     }
     b2Body.prototype.GetAngularVelocity = function () {
        return this.m_angularVelocity;
     }
     b2Body.prototype.GetDefinition = function () {
        var bd = new b2BodyDef();
        bd.type = this.GetType();
        bd.allowSleep = (this.m_flags & b2Body.e_allowSleepFlag) == b2Body.e_allowSleepFlag;
        bd.angle = this.GetAngle();
        bd.angularDamping = this.m_angularDamping;
        bd.angularVelocity = this.m_angularVelocity;
        bd.fixedRotation = (this.m_flags & b2Body.e_fixedRotationFlag) == b2Body.e_fixedRotationFlag;
        bd.bullet = (this.m_flags & b2Body.e_bulletFlag) == b2Body.e_bulletFlag;
        bd.awake = (this.m_flags & b2Body.e_awakeFlag) == b2Body.e_awakeFlag;
        bd.linearDamping = this.m_linearDamping;
        bd.linearVelocity.SetV(this.GetLinearVelocity());
        bd.position = this.GetPosition();
        bd.userData = this.GetUserData();
        return bd;
     }
     b2Body.prototype.ApplyForce = function (force, point) {
        if (this.m_type != b2Body.b2_dynamicBody) {
           return;
        }
        if (this.IsAwake() == false) {
           this.SetAwake(true);
        }
        this.m_force.x += force.x;
        this.m_force.y += force.y;
        this.m_torque += ((point.x - this.m_sweep.c.x) * force.y - (point.y - this.m_sweep.c.y) * force.x);
     }
     b2Body.prototype.ApplyTorque = function (torque) {
        if (torque === undefined) torque = 0;
        if (this.m_type != b2Body.b2_dynamicBody) {
           return;
        }
        if (this.IsAwake() == false) {
           this.SetAwake(true);
        }
        this.m_torque += torque;
     }
     b2Body.prototype.ApplyImpulse = function (impulse, point) {
        if (this.m_type != b2Body.b2_dynamicBody) {
           return;
        }
        if (this.IsAwake() == false) {
           this.SetAwake(true);
        }
        this.m_linearVelocity.x += this.m_invMass * impulse.x;
        this.m_linearVelocity.y += this.m_invMass * impulse.y;
        this.m_angularVelocity += this.m_invI * ((point.x - this.m_sweep.c.x) * impulse.y - (point.y - this.m_sweep.c.y) * impulse.x);
     }
     b2Body.prototype.Split = function (callback) {
        var linearVelocity = this.GetLinearVelocity().Copy();
        var angularVelocity = this.GetAngularVelocity();
        var center = this.GetWorldCenter();
        var body1 = this;
        var body2 = this.m_world.CreateBody(this.GetDefinition());
        var prev;
        for (var f = body1.m_fixtureList; f;) {
           if (callback(f)) {
              var next = f.m_next;
              if (prev) {
                 prev.m_next = next;
              }
              else {
                 body1.m_fixtureList = next;
              }
              body1.m_fixtureCount--;
              f.m_next = body2.m_fixtureList;
              body2.m_fixtureList = f;
              body2.m_fixtureCount++;
              f.m_body = body2;
              f = next;
           }
           else {
              prev = f;
              f = f.m_next;
           }
        }
        body1.ResetMassData();
        body2.ResetMassData();
        var center1 = body1.GetWorldCenter();
        var center2 = body2.GetWorldCenter();
        var velocity1 = b2Math.AddVV(linearVelocity, b2Math.CrossFV(angularVelocity, b2Math.SubtractVV(center1, center)));
        var velocity2 = b2Math.AddVV(linearVelocity, b2Math.CrossFV(angularVelocity, b2Math.SubtractVV(center2, center)));
        body1.SetLinearVelocity(velocity1);
        body2.SetLinearVelocity(velocity2);
        body1.SetAngularVelocity(angularVelocity);
        body2.SetAngularVelocity(angularVelocity);
        body1.SynchronizeFixtures();
        body2.SynchronizeFixtures();
        return body2;
     }
     b2Body.prototype.Merge = function (other) {
        var f;
        for (f = other.m_fixtureList;
        f;) {
           var next = f.m_next;
           other.m_fixtureCount--;
           f.m_next = this.m_fixtureList;
           this.m_fixtureList = f;
           this.m_fixtureCount++;
           f.m_body = body2;
           f = next;
        }
        body1.m_fixtureCount = 0;
        var body1 = this;
        var body2 = other;
        var center1 = body1.GetWorldCenter();
        var center2 = body2.GetWorldCenter();
        var velocity1 = body1.GetLinearVelocity().Copy();
        var velocity2 = body2.GetLinearVelocity().Copy();
        var angular1 = body1.GetAngularVelocity();
        var angular = body2.GetAngularVelocity();
        body1.ResetMassData();
        this.SynchronizeFixtures();
     }
     b2Body.prototype.GetMass = function () {
        return this.m_mass;
     }
     b2Body.prototype.GetInertia = function () {
        return this.m_I;
     }
     b2Body.prototype.GetMassData = function (data) {
        data.mass = this.m_mass;
        data.I = this.m_I;
        data.center.SetV(this.m_sweep.localCenter);
     }
     b2Body.prototype.SetMassData = function (massData) {
        b2Settings.b2Assert(this.m_world.IsLocked() == false);
        if (this.m_world.IsLocked() == true) {
           return;
        }
        if (this.m_type != b2Body.b2_dynamicBody) {
           return;
        }
        this.m_invMass = 0.0;
        this.m_I = 0.0;
        this.m_invI = 0.0;
        this.m_mass = massData.mass;
        if (this.m_mass <= 0.0) {
           this.m_mass = 1.0;
        }
        this.m_invMass = 1.0 / this.m_mass;
        if (massData.I > 0.0 && (this.m_flags & b2Body.e_fixedRotationFlag) == 0) {
           this.m_I = massData.I - this.m_mass * (massData.center.x * massData.center.x + massData.center.y * massData.center.y);
           this.m_invI = 1.0 / this.m_I;
        }
        var oldCenter = this.m_sweep.c.Copy();
        this.m_sweep.localCenter.SetV(massData.center);
        this.m_sweep.c0.SetV(b2Math.MulX(this.m_xf, this.m_sweep.localCenter));
        this.m_sweep.c.SetV(this.m_sweep.c0);
        this.m_linearVelocity.x += this.m_angularVelocity * (-(this.m_sweep.c.y - oldCenter.y));
        this.m_linearVelocity.y += this.m_angularVelocity * (+(this.m_sweep.c.x - oldCenter.x));
     }
     b2Body.prototype.ResetMassData = function () {
        this.m_mass = 0.0;
        this.m_invMass = 0.0;
        this.m_I = 0.0;
        this.m_invI = 0.0;
        this.m_sweep.localCenter.SetZero();
        if (this.m_type == b2Body.b2_staticBody || this.m_type == b2Body.b2_kinematicBody) {
           return;
        }
        var center = b2Vec2.Make(0, 0);
        for (var f = this.m_fixtureList; f; f = f.m_next) {
           if (f.m_density == 0.0) {
              continue;
           }
           var massData = f.GetMassData();
           this.m_mass += massData.mass;
           center.x += massData.center.x * massData.mass;
           center.y += massData.center.y * massData.mass;
           this.m_I += massData.I;
        }
        if (this.m_mass > 0.0) {
           this.m_invMass = 1.0 / this.m_mass;
           center.x *= this.m_invMass;
           center.y *= this.m_invMass;
        }
        else {
           this.m_mass = 1.0;
           this.m_invMass = 1.0;
        }
        if (this.m_I > 0.0 && (this.m_flags & b2Body.e_fixedRotationFlag) == 0) {
           this.m_I -= this.m_mass * (center.x * center.x + center.y * center.y);
           this.m_I *= this.m_inertiaScale;
           b2Settings.b2Assert(this.m_I > 0);
           this.m_invI = 1.0 / this.m_I;
        }
        else {
           this.m_I = 0.0;
           this.m_invI = 0.0;
        }
        var oldCenter = this.m_sweep.c.Copy();
        this.m_sweep.localCenter.SetV(center);
        this.m_sweep.c0.SetV(b2Math.MulX(this.m_xf, this.m_sweep.localCenter));
        this.m_sweep.c.SetV(this.m_sweep.c0);
        this.m_linearVelocity.x += this.m_angularVelocity * (-(this.m_sweep.c.y - oldCenter.y));
        this.m_linearVelocity.y += this.m_angularVelocity * (+(this.m_sweep.c.x - oldCenter.x));
     }
     b2Body.prototype.GetWorldPoint = function (localPoint) {
        var A = this.m_xf.R;
        var u = new b2Vec2(A.col1.x * localPoint.x + A.col2.x * localPoint.y, A.col1.y * localPoint.x + A.col2.y * localPoint.y);
        u.x += this.m_xf.position.x;
        u.y += this.m_xf.position.y;
        return u;
     }
     b2Body.prototype.GetWorldVector = function (localVector) {
        return b2Math.MulMV(this.m_xf.R, localVector);
     }
     b2Body.prototype.GetLocalPoint = function (worldPoint) {
        return b2Math.MulXT(this.m_xf, worldPoint);
     }
     b2Body.prototype.GetLocalVector = function (worldVector) {
        return b2Math.MulTMV(this.m_xf.R, worldVector);
     }
     b2Body.prototype.GetLinearVelocityFromWorldPoint = function (worldPoint) {
        return new b2Vec2(this.m_linearVelocity.x - this.m_angularVelocity * (worldPoint.y - this.m_sweep.c.y), this.m_linearVelocity.y + this.m_angularVelocity * (worldPoint.x - this.m_sweep.c.x));
     }
     b2Body.prototype.GetLinearVelocityFromLocalPoint = function (localPoint) {
        var A = this.m_xf.R;
        var worldPoint = new b2Vec2(A.col1.x * localPoint.x + A.col2.x * localPoint.y, A.col1.y * localPoint.x + A.col2.y * localPoint.y);
        worldPoint.x += this.m_xf.position.x;
        worldPoint.y += this.m_xf.position.y;
        return new b2Vec2(this.m_linearVelocity.x - this.m_angularVelocity * (worldPoint.y - this.m_sweep.c.y), this.m_linearVelocity.y + this.m_angularVelocity * (worldPoint.x - this.m_sweep.c.x));
     }
     b2Body.prototype.GetLinearDamping = function () {
        return this.m_linearDamping;
     }
     b2Body.prototype.SetLinearDamping = function (linearDamping) {
        if (linearDamping === undefined) linearDamping = 0;
        this.m_linearDamping = linearDamping;
     }
     b2Body.prototype.GetAngularDamping = function () {
        return this.m_angularDamping;
     }
     b2Body.prototype.SetAngularDamping = function (angularDamping) {
        if (angularDamping === undefined) angularDamping = 0;
        this.m_angularDamping = angularDamping;
     }
     b2Body.prototype.SetType = function (type) {
        if (type === undefined) type = 0;
        if (this.m_type == type) {
           return;
        }
        this.m_type = type;
        this.ResetMassData();
        if (this.m_type == b2Body.b2_staticBody) {
           this.m_linearVelocity.SetZero();
           this.m_angularVelocity = 0.0;
        }
        this.SetAwake(true);
        this.m_force.SetZero();
        this.m_torque = 0.0;
        for (var ce = this.m_contactList; ce; ce = ce.next) {
           ce.contact.FlagForFiltering();
        }
     }
     b2Body.prototype.GetType = function () {
        return this.m_type;
     }
     b2Body.prototype.SetBullet = function (flag) {
        if (flag) {
           this.m_flags |= b2Body.e_bulletFlag;
        }
        else {
           this.m_flags &= ~b2Body.e_bulletFlag;
        }
     }
     b2Body.prototype.IsBullet = function () {
        return (this.m_flags & b2Body.e_bulletFlag) == b2Body.e_bulletFlag;
     }
     b2Body.prototype.SetSleepingAllowed = function (flag) {
        if (flag) {
           this.m_flags |= b2Body.e_allowSleepFlag;
        }
        else {
           this.m_flags &= ~b2Body.e_allowSleepFlag;
           this.SetAwake(true);
        }
     }
     b2Body.prototype.SetAwake = function (flag) {
        if (flag) {
           this.m_flags |= b2Body.e_awakeFlag;
           this.m_sleepTime = 0.0;
        }
        else {
           this.m_flags &= ~b2Body.e_awakeFlag;
           this.m_sleepTime = 0.0;
           this.m_linearVelocity.SetZero();
           this.m_angularVelocity = 0.0;
           this.m_force.SetZero();
           this.m_torque = 0.0;
        }
     }
     b2Body.prototype.IsAwake = function () {
        return (this.m_flags & b2Body.e_awakeFlag) == b2Body.e_awakeFlag;
     }
     b2Body.prototype.SetFixedRotation = function (fixed) {
        if (fixed) {
           this.m_flags |= b2Body.e_fixedRotationFlag;
        }
        else {
           this.m_flags &= ~b2Body.e_fixedRotationFlag;
        }
        this.ResetMassData();
     }
     b2Body.prototype.IsFixedRotation = function () {
        return (this.m_flags & b2Body.e_fixedRotationFlag) == b2Body.e_fixedRotationFlag;
     }
     b2Body.prototype.SetActive = function (flag) {
        if (flag == this.IsActive()) {
           return;
        }
        var broadPhase;
        var f;
        if (flag) {
           this.m_flags |= b2Body.e_activeFlag;
           broadPhase = this.m_world.m_contactManager.m_broadPhase;
           for (f = this.m_fixtureList;
           f; f = f.m_next) {
              f.CreateProxy(broadPhase, this.m_xf);
           }
        }
        else {
           this.m_flags &= ~b2Body.e_activeFlag;
           broadPhase = this.m_world.m_contactManager.m_broadPhase;
           for (f = this.m_fixtureList;
           f; f = f.m_next) {
              f.DestroyProxy(broadPhase);
           }
           var ce = this.m_contactList;
           while (ce) {
              var ce0 = ce;
              ce = ce.next;
              this.m_world.m_contactManager.Destroy(ce0.contact);
           }
           this.m_contactList = null;
        }
     }
     b2Body.prototype.IsActive = function () {
        return (this.m_flags & b2Body.e_activeFlag) == b2Body.e_activeFlag;
     }
     b2Body.prototype.IsSleepingAllowed = function () {
        return (this.m_flags & b2Body.e_allowSleepFlag) == b2Body.e_allowSleepFlag;
     }
     b2Body.prototype.GetFixtureList = function () {
        return this.m_fixtureList;
     }
     b2Body.prototype.GetJointList = function () {
        return this.m_jointList;
     }
     b2Body.prototype.GetControllerList = function () {
        return this.m_controllerList;
     }
     b2Body.prototype.GetContactList = function () {
        return this.m_contactList;
     }
     b2Body.prototype.GetNext = function () {
        return this.m_next;
     }
     b2Body.prototype.GetUserData = function () {
        return this.m_userData;
     }
     b2Body.prototype.SetUserData = function (data) {
        this.m_userData = data;
     }
     b2Body.prototype.GetWorld = function () {
        return this.m_world;
     }
     b2Body.prototype.b2Body = function (bd, world) {
        this.m_flags = 0;
        if (bd.bullet) {
           this.m_flags |= b2Body.e_bulletFlag;
        }
        if (bd.fixedRotation) {
           this.m_flags |= b2Body.e_fixedRotationFlag;
        }
        if (bd.allowSleep) {
           this.m_flags |= b2Body.e_allowSleepFlag;
        }
        if (bd.awake) {
           this.m_flags |= b2Body.e_awakeFlag;
        }
        if (bd.active) {
           this.m_flags |= b2Body.e_activeFlag;
        }
        this.m_world = world;
        this.m_xf.position.SetV(bd.position);
        this.m_xf.R.Set(bd.angle);
        this.m_sweep.localCenter.SetZero();
        this.m_sweep.t0 = 1.0;
        this.m_sweep.a0 = this.m_sweep.a = bd.angle;
        var tMat = this.m_xf.R;
        var tVec = this.m_sweep.localCenter;
        this.m_sweep.c.x = (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        this.m_sweep.c.y = (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        this.m_sweep.c.x += this.m_xf.position.x;
        this.m_sweep.c.y += this.m_xf.position.y;
        this.m_sweep.c0.SetV(this.m_sweep.c);
        this.m_jointList = null;
        this.m_controllerList = null;
        this.m_contactList = null;
        this.m_controllerCount = 0;
        this.m_prev = null;
        this.m_next = null;
        this.m_linearVelocity.SetV(bd.linearVelocity);
        this.m_angularVelocity = bd.angularVelocity;
        this.m_linearDamping = bd.linearDamping;
        this.m_angularDamping = bd.angularDamping;
        this.m_force.Set(0.0, 0.0);
        this.m_torque = 0.0;
        this.m_sleepTime = 0.0;
        this.m_type = bd.type;
        if (this.m_type == b2Body.b2_dynamicBody) {
           this.m_mass = 1.0;
           this.m_invMass = 1.0;
        }
        else {
           this.m_mass = 0.0;
           this.m_invMass = 0.0;
        }
        this.m_I = 0.0;
        this.m_invI = 0.0;
        this.m_inertiaScale = bd.inertiaScale;
        this.m_userData = bd.userData;
        this.m_fixtureList = null;
        this.m_fixtureCount = 0;
     }
     b2Body.prototype.SynchronizeFixtures = function () {
        var xf1 = b2Body.s_xf1;
        xf1.R.Set(this.m_sweep.a0);
        var tMat = xf1.R;
        var tVec = this.m_sweep.localCenter;
        xf1.position.x = this.m_sweep.c0.x - (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        xf1.position.y = this.m_sweep.c0.y - (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
        var f;
        var broadPhase = this.m_world.m_contactManager.m_broadPhase;
        for (f = this.m_fixtureList;
        f; f = f.m_next) {
           f.Synchronize(broadPhase, xf1, this.m_xf);
        }
     }
     b2Body.prototype.SynchronizeTransform = function () {
        this.m_xf.R.Set(this.m_sweep.a);
        var tMat = this.m_xf.R;
        var tVec = this.m_sweep.localCenter;
        this.m_xf.position.x = this.m_sweep.c.x - (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
        this.m_xf.position.y = this.m_sweep.c.y - (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
     }
     b2Body.prototype.ShouldCollide = function (other) {
        if (this.m_type != b2Body.b2_dynamicBody && other.m_type != b2Body.b2_dynamicBody) {
           return false;
        }
        for (var jn = this.m_jointList; jn; jn = jn.next) {
           if (jn.other == other) if (jn.joint.m_collideConnected == false) {
              return false;
           }
        }
        return true;
     }
     b2Body.prototype.Advance = function (t) {
        if (t === undefined) t = 0;
        this.m_sweep.Advance(t);
        this.m_sweep.c.SetV(this.m_sweep.c0);
        this.m_sweep.a = this.m_sweep.a0;
        this.SynchronizeTransform();
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2Body.s_xf1 = new b2Transform();
        Box2D.Dynamics.b2Body.e_islandFlag = 0x0001;
        Box2D.Dynamics.b2Body.e_awakeFlag = 0x0002;
        Box2D.Dynamics.b2Body.e_allowSleepFlag = 0x0004;
        Box2D.Dynamics.b2Body.e_bulletFlag = 0x0008;
        Box2D.Dynamics.b2Body.e_fixedRotationFlag = 0x0010;
        Box2D.Dynamics.b2Body.e_activeFlag = 0x0020;
        Box2D.Dynamics.b2Body.b2_staticBody = 0;
        Box2D.Dynamics.b2Body.b2_kinematicBody = 1;
        Box2D.Dynamics.b2Body.b2_dynamicBody = 2;
     });
     b2BodyDef.b2BodyDef = function () {
        this.position = new b2Vec2();
        this.linearVelocity = new b2Vec2();
     };
     b2BodyDef.prototype.b2BodyDef = function () {
        this.userData = null;
        this.position.Set(0.0, 0.0);
        this.angle = 0.0;
        this.linearVelocity.Set(0, 0);
        this.angularVelocity = 0.0;
        this.linearDamping = 0.0;
        this.angularDamping = 0.0;
        this.allowSleep = true;
        this.awake = true;
        this.fixedRotation = false;
        this.bullet = false;
        this.type = b2Body.b2_staticBody;
        this.active = true;
        this.inertiaScale = 1.0;
     }
     b2ContactFilter.b2ContactFilter = function () {};
     b2ContactFilter.prototype.ShouldCollide = function (fixtureA, fixtureB) {
        var filter1 = fixtureA.GetFilterData();
        var filter2 = fixtureB.GetFilterData();
        if (filter1.groupIndex == filter2.groupIndex && filter1.groupIndex != 0) {
           return filter1.groupIndex > 0;
        }
        var collide = (filter1.maskBits & filter2.categoryBits) != 0 && (filter1.categoryBits & filter2.maskBits) != 0;
        return collide;
     }
     b2ContactFilter.prototype.RayCollide = function (userData, fixture) {
        if (!userData) return true;
        return this.ShouldCollide((userData instanceof b2Fixture ? userData : null), fixture);
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2ContactFilter.b2_defaultFilter = new b2ContactFilter();
     });
     b2ContactImpulse.b2ContactImpulse = function () {
        this.normalImpulses = new Vector_a2j_Number(b2Settings.b2_maxManifoldPoints);
        this.tangentImpulses = new Vector_a2j_Number(b2Settings.b2_maxManifoldPoints);
     };
     b2ContactListener.b2ContactListener = function () {};
     b2ContactListener.prototype.BeginContact = function (contact) {}
     b2ContactListener.prototype.EndContact = function (contact) {}
     b2ContactListener.prototype.PreSolve = function (contact, oldManifold) {}
     b2ContactListener.prototype.PostSolve = function (contact, impulse) {}
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2ContactListener.b2_defaultListener = new b2ContactListener();
     });
     b2ContactManager.b2ContactManager = function () {};
     b2ContactManager.prototype.b2ContactManager = function () {
        this.m_world = null;
        this.m_contactCount = 0;
        this.m_contactFilter = b2ContactFilter.b2_defaultFilter;
        this.m_contactListener = b2ContactListener.b2_defaultListener;
        this.m_contactFactory = new b2ContactFactory(this.m_allocator);
        this.m_broadPhase = new b2DynamicTreeBroadPhase();
     }
     b2ContactManager.prototype.AddPair = function (proxyUserDataA, proxyUserDataB) {
        var fixtureA = (proxyUserDataA instanceof b2Fixture ? proxyUserDataA : null);
        var fixtureB = (proxyUserDataB instanceof b2Fixture ? proxyUserDataB : null);
        var bodyA = fixtureA.GetBody();
        var bodyB = fixtureB.GetBody();
        if (bodyA == bodyB) return;
        var edge = bodyB.GetContactList();
        while (edge) {
           if (edge.other == bodyA) {
              var fA = edge.contact.GetFixtureA();
              var fB = edge.contact.GetFixtureB();
              if (fA == fixtureA && fB == fixtureB) return;
              if (fA == fixtureB && fB == fixtureA) return;
           }
           edge = edge.next;
        }
        if (bodyB.ShouldCollide(bodyA) == false) {
           return;
        }
        if (this.m_contactFilter.ShouldCollide(fixtureA, fixtureB) == false) {
           return;
        }
        var c = this.m_contactFactory.Create(fixtureA, fixtureB);
        fixtureA = c.GetFixtureA();
        fixtureB = c.GetFixtureB();
        bodyA = fixtureA.m_body;
        bodyB = fixtureB.m_body;
        c.m_prev = null;
        c.m_next = this.m_world.m_contactList;
        if (this.m_world.m_contactList != null) {
           this.m_world.m_contactList.m_prev = c;
        }
        this.m_world.m_contactList = c;
        c.m_nodeA.contact = c;
        c.m_nodeA.other = bodyB;
        c.m_nodeA.prev = null;
        c.m_nodeA.next = bodyA.m_contactList;
        if (bodyA.m_contactList != null) {
           bodyA.m_contactList.prev = c.m_nodeA;
        }
        bodyA.m_contactList = c.m_nodeA;
        c.m_nodeB.contact = c;
        c.m_nodeB.other = bodyA;
        c.m_nodeB.prev = null;
        c.m_nodeB.next = bodyB.m_contactList;
        if (bodyB.m_contactList != null) {
           bodyB.m_contactList.prev = c.m_nodeB;
        }
        bodyB.m_contactList = c.m_nodeB;
        ++this.m_world.m_contactCount;
        return;
     }
     b2ContactManager.prototype.FindNewContacts = function () {
        this.m_broadPhase.UpdatePairs(Box2D.generateCallback(this, this.AddPair));
     }
     b2ContactManager.prototype.Destroy = function (c) {
        var fixtureA = c.GetFixtureA();
        var fixtureB = c.GetFixtureB();
        var bodyA = fixtureA.GetBody();
        var bodyB = fixtureB.GetBody();
        if (c.IsTouching()) {
           this.m_contactListener.EndContact(c);
        }
        if (c.m_prev) {
           c.m_prev.m_next = c.m_next;
        }
        if (c.m_next) {
           c.m_next.m_prev = c.m_prev;
        }
        if (c == this.m_world.m_contactList) {
           this.m_world.m_contactList = c.m_next;
        }
        if (c.m_nodeA.prev) {
           c.m_nodeA.prev.next = c.m_nodeA.next;
        }
        if (c.m_nodeA.next) {
           c.m_nodeA.next.prev = c.m_nodeA.prev;
        }
        if (c.m_nodeA == bodyA.m_contactList) {
           bodyA.m_contactList = c.m_nodeA.next;
        }
        if (c.m_nodeB.prev) {
           c.m_nodeB.prev.next = c.m_nodeB.next;
        }
        if (c.m_nodeB.next) {
           c.m_nodeB.next.prev = c.m_nodeB.prev;
        }
        if (c.m_nodeB == bodyB.m_contactList) {
           bodyB.m_contactList = c.m_nodeB.next;
        }
        this.m_contactFactory.Destroy(c);
        --this.m_contactCount;
     }
     b2ContactManager.prototype.Collide = function () {
        var c = this.m_world.m_contactList;
        while (c) {
           var fixtureA = c.GetFixtureA();
           var fixtureB = c.GetFixtureB();
           var bodyA = fixtureA.GetBody();
           var bodyB = fixtureB.GetBody();
           if (bodyA.IsAwake() == false && bodyB.IsAwake() == false) {
              c = c.GetNext();
              continue;
           }
           if (c.m_flags & b2Contact.e_filterFlag) {
              if (bodyB.ShouldCollide(bodyA) == false) {
                 var cNuke = c;
                 c = cNuke.GetNext();
                 this.Destroy(cNuke);
                 continue;
              }
              if (this.m_contactFilter.ShouldCollide(fixtureA, fixtureB) == false) {
                 cNuke = c;
                 c = cNuke.GetNext();
                 this.Destroy(cNuke);
                 continue;
              }
              c.m_flags &= ~b2Contact.e_filterFlag;
           }
           var proxyA = fixtureA.m_proxy;
           var proxyB = fixtureB.m_proxy;
           var overlap = this.m_broadPhase.TestOverlap(proxyA, proxyB);
           if (overlap == false) {
              cNuke = c;
              c = cNuke.GetNext();
              this.Destroy(cNuke);
              continue;
           }
           c.Update(this.m_contactListener);
           c = c.GetNext();
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2ContactManager.s_evalCP = new b2ContactPoint();
     });
     b2DebugDraw.b2DebugDraw = function () {};
     b2DebugDraw.prototype.b2DebugDraw = function () {}
     b2DebugDraw.prototype.SetFlags = function (flags) {
        if (flags === undefined) flags = 0;
     }
     b2DebugDraw.prototype.GetFlags = function () {}
     b2DebugDraw.prototype.AppendFlags = function (flags) {
        if (flags === undefined) flags = 0;
     }
     b2DebugDraw.prototype.ClearFlags = function (flags) {
        if (flags === undefined) flags = 0;
     }
     b2DebugDraw.prototype.SetSprite = function (sprite) {}
     b2DebugDraw.prototype.GetSprite = function () {}
     b2DebugDraw.prototype.SetDrawScale = function (drawScale) {
        if (drawScale === undefined) drawScale = 0;
     }
     b2DebugDraw.prototype.GetDrawScale = function () {}
     b2DebugDraw.prototype.SetLineThickness = function (lineThickness) {
        if (lineThickness === undefined) lineThickness = 0;
     }
     b2DebugDraw.prototype.GetLineThickness = function () {}
     b2DebugDraw.prototype.SetAlpha = function (alpha) {
        if (alpha === undefined) alpha = 0;
     }
     b2DebugDraw.prototype.GetAlpha = function () {}
     b2DebugDraw.prototype.SetFillAlpha = function (alpha) {
        if (alpha === undefined) alpha = 0;
     }
     b2DebugDraw.prototype.GetFillAlpha = function () {}
     b2DebugDraw.prototype.SetXFormScale = function (xformScale) {
        if (xformScale === undefined) xformScale = 0;
     }
     b2DebugDraw.prototype.GetXFormScale = function () {}
     b2DebugDraw.prototype.DrawPolygon = function (vertices, vertexCount, color) {
        if (vertexCount === undefined) vertexCount = 0;
     }
     b2DebugDraw.prototype.DrawSolidPolygon = function (vertices, vertexCount, color) {
        if (vertexCount === undefined) vertexCount = 0;
     }
     b2DebugDraw.prototype.DrawCircle = function (center, radius, color) {
        if (radius === undefined) radius = 0;
     }
     b2DebugDraw.prototype.DrawSolidCircle = function (center, radius, axis, color) {
        if (radius === undefined) radius = 0;
     }
     b2DebugDraw.prototype.DrawSegment = function (p1, p2, color) {}
     b2DebugDraw.prototype.DrawTransform = function (xf) {}
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2DebugDraw.e_shapeBit = 0x0001;
        Box2D.Dynamics.b2DebugDraw.e_jointBit = 0x0002;
        Box2D.Dynamics.b2DebugDraw.e_aabbBit = 0x0004;
        Box2D.Dynamics.b2DebugDraw.e_pairBit = 0x0008;
        Box2D.Dynamics.b2DebugDraw.e_centerOfMassBit = 0x0010;
        Box2D.Dynamics.b2DebugDraw.e_controllerBit = 0x0020;
     });
     b2DestructionListener.b2DestructionListener = function () {};
     b2DestructionListener.prototype.SayGoodbyeJoint = function (joint) {}
     b2DestructionListener.prototype.SayGoodbyeFixture = function (fixture) {}
     b2FilterData.b2FilterData = function () {
        this.categoryBits = 0x0001;
        this.maskBits = 0xFFFF;
        this.groupIndex = 0;
     };
     b2FilterData.prototype.Copy = function () {
        var copy = new b2FilterData();
        copy.categoryBits = this.categoryBits;
        copy.maskBits = this.maskBits;
        copy.groupIndex = this.groupIndex;
        return copy;
     }
     b2Fixture.b2Fixture = function () {
        this.m_filter = new b2FilterData();
     };
     b2Fixture.prototype.GetType = function () {
        return this.m_shape.GetType();
     }
     b2Fixture.prototype.GetShape = function () {
        return this.m_shape;
     }
     b2Fixture.prototype.SetSensor = function (sensor) {
        if (this.m_isSensor == sensor) return;
        this.m_isSensor = sensor;
        if (this.m_body == null) return;
        var edge = this.m_body.GetContactList();
        while (edge) {
           var contact = edge.contact;
           var fixtureA = contact.GetFixtureA();
           var fixtureB = contact.GetFixtureB();
           if (fixtureA == this || fixtureB == this) contact.SetSensor(fixtureA.IsSensor() || fixtureB.IsSensor());
           edge = edge.next;
        }
     }
     b2Fixture.prototype.IsSensor = function () {
        return this.m_isSensor;
     }
     b2Fixture.prototype.SetFilterData = function (filter) {
        this.m_filter = filter.Copy();
        if (this.m_body) return;
        var edge = this.m_body.GetContactList();
        while (edge) {
           var contact = edge.contact;
           var fixtureA = contact.GetFixtureA();
           var fixtureB = contact.GetFixtureB();
           if (fixtureA == this || fixtureB == this) contact.FlagForFiltering();
           edge = edge.next;
        }
     }
     b2Fixture.prototype.GetFilterData = function () {
        return this.m_filter.Copy();
     }
     b2Fixture.prototype.GetBody = function () {
        return this.m_body;
     }
     b2Fixture.prototype.GetNext = function () {
        return this.m_next;
     }
     b2Fixture.prototype.GetUserData = function () {
        return this.m_userData;
     }
     b2Fixture.prototype.SetUserData = function (data) {
        this.m_userData = data;
     }
     b2Fixture.prototype.TestPoint = function (p) {
        return this.m_shape.TestPoint(this.m_body.GetTransform(), p);
     }
     b2Fixture.prototype.RayCast = function (output, input) {
        return this.m_shape.RayCast(output, input, this.m_body.GetTransform());
     }
     b2Fixture.prototype.GetMassData = function (massData) {
        if (massData === undefined) massData = null;
        if (massData == null) {
           massData = new b2MassData();
        }
        this.m_shape.ComputeMass(massData, this.m_density);
        return massData;
     }
     b2Fixture.prototype.SetDensity = function (density) {
        if (density === undefined) density = 0;
        this.m_density = density;
     }
     b2Fixture.prototype.GetDensity = function () {
        return this.m_density;
     }
     b2Fixture.prototype.GetFriction = function () {
        return this.m_friction;
     }
     b2Fixture.prototype.SetFriction = function (friction) {
        if (friction === undefined) friction = 0;
        this.m_friction = friction;
     }
     b2Fixture.prototype.GetRestitution = function () {
        return this.m_restitution;
     }
     b2Fixture.prototype.SetRestitution = function (restitution) {
        if (restitution === undefined) restitution = 0;
        this.m_restitution = restitution;
     }
     b2Fixture.prototype.GetAABB = function () {
        return this.m_aabb;
     }
     b2Fixture.prototype.b2Fixture = function () {
        this.m_aabb = new b2AABB();
        this.m_userData = null;
        this.m_body = null;
        this.m_next = null;
        this.m_shape = null;
        this.m_density = 0.0;
        this.m_friction = 0.0;
        this.m_restitution = 0.0;
     }
     b2Fixture.prototype.Create = function (body, xf, def) {
        this.m_userData = def.userData;
        this.m_friction = def.friction;
        this.m_restitution = def.restitution;
        this.m_body = body;
        this.m_next = null;
        this.m_filter = def.filter.Copy();
        this.m_isSensor = def.isSensor;
        this.m_shape = def.shape.Copy();
        this.m_density = def.density;
     }
     b2Fixture.prototype.Destroy = function () {
        this.m_shape = null;
     }
     b2Fixture.prototype.CreateProxy = function (broadPhase, xf) {
        this.m_shape.ComputeAABB(this.m_aabb, xf);
        this.m_proxy = broadPhase.CreateProxy(this.m_aabb, this);
     }
     b2Fixture.prototype.DestroyProxy = function (broadPhase) {
        if (this.m_proxy == null) {
           return;
        }
        broadPhase.DestroyProxy(this.m_proxy);
        this.m_proxy = null;
     }
     b2Fixture.prototype.Synchronize = function (broadPhase, transform1, transform2) {
        if (!this.m_proxy) return;
        var aabb1 = new b2AABB();
        var aabb2 = new b2AABB();
        this.m_shape.ComputeAABB(aabb1, transform1);
        this.m_shape.ComputeAABB(aabb2, transform2);
        this.m_aabb.Combine(aabb1, aabb2);
        var displacement = b2Math.SubtractVV(transform2.position, transform1.position);
        broadPhase.MoveProxy(this.m_proxy, this.m_aabb, displacement);
     }
     b2FixtureDef.b2FixtureDef = function () {
        this.filter = new b2FilterData();
     };
     b2FixtureDef.prototype.b2FixtureDef = function () {
        this.shape = null;
        this.userData = null;
        this.friction = 0.2;
        this.restitution = 0.0;
        this.density = 0.0;
        this.filter.categoryBits = 0x0001;
        this.filter.maskBits = 0xFFFF;
        this.filter.groupIndex = 0;
        this.isSensor = false;
     }
     b2Island.b2Island = function () {};
     b2Island.prototype.b2Island = function () {
        this.m_bodies = new Vector();
        this.m_contacts = new Vector();
        this.m_joints = new Vector();
     }
     b2Island.prototype.Initialize = function (bodyCapacity, contactCapacity, jointCapacity, allocator, listener, contactSolver) {
        if (bodyCapacity === undefined) bodyCapacity = 0;
        if (contactCapacity === undefined) contactCapacity = 0;
        if (jointCapacity === undefined) jointCapacity = 0;
        var i = 0;
        this.m_bodyCapacity = bodyCapacity;
        this.m_contactCapacity = contactCapacity;
        this.m_jointCapacity = jointCapacity;
        this.m_bodyCount = 0;
        this.m_contactCount = 0;
        this.m_jointCount = 0;
        this.m_allocator = allocator;
        this.m_listener = listener;
        this.m_contactSolver = contactSolver;
        for (i = this.m_bodies.length;
        i < bodyCapacity; i++)
        this.m_bodies[i] = null;
        for (i = this.m_contacts.length;
        i < contactCapacity; i++)
        this.m_contacts[i] = null;
        for (i = this.m_joints.length;
        i < jointCapacity; i++)
        this.m_joints[i] = null;
     }
     b2Island.prototype.Clear = function () {
        this.m_bodyCount = 0;
        this.m_contactCount = 0;
        this.m_jointCount = 0;
     }
     b2Island.prototype.Solve = function (step, gravity, allowSleep) {
        var i = 0;
        var j = 0;
        var b;
        var joint;
        for (i = 0;
        i < this.m_bodyCount; ++i) {
           b = this.m_bodies[i];
           if (b.GetType() != b2Body.b2_dynamicBody) continue;
           b.m_linearVelocity.x += step.dt * (gravity.x + b.m_invMass * b.m_force.x);
           b.m_linearVelocity.y += step.dt * (gravity.y + b.m_invMass * b.m_force.y);
           b.m_angularVelocity += step.dt * b.m_invI * b.m_torque;
           b.m_linearVelocity.Multiply(b2Math.Clamp(1.0 - step.dt * b.m_linearDamping, 0.0, 1.0));
           b.m_angularVelocity *= b2Math.Clamp(1.0 - step.dt * b.m_angularDamping, 0.0, 1.0);
        }
        this.m_contactSolver.Initialize(step, this.m_contacts, this.m_contactCount, this.m_allocator);
        var contactSolver = this.m_contactSolver;
        contactSolver.InitVelocityConstraints(step);
        for (i = 0;
        i < this.m_jointCount; ++i) {
           joint = this.m_joints[i];
           joint.InitVelocityConstraints(step);
        }
        for (i = 0;
        i < step.velocityIterations; ++i) {
           for (j = 0;
           j < this.m_jointCount; ++j) {
              joint = this.m_joints[j];
              joint.SolveVelocityConstraints(step);
           }
           contactSolver.SolveVelocityConstraints();
        }
        for (i = 0;
        i < this.m_jointCount; ++i) {
           joint = this.m_joints[i];
           joint.FinalizeVelocityConstraints();
        }
        contactSolver.FinalizeVelocityConstraints();
        for (i = 0;
        i < this.m_bodyCount; ++i) {
           b = this.m_bodies[i];
           if (b.GetType() == b2Body.b2_staticBody) continue;
           var translationX = step.dt * b.m_linearVelocity.x;
           var translationY = step.dt * b.m_linearVelocity.y;
           if ((translationX * translationX + translationY * translationY) > b2Settings.b2_maxTranslationSquared) {
              b.m_linearVelocity.Normalize();
              b.m_linearVelocity.x *= b2Settings.b2_maxTranslation * step.inv_dt;
              b.m_linearVelocity.y *= b2Settings.b2_maxTranslation * step.inv_dt;
           }
           var rotation = step.dt * b.m_angularVelocity;
           if (rotation * rotation > b2Settings.b2_maxRotationSquared) {
              if (b.m_angularVelocity < 0.0) {
                 b.m_angularVelocity = (-b2Settings.b2_maxRotation * step.inv_dt);
              }
              else {
                 b.m_angularVelocity = b2Settings.b2_maxRotation * step.inv_dt;
              }
           }
           b.m_sweep.c0.SetV(b.m_sweep.c);
           b.m_sweep.a0 = b.m_sweep.a;
           b.m_sweep.c.x += step.dt * b.m_linearVelocity.x;
           b.m_sweep.c.y += step.dt * b.m_linearVelocity.y;
           b.m_sweep.a += step.dt * b.m_angularVelocity;
           b.SynchronizeTransform();
        }
        for (i = 0;
        i < step.positionIterations; ++i) {
           var contactsOkay = contactSolver.SolvePositionConstraints(b2Settings.b2_contactBaumgarte);
           var jointsOkay = true;
           for (j = 0;
           j < this.m_jointCount; ++j) {
              joint = this.m_joints[j];
              var jointOkay = joint.SolvePositionConstraints(b2Settings.b2_contactBaumgarte);
              jointsOkay = jointsOkay && jointOkay;
           }
           if (contactsOkay && jointsOkay) {
              break;
           }
        }
        this.Report(contactSolver.m_constraints);
        if (allowSleep) {
           var minSleepTime = Number.MAX_VALUE;
           var linTolSqr = b2Settings.b2_linearSleepTolerance * b2Settings.b2_linearSleepTolerance;
           var angTolSqr = b2Settings.b2_angularSleepTolerance * b2Settings.b2_angularSleepTolerance;
           for (i = 0;
           i < this.m_bodyCount; ++i) {
              b = this.m_bodies[i];
              if (b.GetType() == b2Body.b2_staticBody) {
                 continue;
              }
              if ((b.m_flags & b2Body.e_allowSleepFlag) == 0) {
                 b.m_sleepTime = 0.0;
                 minSleepTime = 0.0;
              }
              if ((b.m_flags & b2Body.e_allowSleepFlag) == 0 || b.m_angularVelocity * b.m_angularVelocity > angTolSqr || b2Math.Dot(b.m_linearVelocity, b.m_linearVelocity) > linTolSqr) {
                 b.m_sleepTime = 0.0;
                 minSleepTime = 0.0;
              }
              else {
                 b.m_sleepTime += step.dt;
                 minSleepTime = b2Math.Min(minSleepTime, b.m_sleepTime);
              }
           }
           if (minSleepTime >= b2Settings.b2_timeToSleep) {
              for (i = 0;
              i < this.m_bodyCount; ++i) {
                 b = this.m_bodies[i];
                 b.SetAwake(false);
              }
           }
        }
     }
     b2Island.prototype.SolveTOI = function (subStep) {
        var i = 0;
        var j = 0;
        this.m_contactSolver.Initialize(subStep, this.m_contacts, this.m_contactCount, this.m_allocator);
        var contactSolver = this.m_contactSolver;
        for (i = 0;
        i < this.m_jointCount; ++i) {
           this.m_joints[i].InitVelocityConstraints(subStep);
        }
        for (i = 0;
        i < subStep.velocityIterations; ++i) {
           contactSolver.SolveVelocityConstraints();
           for (j = 0;
           j < this.m_jointCount; ++j) {
              this.m_joints[j].SolveVelocityConstraints(subStep);
           }
        }
        for (i = 0;
        i < this.m_bodyCount; ++i) {
           var b = this.m_bodies[i];
           if (b.GetType() == b2Body.b2_staticBody) continue;
           var translationX = subStep.dt * b.m_linearVelocity.x;
           var translationY = subStep.dt * b.m_linearVelocity.y;
           if ((translationX * translationX + translationY * translationY) > b2Settings.b2_maxTranslationSquared) {
              b.m_linearVelocity.Normalize();
              b.m_linearVelocity.x *= b2Settings.b2_maxTranslation * subStep.inv_dt;
              b.m_linearVelocity.y *= b2Settings.b2_maxTranslation * subStep.inv_dt;
           }
           var rotation = subStep.dt * b.m_angularVelocity;
           if (rotation * rotation > b2Settings.b2_maxRotationSquared) {
              if (b.m_angularVelocity < 0.0) {
                 b.m_angularVelocity = (-b2Settings.b2_maxRotation * subStep.inv_dt);
              }
              else {
                 b.m_angularVelocity = b2Settings.b2_maxRotation * subStep.inv_dt;
              }
           }
           b.m_sweep.c0.SetV(b.m_sweep.c);
           b.m_sweep.a0 = b.m_sweep.a;
           b.m_sweep.c.x += subStep.dt * b.m_linearVelocity.x;
           b.m_sweep.c.y += subStep.dt * b.m_linearVelocity.y;
           b.m_sweep.a += subStep.dt * b.m_angularVelocity;
           b.SynchronizeTransform();
        }
        var k_toiBaumgarte = 0.75;
        for (i = 0;
        i < subStep.positionIterations; ++i) {
           var contactsOkay = contactSolver.SolvePositionConstraints(k_toiBaumgarte);
           var jointsOkay = true;
           for (j = 0;
           j < this.m_jointCount; ++j) {
              var jointOkay = this.m_joints[j].SolvePositionConstraints(b2Settings.b2_contactBaumgarte);
              jointsOkay = jointsOkay && jointOkay;
           }
           if (contactsOkay && jointsOkay) {
              break;
           }
        }
        this.Report(contactSolver.m_constraints);
     }
     b2Island.prototype.Report = function (constraints) {
        if (this.m_listener == null) {
           return;
        }
        for (var i = 0; i < this.m_contactCount; ++i) {
           var c = this.m_contacts[i];
           var cc = constraints[i];
           for (var j = 0; j < cc.pointCount; ++j) {
              b2Island.s_impulse.normalImpulses[j] = cc.points[j].normalImpulse;
              b2Island.s_impulse.tangentImpulses[j] = cc.points[j].tangentImpulse;
           }
           this.m_listener.PostSolve(c, b2Island.s_impulse);
        }
     }
     b2Island.prototype.AddBody = function (body) {
        body.m_islandIndex = this.m_bodyCount;
        this.m_bodies[this.m_bodyCount++] = body;
     }
     b2Island.prototype.AddContact = function (contact) {
        this.m_contacts[this.m_contactCount++] = contact;
     }
     b2Island.prototype.AddJoint = function (joint) {
        this.m_joints[this.m_jointCount++] = joint;
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2Island.s_impulse = new b2ContactImpulse();
     });
     b2TimeStep.b2TimeStep = function () {};
     b2TimeStep.prototype.Set = function (step) {
        this.dt = step.dt;
        this.inv_dt = step.inv_dt;
        this.positionIterations = step.positionIterations;
        this.velocityIterations = step.velocityIterations;
        this.warmStarting = step.warmStarting;
     }
     b2World.b2World = function () {
        this.s_stack = new Vector();
        this.m_contactManager = new b2ContactManager();
        this.m_contactSolver = new b2ContactSolver();
        this.m_island = new b2Island();
     };
     b2World.prototype.b2World = function (gravity, doSleep) {
        this.m_destructionListener = null;
        this.m_debugDraw = null;
        this.m_bodyList = null;
        this.m_contactList = null;
        this.m_jointList = null;
        this.m_controllerList = null;
        this.m_bodyCount = 0;
        this.m_contactCount = 0;
        this.m_jointCount = 0;
        this.m_controllerCount = 0;
        b2World.m_warmStarting = true;
        b2World.m_continuousPhysics = true;
        this.m_allowSleep = doSleep;
        this.m_gravity = gravity;
        this.m_inv_dt0 = 0.0;
        this.m_contactManager.m_world = this;
        var bd = new b2BodyDef();
        this.m_groundBody = this.CreateBody(bd);
     }
     b2World.prototype.SetDestructionListener = function (listener) {
        this.m_destructionListener = listener;
     }
     b2World.prototype.SetContactFilter = function (filter) {
        this.m_contactManager.m_contactFilter = filter;
     }
     b2World.prototype.SetContactListener = function (listener) {
        this.m_contactManager.m_contactListener = listener;
     }
     b2World.prototype.SetDebugDraw = function (debugDraw) {
        this.m_debugDraw = debugDraw;
     }
     b2World.prototype.SetBroadPhase = function (broadPhase) {
        var oldBroadPhase = this.m_contactManager.m_broadPhase;
        this.m_contactManager.m_broadPhase = broadPhase;
        for (var b = this.m_bodyList; b; b = b.m_next) {
           for (var f = b.m_fixtureList; f; f = f.m_next) {
              f.m_proxy = broadPhase.CreateProxy(oldBroadPhase.GetFatAABB(f.m_proxy), f);
           }
        }
     }
     b2World.prototype.Validate = function () {
        this.m_contactManager.m_broadPhase.Validate();
     }
     b2World.prototype.GetProxyCount = function () {
        return this.m_contactManager.m_broadPhase.GetProxyCount();
     }
     b2World.prototype.CreateBody = function (def) {
        if (this.IsLocked() == true) {
           return null;
        }
        var b = new b2Body(def, this);
        b.m_prev = null;
        b.m_next = this.m_bodyList;
        if (this.m_bodyList) {
           this.m_bodyList.m_prev = b;
        }
        this.m_bodyList = b;
        ++this.m_bodyCount;
        return b;
     }
     b2World.prototype.DestroyBody = function (b) {
        if (this.IsLocked() == true) {
           return;
        }
        var jn = b.m_jointList;
        while (jn) {
           var jn0 = jn;
           jn = jn.next;
           if (this.m_destructionListener) {
              this.m_destructionListener.SayGoodbyeJoint(jn0.joint);
           }
           this.DestroyJoint(jn0.joint);
        }
        var coe = b.m_controllerList;
        while (coe) {
           var coe0 = coe;
           coe = coe.nextController;
           coe0.controller.RemoveBody(b);
        }
        var ce = b.m_contactList;
        while (ce) {
           var ce0 = ce;
           ce = ce.next;
           this.m_contactManager.Destroy(ce0.contact);
        }
        b.m_contactList = null;
        var f = b.m_fixtureList;
        while (f) {
           var f0 = f;
           f = f.m_next;
           if (this.m_destructionListener) {
              this.m_destructionListener.SayGoodbyeFixture(f0);
           }
           f0.DestroyProxy(this.m_contactManager.m_broadPhase);
           f0.Destroy();
        }
        b.m_fixtureList = null;
        b.m_fixtureCount = 0;
        if (b.m_prev) {
           b.m_prev.m_next = b.m_next;
        }
        if (b.m_next) {
           b.m_next.m_prev = b.m_prev;
        }
        if (b == this.m_bodyList) {
           this.m_bodyList = b.m_next;
        }--this.m_bodyCount;
     }
     b2World.prototype.CreateJoint = function (def) {
        var j = b2Joint.Create(def, null);
        j.m_prev = null;
        j.m_next = this.m_jointList;
        if (this.m_jointList) {
           this.m_jointList.m_prev = j;
        }
        this.m_jointList = j;
        ++this.m_jointCount;
        j.m_edgeA.joint = j;
        j.m_edgeA.other = j.m_bodyB;
        j.m_edgeA.prev = null;
        j.m_edgeA.next = j.m_bodyA.m_jointList;
        if (j.m_bodyA.m_jointList) j.m_bodyA.m_jointList.prev = j.m_edgeA;
        j.m_bodyA.m_jointList = j.m_edgeA;
        j.m_edgeB.joint = j;
        j.m_edgeB.other = j.m_bodyA;
        j.m_edgeB.prev = null;
        j.m_edgeB.next = j.m_bodyB.m_jointList;
        if (j.m_bodyB.m_jointList) j.m_bodyB.m_jointList.prev = j.m_edgeB;
        j.m_bodyB.m_jointList = j.m_edgeB;
        var bodyA = def.bodyA;
        var bodyB = def.bodyB;
        if (def.collideConnected == false) {
           var edge = bodyB.GetContactList();
           while (edge) {
              if (edge.other == bodyA) {
                 edge.contact.FlagForFiltering();
              }
              edge = edge.next;
           }
        }
        return j;
     }
     b2World.prototype.DestroyJoint = function (j) {
        var collideConnected = j.m_collideConnected;
        if (j.m_prev) {
           j.m_prev.m_next = j.m_next;
        }
        if (j.m_next) {
           j.m_next.m_prev = j.m_prev;
        }
        if (j == this.m_jointList) {
           this.m_jointList = j.m_next;
        }
        var bodyA = j.m_bodyA;
        var bodyB = j.m_bodyB;
        bodyA.SetAwake(true);
        bodyB.SetAwake(true);
        if (j.m_edgeA.prev) {
           j.m_edgeA.prev.next = j.m_edgeA.next;
        }
        if (j.m_edgeA.next) {
           j.m_edgeA.next.prev = j.m_edgeA.prev;
        }
        if (j.m_edgeA == bodyA.m_jointList) {
           bodyA.m_jointList = j.m_edgeA.next;
        }
        j.m_edgeA.prev = null;
        j.m_edgeA.next = null;
        if (j.m_edgeB.prev) {
           j.m_edgeB.prev.next = j.m_edgeB.next;
        }
        if (j.m_edgeB.next) {
           j.m_edgeB.next.prev = j.m_edgeB.prev;
        }
        if (j.m_edgeB == bodyB.m_jointList) {
           bodyB.m_jointList = j.m_edgeB.next;
        }
        j.m_edgeB.prev = null;
        j.m_edgeB.next = null;
        b2Joint.Destroy(j, null);
        --this.m_jointCount;
        if (collideConnected == false) {
           var edge = bodyB.GetContactList();
           while (edge) {
              if (edge.other == bodyA) {
                 edge.contact.FlagForFiltering();
              }
              edge = edge.next;
           }
        }
     }
     b2World.prototype.AddController = function (c) {
        c.m_next = this.m_controllerList;
        c.m_prev = null;
        this.m_controllerList = c;
        c.m_world = this;
        this.m_controllerCount++;
        return c;
     }
     b2World.prototype.RemoveController = function (c) {
        if (c.m_prev) c.m_prev.m_next = c.m_next;
        if (c.m_next) c.m_next.m_prev = c.m_prev;
        if (this.m_controllerList == c) this.m_controllerList = c.m_next;
        this.m_controllerCount--;
     }
     b2World.prototype.CreateController = function (controller) {
        if (controller.m_world != this) throw new Error("Controller can only be a member of one world");
        controller.m_next = this.m_controllerList;
        controller.m_prev = null;
        if (this.m_controllerList) this.m_controllerList.m_prev = controller;
        this.m_controllerList = controller;
        ++this.m_controllerCount;
        controller.m_world = this;
        return controller;
     }
     b2World.prototype.DestroyController = function (controller) {
        controller.Clear();
        if (controller.m_next) controller.m_next.m_prev = controller.m_prev;
        if (controller.m_prev) controller.m_prev.m_next = controller.m_next;
        if (controller == this.m_controllerList) this.m_controllerList = controller.m_next;
        --this.m_controllerCount;
     }
     b2World.prototype.SetWarmStarting = function (flag) {
        b2World.m_warmStarting = flag;
     }
     b2World.prototype.SetContinuousPhysics = function (flag) {
        b2World.m_continuousPhysics = flag;
     }
     b2World.prototype.GetBodyCount = function () {
        return this.m_bodyCount;
     }
     b2World.prototype.GetJointCount = function () {
        return this.m_jointCount;
     }
     b2World.prototype.GetContactCount = function () {
        return this.m_contactCount;
     }
     b2World.prototype.SetGravity = function (gravity) {
        this.m_gravity = gravity;
     }
     b2World.prototype.GetGravity = function () {
        return this.m_gravity;
     }
     b2World.prototype.GetGroundBody = function () {
        return this.m_groundBody;
     }
     b2World.prototype.Step = function (dt, velocityIterations, positionIterations) {
        if (dt === undefined) dt = 0;
        if (velocityIterations === undefined) velocityIterations = 0;
        if (positionIterations === undefined) positionIterations = 0;
        if (this.m_flags & b2World.e_newFixture) {
           this.m_contactManager.FindNewContacts();
           this.m_flags &= ~b2World.e_newFixture;
        }
        this.m_flags |= b2World.e_locked;
        var step = b2World.s_timestep2;
        step.dt = dt;
        step.velocityIterations = velocityIterations;
        step.positionIterations = positionIterations;
        if (dt > 0.0) {
           step.inv_dt = 1.0 / dt;
        }
        else {
           step.inv_dt = 0.0;
        }
        step.dtRatio = this.m_inv_dt0 * dt;
        step.warmStarting = b2World.m_warmStarting;
        this.m_contactManager.Collide();
        if (step.dt > 0.0) {
           this.Solve(step);
        }
        if (b2World.m_continuousPhysics && step.dt > 0.0) {
           this.SolveTOI(step);
        }
        if (step.dt > 0.0) {
           this.m_inv_dt0 = step.inv_dt;
        }
        this.m_flags &= ~b2World.e_locked;
     }
     b2World.prototype.ClearForces = function () {
        for (var body = this.m_bodyList; body; body = body.m_next) {
           body.m_force.SetZero();
           body.m_torque = 0.0;
        }
     }
     b2World.prototype.DrawDebugData = function () {
        if (this.m_debugDraw == null) {
           return;
        }
        this.m_debugDraw.m_sprite.graphics.clear();
        var flags = this.m_debugDraw.GetFlags();
        var i = 0;
        var b;
        var f;
        var s;
        var j;
        var bp;
        var invQ = new b2Vec2;
        var x1 = new b2Vec2;
        var x2 = new b2Vec2;
        var xf;
        var b1 = new b2AABB();
        var b2 = new b2AABB();
        var vs = [new b2Vec2(), new b2Vec2(), new b2Vec2(), new b2Vec2()];
        var color = new b2Color(0, 0, 0);
        if (flags & b2DebugDraw.e_shapeBit) {
           for (b = this.m_bodyList;
           b; b = b.m_next) {
              xf = b.m_xf;
              for (f = b.GetFixtureList();
              f; f = f.m_next) {
                 s = f.GetShape();
                 if (b.IsActive() == false) {
                    color.Set(0.5, 0.5, 0.3);
                    this.DrawShape(s, xf, color);
                 }
                 else if (b.GetType() == b2Body.b2_staticBody) {
                    color.Set(0.5, 0.9, 0.5);
                    this.DrawShape(s, xf, color);
                 }
                 else if (b.GetType() == b2Body.b2_kinematicBody) {
                    color.Set(0.5, 0.5, 0.9);
                    this.DrawShape(s, xf, color);
                 }
                 else if (b.IsAwake() == false) {
                    color.Set(0.6, 0.6, 0.6);
                    this.DrawShape(s, xf, color);
                 }
                 else {
                    color.Set(0.9, 0.7, 0.7);
                    this.DrawShape(s, xf, color);
                 }
              }
           }
        }
        if (flags & b2DebugDraw.e_jointBit) {
           for (j = this.m_jointList;
           j; j = j.m_next) {
              this.DrawJoint(j);
           }
        }
        if (flags & b2DebugDraw.e_controllerBit) {
           for (var c = this.m_controllerList; c; c = c.m_next) {
              c.Draw(this.m_debugDraw);
           }
        }
        if (flags & b2DebugDraw.e_pairBit) {
           color.Set(0.3, 0.9, 0.9);
           for (var contact = this.m_contactManager.m_contactList; contact; contact = contact.GetNext()) {
              var fixtureA = contact.GetFixtureA();
              var fixtureB = contact.GetFixtureB();
              var cA = fixtureA.GetAABB().GetCenter();
              var cB = fixtureB.GetAABB().GetCenter();
              this.m_debugDraw.DrawSegment(cA, cB, color);
           }
        }
        if (flags & b2DebugDraw.e_aabbBit) {
           bp = this.m_contactManager.m_broadPhase;
           vs = [new b2Vec2(), new b2Vec2(), new b2Vec2(), new b2Vec2()];
           for (b = this.m_bodyList;
           b; b = b.GetNext()) {
              if (b.IsActive() == false) {
                 continue;
              }
              for (f = b.GetFixtureList();
              f; f = f.GetNext()) {
                 var aabb = bp.GetFatAABB(f.m_proxy);
                 vs[0].Set(aabb.lowerBound.x, aabb.lowerBound.y);
                 vs[1].Set(aabb.upperBound.x, aabb.lowerBound.y);
                 vs[2].Set(aabb.upperBound.x, aabb.upperBound.y);
                 vs[3].Set(aabb.lowerBound.x, aabb.upperBound.y);
                 this.m_debugDraw.DrawPolygon(vs, 4, color);
              }
           }
        }
        if (flags & b2DebugDraw.e_centerOfMassBit) {
           for (b = this.m_bodyList;
           b; b = b.m_next) {
              xf = b2World.s_xf;
              xf.R = b.m_xf.R;
              xf.position = b.GetWorldCenter();
              this.m_debugDraw.DrawTransform(xf);
           }
        }
     }
     b2World.prototype.QueryAABB = function (callback, aabb) {
        var __this = this;
        var broadPhase = __this.m_contactManager.m_broadPhase;
  
        function WorldQueryWrapper(proxy) {
           return callback(broadPhase.GetUserData(proxy));
        };
        broadPhase.Query(WorldQueryWrapper, aabb);
     }
     b2World.prototype.QueryShape = function (callback, shape, transform) {
        var __this = this;
        if (transform === undefined) transform = null;
        if (transform == null) {
           transform = new b2Transform();
           transform.SetIdentity();
        }
        var broadPhase = __this.m_contactManager.m_broadPhase;
  
        function WorldQueryWrapper(proxy) {
           var fixture = (broadPhase.GetUserData(proxy) instanceof b2Fixture ? broadPhase.GetUserData(proxy) : null);
           if (b2Shape.TestOverlap(shape, transform, fixture.GetShape(), fixture.GetBody().GetTransform())) return callback(fixture);
           return true;
        };
        var aabb = new b2AABB();
        shape.ComputeAABB(aabb, transform);
        broadPhase.Query(WorldQueryWrapper, aabb);
     }
     b2World.prototype.QueryPoint = function (callback, p) {
        var __this = this;
        var broadPhase = __this.m_contactManager.m_broadPhase;
  
        function WorldQueryWrapper(proxy) {
           var fixture = (broadPhase.GetUserData(proxy) instanceof b2Fixture ? broadPhase.GetUserData(proxy) : null);
           if (fixture.TestPoint(p)) return callback(fixture);
           return true;
        };
        var aabb = new b2AABB();
        aabb.lowerBound.Set(p.x - b2Settings.b2_linearSlop, p.y - b2Settings.b2_linearSlop);
        aabb.upperBound.Set(p.x + b2Settings.b2_linearSlop, p.y + b2Settings.b2_linearSlop);
        broadPhase.Query(WorldQueryWrapper, aabb);
     }
     b2World.prototype.RayCast = function (callback, point1, point2) {
        var __this = this;
        var broadPhase = __this.m_contactManager.m_broadPhase;
        var output = new b2RayCastOutput;
  
        function RayCastWrapper(input, proxy) {
           var userData = broadPhase.GetUserData(proxy);
           var fixture = (userData instanceof b2Fixture ? userData : null);
           var hit = fixture.RayCast(output, input);
           if (hit) {
              var fraction = output.fraction;
              var point = new b2Vec2((1.0 - fraction) * point1.x + fraction * point2.x, (1.0 - fraction) * point1.y + fraction * point2.y);
              return callback(fixture, point, output.normal, fraction);
           }
           return input.maxFraction;
        };
        var input = new b2RayCastInput(point1, point2);
        broadPhase.RayCast(RayCastWrapper, input);
     }
     b2World.prototype.RayCastOne = function (point1, point2) {
        var __this = this;
        var result;
  
        function RayCastOneWrapper(fixture, point, normal, fraction) {
           if (fraction === undefined) fraction = 0;
           result = fixture;
           return fraction;
        };
        __this.RayCast(RayCastOneWrapper, point1, point2);
        return result;
     }
     b2World.prototype.RayCastAll = function (point1, point2) {
        var __this = this;
        var result = new Vector();
  
        function RayCastAllWrapper(fixture, point, normal, fraction) {
           if (fraction === undefined) fraction = 0;
           result[result.length] = fixture;
           return 1;
        };
        __this.RayCast(RayCastAllWrapper, point1, point2);
        return result;
     }
     b2World.prototype.GetBodyList = function () {
        return this.m_bodyList;
     }
     b2World.prototype.GetJointList = function () {
        return this.m_jointList;
     }
     b2World.prototype.GetContactList = function () {
        return this.m_contactList;
     }
     b2World.prototype.IsLocked = function () {
        return (this.m_flags & b2World.e_locked) > 0;
     }
     b2World.prototype.Solve = function (step) {
        var b;
        for (var controller = this.m_controllerList; controller; controller = controller.m_next) {
           controller.Step(step);
        }
        var island = this.m_island;
        island.Initialize(this.m_bodyCount, this.m_contactCount, this.m_jointCount, null, this.m_contactManager.m_contactListener, this.m_contactSolver);
        for (b = this.m_bodyList;
        b; b = b.m_next) {
           b.m_flags &= ~b2Body.e_islandFlag;
        }
        for (var c = this.m_contactList; c; c = c.m_next) {
           c.m_flags &= ~b2Contact.e_islandFlag;
        }
        for (var j = this.m_jointList; j; j = j.m_next) {
           j.m_islandFlag = false;
        }
        var stackSize = parseInt(this.m_bodyCount);
        var stack = this.s_stack;
        for (var seed = this.m_bodyList; seed; seed = seed.m_next) {
           if (seed.m_flags & b2Body.e_islandFlag) {
              continue;
           }
           if (seed.IsAwake() == false || seed.IsActive() == false) {
              continue;
           }
           if (seed.GetType() == b2Body.b2_staticBody) {
              continue;
           }
           island.Clear();
           var stackCount = 0;
           stack[stackCount++] = seed;
           seed.m_flags |= b2Body.e_islandFlag;
           while (stackCount > 0) {
              b = stack[--stackCount];
              island.AddBody(b);
              if (b.IsAwake() == false) {
                 b.SetAwake(true);
              }
              if (b.GetType() == b2Body.b2_staticBody) {
                 continue;
              }
              var other;
              for (var ce = b.m_contactList; ce; ce = ce.next) {
                 if (ce.contact.m_flags & b2Contact.e_islandFlag) {
                    continue;
                 }
                 if (ce.contact.IsSensor() == true || ce.contact.IsEnabled() == false || ce.contact.IsTouching() == false) {
                    continue;
                 }
                 island.AddContact(ce.contact);
                 ce.contact.m_flags |= b2Contact.e_islandFlag;
                 other = ce.other;
                 if (other.m_flags & b2Body.e_islandFlag) {
                    continue;
                 }
                 stack[stackCount++] = other;
                 other.m_flags |= b2Body.e_islandFlag;
              }
              for (var jn = b.m_jointList; jn; jn = jn.next) {
                 if (jn.joint.m_islandFlag == true) {
                    continue;
                 }
                 other = jn.other;
                 if (other.IsActive() == false) {
                    continue;
                 }
                 island.AddJoint(jn.joint);
                 jn.joint.m_islandFlag = true;
                 if (other.m_flags & b2Body.e_islandFlag) {
                    continue;
                 }
                 stack[stackCount++] = other;
                 other.m_flags |= b2Body.e_islandFlag;
              }
           }
           island.Solve(step, this.m_gravity, this.m_allowSleep);
           for (var i = 0; i < island.m_bodyCount; ++i) {
              b = island.m_bodies[i];
              if (b.GetType() == b2Body.b2_staticBody) {
                 b.m_flags &= ~b2Body.e_islandFlag;
              }
           }
        }
        for (i = 0;
        i < stack.length; ++i) {
           if (!stack[i]) break;
           stack[i] = null;
        }
        for (b = this.m_bodyList;
        b; b = b.m_next) {
           if (b.IsAwake() == false || b.IsActive() == false) {
              continue;
           }
           if (b.GetType() == b2Body.b2_staticBody) {
              continue;
           }
           b.SynchronizeFixtures();
        }
        this.m_contactManager.FindNewContacts();
     }
     b2World.prototype.SolveTOI = function (step) {
        var b;
        var fA;
        var fB;
        var bA;
        var bB;
        var cEdge;
        var j;
        var island = this.m_island;
        island.Initialize(this.m_bodyCount, b2Settings.b2_maxTOIContactsPerIsland, b2Settings.b2_maxTOIJointsPerIsland, null, this.m_contactManager.m_contactListener, this.m_contactSolver);
        var queue = b2World.s_queue;
        for (b = this.m_bodyList;
        b; b = b.m_next) {
           b.m_flags &= ~b2Body.e_islandFlag;
           b.m_sweep.t0 = 0.0;
        }
        var c;
        for (c = this.m_contactList;
        c; c = c.m_next) {
           c.m_flags &= ~ (b2Contact.e_toiFlag | b2Contact.e_islandFlag);
        }
        for (j = this.m_jointList;
        j; j = j.m_next) {
           j.m_islandFlag = false;
        }
        for (;;) {
           var minContact = null;
           var minTOI = 1.0;
           for (c = this.m_contactList;
           c; c = c.m_next) {
              if (c.IsSensor() == true || c.IsEnabled() == false || c.IsContinuous() == false) {
                 continue;
              }
              var toi = 1.0;
              if (c.m_flags & b2Contact.e_toiFlag) {
                 toi = c.m_toi;
              }
              else {
                 fA = c.m_fixtureA;
                 fB = c.m_fixtureB;
                 bA = fA.m_body;
                 bB = fB.m_body;
                 if ((bA.GetType() != b2Body.b2_dynamicBody || bA.IsAwake() == false) && (bB.GetType() != b2Body.b2_dynamicBody || bB.IsAwake() == false)) {
                    continue;
                 }
                 var t0 = bA.m_sweep.t0;
                 if (bA.m_sweep.t0 < bB.m_sweep.t0) {
                    t0 = bB.m_sweep.t0;
                    bA.m_sweep.Advance(t0);
                 }
                 else if (bB.m_sweep.t0 < bA.m_sweep.t0) {
                    t0 = bA.m_sweep.t0;
                    bB.m_sweep.Advance(t0);
                 }
                 toi = c.ComputeTOI(bA.m_sweep, bB.m_sweep);
                 b2Settings.b2Assert(0.0 <= toi && toi <= 1.0);
                 if (toi > 0.0 && toi < 1.0) {
                    toi = (1.0 - toi) * t0 + toi;
                    if (toi > 1) toi = 1;
                 }
                 c.m_toi = toi;
                 c.m_flags |= b2Contact.e_toiFlag;
              }
              if (Number.MIN_VALUE < toi && toi < minTOI) {
                 minContact = c;
                 minTOI = toi;
              }
           }
           if (minContact == null || 1.0 - 100.0 * Number.MIN_VALUE < minTOI) {
              break;
           }
           fA = minContact.m_fixtureA;
           fB = minContact.m_fixtureB;
           bA = fA.m_body;
           bB = fB.m_body;
           b2World.s_backupA.Set(bA.m_sweep);
           b2World.s_backupB.Set(bB.m_sweep);
           bA.Advance(minTOI);
           bB.Advance(minTOI);
           minContact.Update(this.m_contactManager.m_contactListener);
           minContact.m_flags &= ~b2Contact.e_toiFlag;
           if (minContact.IsSensor() == true || minContact.IsEnabled() == false) {
              bA.m_sweep.Set(b2World.s_backupA);
              bB.m_sweep.Set(b2World.s_backupB);
              bA.SynchronizeTransform();
              bB.SynchronizeTransform();
              continue;
           }
           if (minContact.IsTouching() == false) {
              continue;
           }
           var seed = bA;
           if (seed.GetType() != b2Body.b2_dynamicBody) {
              seed = bB;
           }
           island.Clear();
           var queueStart = 0;
           var queueSize = 0;
           queue[queueStart + queueSize++] = seed;
           seed.m_flags |= b2Body.e_islandFlag;
           while (queueSize > 0) {
              b = queue[queueStart++];
              --queueSize;
              island.AddBody(b);
              if (b.IsAwake() == false) {
                 b.SetAwake(true);
              }
              if (b.GetType() != b2Body.b2_dynamicBody) {
                 continue;
              }
              for (cEdge = b.m_contactList;
              cEdge; cEdge = cEdge.next) {
                 if (island.m_contactCount == island.m_contactCapacity) {
                    break;
                 }
                 if (cEdge.contact.m_flags & b2Contact.e_islandFlag) {
                    continue;
                 }
                 if (cEdge.contact.IsSensor() == true || cEdge.contact.IsEnabled() == false || cEdge.contact.IsTouching() == false) {
                    continue;
                 }
                 island.AddContact(cEdge.contact);
                 cEdge.contact.m_flags |= b2Contact.e_islandFlag;
                 var other = cEdge.other;
                 if (other.m_flags & b2Body.e_islandFlag) {
                    continue;
                 }
                 if (other.GetType() != b2Body.b2_staticBody) {
                    other.Advance(minTOI);
                    other.SetAwake(true);
                 }
                 queue[queueStart + queueSize] = other;
                 ++queueSize;
                 other.m_flags |= b2Body.e_islandFlag;
              }
              for (var jEdge = b.m_jointList; jEdge; jEdge = jEdge.next) {
                 if (island.m_jointCount == island.m_jointCapacity) continue;
                 if (jEdge.joint.m_islandFlag == true) continue;
                 other = jEdge.other;
                 if (other.IsActive() == false) {
                    continue;
                 }
                 island.AddJoint(jEdge.joint);
                 jEdge.joint.m_islandFlag = true;
                 if (other.m_flags & b2Body.e_islandFlag) continue;
                 if (other.GetType() != b2Body.b2_staticBody) {
                    other.Advance(minTOI);
                    other.SetAwake(true);
                 }
                 queue[queueStart + queueSize] = other;
                 ++queueSize;
                 other.m_flags |= b2Body.e_islandFlag;
              }
           }
           var subStep = b2World.s_timestep;
           subStep.warmStarting = false;
           subStep.dt = (1.0 - minTOI) * step.dt;
           subStep.inv_dt = 1.0 / subStep.dt;
           subStep.dtRatio = 0.0;
           subStep.velocityIterations = step.velocityIterations;
           subStep.positionIterations = step.positionIterations;
           island.SolveTOI(subStep);
           var i = 0;
           for (i = 0;
           i < island.m_bodyCount; ++i) {
              b = island.m_bodies[i];
              b.m_flags &= ~b2Body.e_islandFlag;
              if (b.IsAwake() == false) {
                 continue;
              }
              if (b.GetType() != b2Body.b2_dynamicBody) {
                 continue;
              }
              b.SynchronizeFixtures();
              for (cEdge = b.m_contactList;
              cEdge; cEdge = cEdge.next) {
                 cEdge.contact.m_flags &= ~b2Contact.e_toiFlag;
              }
           }
           for (i = 0;
           i < island.m_contactCount; ++i) {
              c = island.m_contacts[i];
              c.m_flags &= ~ (b2Contact.e_toiFlag | b2Contact.e_islandFlag);
           }
           for (i = 0;
           i < island.m_jointCount; ++i) {
              j = island.m_joints[i];
              j.m_islandFlag = false;
           }
           this.m_contactManager.FindNewContacts();
        }
     }
     b2World.prototype.DrawJoint = function (joint) {
        var b1 = joint.GetBodyA();
        var b2 = joint.GetBodyB();
        var xf1 = b1.m_xf;
        var xf2 = b2.m_xf;
        var x1 = xf1.position;
        var x2 = xf2.position;
        var p1 = joint.GetAnchorA();
        var p2 = joint.GetAnchorB();
        var color = b2World.s_jointColor;
        switch (joint.m_type) {
        case b2Joint.e_distanceJoint:
           this.m_debugDraw.DrawSegment(p1, p2, color);
           break;
        case b2Joint.e_pulleyJoint:
           {
              var pulley = ((joint instanceof b2PulleyJoint ? joint : null));
              var s1 = pulley.GetGroundAnchorA();
              var s2 = pulley.GetGroundAnchorB();
              this.m_debugDraw.DrawSegment(s1, p1, color);
              this.m_debugDraw.DrawSegment(s2, p2, color);
              this.m_debugDraw.DrawSegment(s1, s2, color);
           }
           break;
        case b2Joint.e_mouseJoint:
           this.m_debugDraw.DrawSegment(p1, p2, color);
           break;
        default:
           if (b1 != this.m_groundBody) this.m_debugDraw.DrawSegment(x1, p1, color);
           this.m_debugDraw.DrawSegment(p1, p2, color);
           if (b2 != this.m_groundBody) this.m_debugDraw.DrawSegment(x2, p2, color);
        }
     }
     b2World.prototype.DrawShape = function (shape, xf, color) {
        switch (shape.m_type) {
        case b2Shape.e_circleShape:
           {
              var circle = ((shape instanceof b2CircleShape ? shape : null));
              var center = b2Math.MulX(xf, circle.m_p);
              var radius = circle.m_radius;
              var axis = xf.R.col1;
              this.m_debugDraw.DrawSolidCircle(center, radius, axis, color);
           }
           break;
        case b2Shape.e_polygonShape:
           {
              var i = 0;
              var poly = ((shape instanceof b2PolygonShape ? shape : null));
              var vertexCount = parseInt(poly.GetVertexCount());
              var localVertices = poly.GetVertices();
              var vertices = new Vector(vertexCount);
              for (i = 0;
              i < vertexCount; ++i) {
                 vertices[i] = b2Math.MulX(xf, localVertices[i]);
              }
              this.m_debugDraw.DrawSolidPolygon(vertices, vertexCount, color);
           }
           break;
        case b2Shape.e_edgeShape:
           {
              var edge = (shape instanceof b2EdgeShape ? shape : null);
              this.m_debugDraw.DrawSegment(b2Math.MulX(xf, edge.GetVertex1()), b2Math.MulX(xf, edge.GetVertex2()), color);
           }
           break;
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.b2World.s_timestep2 = new b2TimeStep();
        Box2D.Dynamics.b2World.s_xf = new b2Transform();
        Box2D.Dynamics.b2World.s_backupA = new b2Sweep();
        Box2D.Dynamics.b2World.s_backupB = new b2Sweep();
        Box2D.Dynamics.b2World.s_timestep = new b2TimeStep();
        Box2D.Dynamics.b2World.s_queue = new Vector();
        Box2D.Dynamics.b2World.s_jointColor = new b2Color(0.5, 0.8, 0.8);
        Box2D.Dynamics.b2World.e_newFixture = 0x0001;
        Box2D.Dynamics.b2World.e_locked = 0x0002;
     });
  })();
  (function () {
     var b2CircleShape = Box2D.Collision.Shapes.b2CircleShape,
        b2EdgeChainDef = Box2D.Collision.Shapes.b2EdgeChainDef,
        b2EdgeShape = Box2D.Collision.Shapes.b2EdgeShape,
        b2MassData = Box2D.Collision.Shapes.b2MassData,
        b2PolygonShape = Box2D.Collision.Shapes.b2PolygonShape,
        b2Shape = Box2D.Collision.Shapes.b2Shape,
        b2CircleContact = Box2D.Dynamics.Contacts.b2CircleContact,
        b2Contact = Box2D.Dynamics.Contacts.b2Contact,
        b2ContactConstraint = Box2D.Dynamics.Contacts.b2ContactConstraint,
        b2ContactConstraintPoint = Box2D.Dynamics.Contacts.b2ContactConstraintPoint,
        b2ContactEdge = Box2D.Dynamics.Contacts.b2ContactEdge,
        b2ContactFactory = Box2D.Dynamics.Contacts.b2ContactFactory,
        b2ContactRegister = Box2D.Dynamics.Contacts.b2ContactRegister,
        b2ContactResult = Box2D.Dynamics.Contacts.b2ContactResult,
        b2ContactSolver = Box2D.Dynamics.Contacts.b2ContactSolver,
        b2EdgeAndCircleContact = Box2D.Dynamics.Contacts.b2EdgeAndCircleContact,
        b2NullContact = Box2D.Dynamics.Contacts.b2NullContact,
        b2PolyAndCircleContact = Box2D.Dynamics.Contacts.b2PolyAndCircleContact,
        b2PolyAndEdgeContact = Box2D.Dynamics.Contacts.b2PolyAndEdgeContact,
        b2PolygonContact = Box2D.Dynamics.Contacts.b2PolygonContact,
        b2PositionSolverManifold = Box2D.Dynamics.Contacts.b2PositionSolverManifold,
        b2Body = Box2D.Dynamics.b2Body,
        b2BodyDef = Box2D.Dynamics.b2BodyDef,
        b2ContactFilter = Box2D.Dynamics.b2ContactFilter,
        b2ContactImpulse = Box2D.Dynamics.b2ContactImpulse,
        b2ContactListener = Box2D.Dynamics.b2ContactListener,
        b2ContactManager = Box2D.Dynamics.b2ContactManager,
        b2DebugDraw = Box2D.Dynamics.b2DebugDraw,
        b2DestructionListener = Box2D.Dynamics.b2DestructionListener,
        b2FilterData = Box2D.Dynamics.b2FilterData,
        b2Fixture = Box2D.Dynamics.b2Fixture,
        b2FixtureDef = Box2D.Dynamics.b2FixtureDef,
        b2Island = Box2D.Dynamics.b2Island,
        b2TimeStep = Box2D.Dynamics.b2TimeStep,
        b2World = Box2D.Dynamics.b2World,
        b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2AABB = Box2D.Collision.b2AABB,
        b2Bound = Box2D.Collision.b2Bound,
        b2BoundValues = Box2D.Collision.b2BoundValues,
        b2Collision = Box2D.Collision.b2Collision,
        b2ContactID = Box2D.Collision.b2ContactID,
        b2ContactPoint = Box2D.Collision.b2ContactPoint,
        b2Distance = Box2D.Collision.b2Distance,
        b2DistanceInput = Box2D.Collision.b2DistanceInput,
        b2DistanceOutput = Box2D.Collision.b2DistanceOutput,
        b2DistanceProxy = Box2D.Collision.b2DistanceProxy,
        b2DynamicTree = Box2D.Collision.b2DynamicTree,
        b2DynamicTreeBroadPhase = Box2D.Collision.b2DynamicTreeBroadPhase,
        b2DynamicTreeNode = Box2D.Collision.b2DynamicTreeNode,
        b2DynamicTreePair = Box2D.Collision.b2DynamicTreePair,
        b2Manifold = Box2D.Collision.b2Manifold,
        b2ManifoldPoint = Box2D.Collision.b2ManifoldPoint,
        b2Point = Box2D.Collision.b2Point,
        b2RayCastInput = Box2D.Collision.b2RayCastInput,
        b2RayCastOutput = Box2D.Collision.b2RayCastOutput,
        b2Segment = Box2D.Collision.b2Segment,
        b2SeparationFunction = Box2D.Collision.b2SeparationFunction,
        b2Simplex = Box2D.Collision.b2Simplex,
        b2SimplexCache = Box2D.Collision.b2SimplexCache,
        b2SimplexVertex = Box2D.Collision.b2SimplexVertex,
        b2TimeOfImpact = Box2D.Collision.b2TimeOfImpact,
        b2TOIInput = Box2D.Collision.b2TOIInput,
        b2WorldManifold = Box2D.Collision.b2WorldManifold,
        ClipVertex = Box2D.Collision.ClipVertex,
        Features = Box2D.Collision.Features,
        IBroadPhase = Box2D.Collision.IBroadPhase;
  
     Box2D.inherit(b2CircleContact, Box2D.Dynamics.Contacts.b2Contact);
     b2CircleContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2CircleContact.b2CircleContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2CircleContact.Create = function (allocator) {
        return new b2CircleContact();
     }
     b2CircleContact.Destroy = function (contact, allocator) {}
     b2CircleContact.prototype.Reset = function (fixtureA, fixtureB) {
        this.__super.Reset.call(this, fixtureA, fixtureB);
     }
     b2CircleContact.prototype.Evaluate = function () {
        var bA = this.m_fixtureA.GetBody();
        var bB = this.m_fixtureB.GetBody();
        b2Collision.CollideCircles(this.m_manifold, (this.m_fixtureA.GetShape() instanceof b2CircleShape ? this.m_fixtureA.GetShape() : null), bA.m_xf, (this.m_fixtureB.GetShape() instanceof b2CircleShape ? this.m_fixtureB.GetShape() : null), bB.m_xf);
     }
     b2Contact.b2Contact = function () {
        this.m_nodeA = new b2ContactEdge();
        this.m_nodeB = new b2ContactEdge();
        this.m_manifold = new b2Manifold();
        this.m_oldManifold = new b2Manifold();
     };
     b2Contact.prototype.GetManifold = function () {
        return this.m_manifold;
     }
     b2Contact.prototype.GetWorldManifold = function (worldManifold) {
        var bodyA = this.m_fixtureA.GetBody();
        var bodyB = this.m_fixtureB.GetBody();
        var shapeA = this.m_fixtureA.GetShape();
        var shapeB = this.m_fixtureB.GetShape();
        worldManifold.Initialize(this.m_manifold, bodyA.GetTransform(), shapeA.m_radius, bodyB.GetTransform(), shapeB.m_radius);
     }
     b2Contact.prototype.IsTouching = function () {
        return (this.m_flags & b2Contact.e_touchingFlag) == b2Contact.e_touchingFlag;
     }
     b2Contact.prototype.IsContinuous = function () {
        return (this.m_flags & b2Contact.e_continuousFlag) == b2Contact.e_continuousFlag;
     }
     b2Contact.prototype.SetSensor = function (sensor) {
        if (sensor) {
           this.m_flags |= b2Contact.e_sensorFlag;
        }
        else {
           this.m_flags &= ~b2Contact.e_sensorFlag;
        }
     }
     b2Contact.prototype.IsSensor = function () {
        return (this.m_flags & b2Contact.e_sensorFlag) == b2Contact.e_sensorFlag;
     }
     b2Contact.prototype.SetEnabled = function (flag) {
        if (flag) {
           this.m_flags |= b2Contact.e_enabledFlag;
        }
        else {
           this.m_flags &= ~b2Contact.e_enabledFlag;
        }
     }
     b2Contact.prototype.IsEnabled = function () {
        return (this.m_flags & b2Contact.e_enabledFlag) == b2Contact.e_enabledFlag;
     }
     b2Contact.prototype.GetNext = function () {
        return this.m_next;
     }
     b2Contact.prototype.GetFixtureA = function () {
        return this.m_fixtureA;
     }
     b2Contact.prototype.GetFixtureB = function () {
        return this.m_fixtureB;
     }
     b2Contact.prototype.FlagForFiltering = function () {
        this.m_flags |= b2Contact.e_filterFlag;
     }
     b2Contact.prototype.b2Contact = function () {}
     b2Contact.prototype.Reset = function (fixtureA, fixtureB) {
        if (fixtureA === undefined) fixtureA = null;
        if (fixtureB === undefined) fixtureB = null;
        this.m_flags = b2Contact.e_enabledFlag;
        if (!fixtureA || !fixtureB) {
           this.m_fixtureA = null;
           this.m_fixtureB = null;
           return;
        }
        if (fixtureA.IsSensor() || fixtureB.IsSensor()) {
           this.m_flags |= b2Contact.e_sensorFlag;
        }
        var bodyA = fixtureA.GetBody();
        var bodyB = fixtureB.GetBody();
        if (bodyA.GetType() != b2Body.b2_dynamicBody || bodyA.IsBullet() || bodyB.GetType() != b2Body.b2_dynamicBody || bodyB.IsBullet()) {
           this.m_flags |= b2Contact.e_continuousFlag;
        }
        this.m_fixtureA = fixtureA;
        this.m_fixtureB = fixtureB;
        this.m_manifold.m_pointCount = 0;
        this.m_prev = null;
        this.m_next = null;
        this.m_nodeA.contact = null;
        this.m_nodeA.prev = null;
        this.m_nodeA.next = null;
        this.m_nodeA.other = null;
        this.m_nodeB.contact = null;
        this.m_nodeB.prev = null;
        this.m_nodeB.next = null;
        this.m_nodeB.other = null;
     }
     b2Contact.prototype.Update = function (listener) {
        var tManifold = this.m_oldManifold;
        this.m_oldManifold = this.m_manifold;
        this.m_manifold = tManifold;
        this.m_flags |= b2Contact.e_enabledFlag;
        var touching = false;
        var wasTouching = (this.m_flags & b2Contact.e_touchingFlag) == b2Contact.e_touchingFlag;
        var bodyA = this.m_fixtureA.m_body;
        var bodyB = this.m_fixtureB.m_body;
        var aabbOverlap = this.m_fixtureA.m_aabb.TestOverlap(this.m_fixtureB.m_aabb);
        if (this.m_flags & b2Contact.e_sensorFlag) {
           if (aabbOverlap) {
              var shapeA = this.m_fixtureA.GetShape();
              var shapeB = this.m_fixtureB.GetShape();
              var xfA = bodyA.GetTransform();
              var xfB = bodyB.GetTransform();
              touching = b2Shape.TestOverlap(shapeA, xfA, shapeB, xfB);
           }
           this.m_manifold.m_pointCount = 0;
        }
        else {
           if (bodyA.GetType() != b2Body.b2_dynamicBody || bodyA.IsBullet() || bodyB.GetType() != b2Body.b2_dynamicBody || bodyB.IsBullet()) {
              this.m_flags |= b2Contact.e_continuousFlag;
           }
           else {
              this.m_flags &= ~b2Contact.e_continuousFlag;
           }
           if (aabbOverlap) {
              this.Evaluate();
              touching = this.m_manifold.m_pointCount > 0;
              for (var i = 0; i < this.m_manifold.m_pointCount; ++i) {
                 var mp2 = this.m_manifold.m_points[i];
                 mp2.m_normalImpulse = 0.0;
                 mp2.m_tangentImpulse = 0.0;
                 var id2 = mp2.m_id;
                 for (var j = 0; j < this.m_oldManifold.m_pointCount; ++j) {
                    var mp1 = this.m_oldManifold.m_points[j];
                    if (mp1.m_id.key == id2.key) {
                       mp2.m_normalImpulse = mp1.m_normalImpulse;
                       mp2.m_tangentImpulse = mp1.m_tangentImpulse;
                       break;
                    }
                 }
              }
           }
           else {
              this.m_manifold.m_pointCount = 0;
           }
           if (touching != wasTouching) {
              bodyA.SetAwake(true);
              bodyB.SetAwake(true);
           }
        }
        if (touching) {
           this.m_flags |= b2Contact.e_touchingFlag;
        }
        else {
           this.m_flags &= ~b2Contact.e_touchingFlag;
        }
        if (wasTouching == false && touching == true) {
           listener.BeginContact(this);
        }
        if (wasTouching == true && touching == false) {
           listener.EndContact(this);
        }
        if ((this.m_flags & b2Contact.e_sensorFlag) == 0) {
           listener.PreSolve(this, this.m_oldManifold);
        }
     }
     b2Contact.prototype.Evaluate = function () {}
     b2Contact.prototype.ComputeTOI = function (sweepA, sweepB) {
        b2Contact.s_input.proxyA.Set(this.m_fixtureA.GetShape());
        b2Contact.s_input.proxyB.Set(this.m_fixtureB.GetShape());
        b2Contact.s_input.sweepA = sweepA;
        b2Contact.s_input.sweepB = sweepB;
        b2Contact.s_input.tolerance = b2Settings.b2_linearSlop;
        return b2TimeOfImpact.TimeOfImpact(b2Contact.s_input);
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Contacts.b2Contact.e_sensorFlag = 0x0001;
        Box2D.Dynamics.Contacts.b2Contact.e_continuousFlag = 0x0002;
        Box2D.Dynamics.Contacts.b2Contact.e_islandFlag = 0x0004;
        Box2D.Dynamics.Contacts.b2Contact.e_toiFlag = 0x0008;
        Box2D.Dynamics.Contacts.b2Contact.e_touchingFlag = 0x0010;
        Box2D.Dynamics.Contacts.b2Contact.e_enabledFlag = 0x0020;
        Box2D.Dynamics.Contacts.b2Contact.e_filterFlag = 0x0040;
        Box2D.Dynamics.Contacts.b2Contact.s_input = new b2TOIInput();
     });
     b2ContactConstraint.b2ContactConstraint = function () {
        this.localPlaneNormal = new b2Vec2();
        this.localPoint = new b2Vec2();
        this.normal = new b2Vec2();
        this.normalMass = new b2Mat22();
        this.K = new b2Mat22();
     };
     b2ContactConstraint.prototype.b2ContactConstraint = function () {
        this.points = new Vector(b2Settings.b2_maxManifoldPoints);
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           this.points[i] = new b2ContactConstraintPoint();
        }
     }
     b2ContactConstraintPoint.b2ContactConstraintPoint = function () {
        this.localPoint = new b2Vec2();
        this.rA = new b2Vec2();
        this.rB = new b2Vec2();
     };
     b2ContactEdge.b2ContactEdge = function () {};
     b2ContactFactory.b2ContactFactory = function () {};
     b2ContactFactory.prototype.b2ContactFactory = function (allocator) {
        this.m_allocator = allocator;
        this.InitializeRegisters();
     }
     b2ContactFactory.prototype.AddType = function (createFcn, destroyFcn, type1, type2) {
        if (type1 === undefined) type1 = 0;
        if (type2 === undefined) type2 = 0;
        this.m_registers[type1][type2].createFcn = createFcn;
        this.m_registers[type1][type2].destroyFcn = destroyFcn;
        this.m_registers[type1][type2].primary = true;
        if (type1 != type2) {
           this.m_registers[type2][type1].createFcn = createFcn;
           this.m_registers[type2][type1].destroyFcn = destroyFcn;
           this.m_registers[type2][type1].primary = false;
        }
     }
     b2ContactFactory.prototype.InitializeRegisters = function () {
        this.m_registers = new Vector(b2Shape.e_shapeTypeCount);
        for (var i = 0; i < b2Shape.e_shapeTypeCount; i++) {
           this.m_registers[i] = new Vector(b2Shape.e_shapeTypeCount);
           for (var j = 0; j < b2Shape.e_shapeTypeCount; j++) {
              this.m_registers[i][j] = new b2ContactRegister();
           }
        }
        this.AddType(b2CircleContact.Create, b2CircleContact.Destroy, b2Shape.e_circleShape, b2Shape.e_circleShape);
        this.AddType(b2PolyAndCircleContact.Create, b2PolyAndCircleContact.Destroy, b2Shape.e_polygonShape, b2Shape.e_circleShape);
        this.AddType(b2PolygonContact.Create, b2PolygonContact.Destroy, b2Shape.e_polygonShape, b2Shape.e_polygonShape);
        this.AddType(b2EdgeAndCircleContact.Create, b2EdgeAndCircleContact.Destroy, b2Shape.e_edgeShape, b2Shape.e_circleShape);
        this.AddType(b2PolyAndEdgeContact.Create, b2PolyAndEdgeContact.Destroy, b2Shape.e_polygonShape, b2Shape.e_edgeShape);
     }
     b2ContactFactory.prototype.Create = function (fixtureA, fixtureB) {
        var type1 = parseInt(fixtureA.GetType());
        var type2 = parseInt(fixtureB.GetType());
        var reg = this.m_registers[type1][type2];
        var c;
        if (reg.pool) {
           c = reg.pool;
           reg.pool = c.m_next;
           reg.poolCount--;
           c.Reset(fixtureA, fixtureB);
           return c;
        }
        var createFcn = reg.createFcn;
        if (createFcn != null) {
           if (reg.primary) {
              c = createFcn(this.m_allocator);
              c.Reset(fixtureA, fixtureB);
              return c;
           }
           else {
              c = createFcn(this.m_allocator);
              c.Reset(fixtureB, fixtureA);
              return c;
           }
        }
        else {
           return null;
        }
     }
     b2ContactFactory.prototype.Destroy = function (contact) {
        if (contact.m_manifold.m_pointCount > 0) {
           contact.m_fixtureA.m_body.SetAwake(true);
           contact.m_fixtureB.m_body.SetAwake(true);
        }
        var type1 = parseInt(contact.m_fixtureA.GetType());
        var type2 = parseInt(contact.m_fixtureB.GetType());
        var reg = this.m_registers[type1][type2];
        if (true) {
           reg.poolCount++;
           contact.m_next = reg.pool;
           reg.pool = contact;
        }
        var destroyFcn = reg.destroyFcn;
        destroyFcn(contact, this.m_allocator);
     }
     b2ContactRegister.b2ContactRegister = function () {};
     b2ContactResult.b2ContactResult = function () {
        this.position = new b2Vec2();
        this.normal = new b2Vec2();
        this.id = new b2ContactID();
     };
     b2ContactSolver.b2ContactSolver = function () {
        this.m_step = new b2TimeStep();
        this.m_constraints = new Vector();
     };
     b2ContactSolver.prototype.b2ContactSolver = function () {}
     b2ContactSolver.prototype.Initialize = function (step, contacts, contactCount, allocator) {
        if (contactCount === undefined) contactCount = 0;
        var contact;
        this.m_step.Set(step);
        this.m_allocator = allocator;
        var i = 0;
        var tVec;
        var tMat;
        this.m_constraintCount = contactCount;
        while (this.m_constraints.length < this.m_constraintCount) {
           this.m_constraints[this.m_constraints.length] = new b2ContactConstraint();
        }
        for (i = 0;
        i < contactCount; ++i) {
           contact = contacts[i];
           var fixtureA = contact.m_fixtureA;
           var fixtureB = contact.m_fixtureB;
           var shapeA = fixtureA.m_shape;
           var shapeB = fixtureB.m_shape;
           var radiusA = shapeA.m_radius;
           var radiusB = shapeB.m_radius;
           var bodyA = fixtureA.m_body;
           var bodyB = fixtureB.m_body;
           var manifold = contact.GetManifold();
           var friction = b2Settings.b2MixFriction(fixtureA.GetFriction(), fixtureB.GetFriction());
           var restitution = b2Settings.b2MixRestitution(fixtureA.GetRestitution(), fixtureB.GetRestitution());
           var vAX = bodyA.m_linearVelocity.x;
           var vAY = bodyA.m_linearVelocity.y;
           var vBX = bodyB.m_linearVelocity.x;
           var vBY = bodyB.m_linearVelocity.y;
           var wA = bodyA.m_angularVelocity;
           var wB = bodyB.m_angularVelocity;
           b2Settings.b2Assert(manifold.m_pointCount > 0);
           b2ContactSolver.s_worldManifold.Initialize(manifold, bodyA.m_xf, radiusA, bodyB.m_xf, radiusB);
           var normalX = b2ContactSolver.s_worldManifold.m_normal.x;
           var normalY = b2ContactSolver.s_worldManifold.m_normal.y;
           var cc = this.m_constraints[i];
           cc.bodyA = bodyA;
           cc.bodyB = bodyB;
           cc.manifold = manifold;
           cc.normal.x = normalX;
           cc.normal.y = normalY;
           cc.pointCount = manifold.m_pointCount;
           cc.friction = friction;
           cc.restitution = restitution;
           cc.localPlaneNormal.x = manifold.m_localPlaneNormal.x;
           cc.localPlaneNormal.y = manifold.m_localPlaneNormal.y;
           cc.localPoint.x = manifold.m_localPoint.x;
           cc.localPoint.y = manifold.m_localPoint.y;
           cc.radius = radiusA + radiusB;
           cc.type = manifold.m_type;
           for (var k = 0; k < cc.pointCount; ++k) {
              var cp = manifold.m_points[k];
              var ccp = cc.points[k];
              ccp.normalImpulse = cp.m_normalImpulse;
              ccp.tangentImpulse = cp.m_tangentImpulse;
              ccp.localPoint.SetV(cp.m_localPoint);
              var rAX = ccp.rA.x = b2ContactSolver.s_worldManifold.m_points[k].x - bodyA.m_sweep.c.x;
              var rAY = ccp.rA.y = b2ContactSolver.s_worldManifold.m_points[k].y - bodyA.m_sweep.c.y;
              var rBX = ccp.rB.x = b2ContactSolver.s_worldManifold.m_points[k].x - bodyB.m_sweep.c.x;
              var rBY = ccp.rB.y = b2ContactSolver.s_worldManifold.m_points[k].y - bodyB.m_sweep.c.y;
              var rnA = rAX * normalY - rAY * normalX;
              var rnB = rBX * normalY - rBY * normalX;
              rnA *= rnA;
              rnB *= rnB;
              var kNormal = bodyA.m_invMass + bodyB.m_invMass + bodyA.m_invI * rnA + bodyB.m_invI * rnB;
              ccp.normalMass = 1.0 / kNormal;
              var kEqualized = bodyA.m_mass * bodyA.m_invMass + bodyB.m_mass * bodyB.m_invMass;
              kEqualized += bodyA.m_mass * bodyA.m_invI * rnA + bodyB.m_mass * bodyB.m_invI * rnB;
              ccp.equalizedMass = 1.0 / kEqualized;
              var tangentX = normalY;
              var tangentY = (-normalX);
              var rtA = rAX * tangentY - rAY * tangentX;
              var rtB = rBX * tangentY - rBY * tangentX;
              rtA *= rtA;
              rtB *= rtB;
              var kTangent = bodyA.m_invMass + bodyB.m_invMass + bodyA.m_invI * rtA + bodyB.m_invI * rtB;
              ccp.tangentMass = 1.0 / kTangent;
              ccp.velocityBias = 0.0;
              var tX = vBX + ((-wB * rBY)) - vAX - ((-wA * rAY));
              var tY = vBY + (wB * rBX) - vAY - (wA * rAX);
              var vRel = cc.normal.x * tX + cc.normal.y * tY;
              if (vRel < (-b2Settings.b2_velocityThreshold)) {
                 ccp.velocityBias += (-cc.restitution * vRel);
              }
           }
           if (cc.pointCount == 2) {
              var ccp1 = cc.points[0];
              var ccp2 = cc.points[1];
              var invMassA = bodyA.m_invMass;
              var invIA = bodyA.m_invI;
              var invMassB = bodyB.m_invMass;
              var invIB = bodyB.m_invI;
              var rn1A = ccp1.rA.x * normalY - ccp1.rA.y * normalX;
              var rn1B = ccp1.rB.x * normalY - ccp1.rB.y * normalX;
              var rn2A = ccp2.rA.x * normalY - ccp2.rA.y * normalX;
              var rn2B = ccp2.rB.x * normalY - ccp2.rB.y * normalX;
              var k11 = invMassA + invMassB + invIA * rn1A * rn1A + invIB * rn1B * rn1B;
              var k22 = invMassA + invMassB + invIA * rn2A * rn2A + invIB * rn2B * rn2B;
              var k12 = invMassA + invMassB + invIA * rn1A * rn2A + invIB * rn1B * rn2B;
              var k_maxConditionNumber = 100.0;
              if (k11 * k11 < k_maxConditionNumber * (k11 * k22 - k12 * k12)) {
                 cc.K.col1.Set(k11, k12);
                 cc.K.col2.Set(k12, k22);
                 cc.K.GetInverse(cc.normalMass);
              }
              else {
                 cc.pointCount = 1;
              }
           }
        }
     }
     b2ContactSolver.prototype.InitVelocityConstraints = function (step) {
        var tVec;
        var tVec2;
        var tMat;
        for (var i = 0; i < this.m_constraintCount; ++i) {
           var c = this.m_constraints[i];
           var bodyA = c.bodyA;
           var bodyB = c.bodyB;
           var invMassA = bodyA.m_invMass;
           var invIA = bodyA.m_invI;
           var invMassB = bodyB.m_invMass;
           var invIB = bodyB.m_invI;
           var normalX = c.normal.x;
           var normalY = c.normal.y;
           var tangentX = normalY;
           var tangentY = (-normalX);
           var tX = 0;
           var j = 0;
           var tCount = 0;
           if (step.warmStarting) {
              tCount = c.pointCount;
              for (j = 0;
              j < tCount; ++j) {
                 var ccp = c.points[j];
                 ccp.normalImpulse *= step.dtRatio;
                 ccp.tangentImpulse *= step.dtRatio;
                 var PX = ccp.normalImpulse * normalX + ccp.tangentImpulse * tangentX;
                 var PY = ccp.normalImpulse * normalY + ccp.tangentImpulse * tangentY;
                 bodyA.m_angularVelocity -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);
                 bodyA.m_linearVelocity.x -= invMassA * PX;
                 bodyA.m_linearVelocity.y -= invMassA * PY;
                 bodyB.m_angularVelocity += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);
                 bodyB.m_linearVelocity.x += invMassB * PX;
                 bodyB.m_linearVelocity.y += invMassB * PY;
              }
           }
           else {
              tCount = c.pointCount;
              for (j = 0;
              j < tCount; ++j) {
                 var ccp2 = c.points[j];
                 ccp2.normalImpulse = 0.0;
                 ccp2.tangentImpulse = 0.0;
              }
           }
        }
     }
     b2ContactSolver.prototype.SolveVelocityConstraints = function () {
        var j = 0;
        var ccp;
        var rAX = 0;
        var rAY = 0;
        var rBX = 0;
        var rBY = 0;
        var dvX = 0;
        var dvY = 0;
        var vn = 0;
        var vt = 0;
        var lambda = 0;
        var maxFriction = 0;
        var newImpulse = 0;
        var PX = 0;
        var PY = 0;
        var dX = 0;
        var dY = 0;
        var P1X = 0;
        var P1Y = 0;
        var P2X = 0;
        var P2Y = 0;
        var tMat;
        var tVec;
        for (var i = 0; i < this.m_constraintCount; ++i) {
           var c = this.m_constraints[i];
           var bodyA = c.bodyA;
           var bodyB = c.bodyB;
           var wA = bodyA.m_angularVelocity;
           var wB = bodyB.m_angularVelocity;
           var vA = bodyA.m_linearVelocity;
           var vB = bodyB.m_linearVelocity;
           var invMassA = bodyA.m_invMass;
           var invIA = bodyA.m_invI;
           var invMassB = bodyB.m_invMass;
           var invIB = bodyB.m_invI;
           var normalX = c.normal.x;
           var normalY = c.normal.y;
           var tangentX = normalY;
           var tangentY = (-normalX);
           var friction = c.friction;
           var tX = 0;
           for (j = 0;
           j < c.pointCount; j++) {
              ccp = c.points[j];
              dvX = vB.x - wB * ccp.rB.y - vA.x + wA * ccp.rA.y;
              dvY = vB.y + wB * ccp.rB.x - vA.y - wA * ccp.rA.x;
              vt = dvX * tangentX + dvY * tangentY;
              lambda = ccp.tangentMass * (-vt);
              maxFriction = friction * ccp.normalImpulse;
              newImpulse = b2Math.Clamp(ccp.tangentImpulse + lambda, (-maxFriction), maxFriction);
              lambda = newImpulse - ccp.tangentImpulse;
              PX = lambda * tangentX;
              PY = lambda * tangentY;
              vA.x -= invMassA * PX;
              vA.y -= invMassA * PY;
              wA -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);
              vB.x += invMassB * PX;
              vB.y += invMassB * PY;
              wB += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);
              ccp.tangentImpulse = newImpulse;
           }
           var tCount = parseInt(c.pointCount);
           if (c.pointCount == 1) {
              ccp = c.points[0];
              dvX = vB.x + ((-wB * ccp.rB.y)) - vA.x - ((-wA * ccp.rA.y));
              dvY = vB.y + (wB * ccp.rB.x) - vA.y - (wA * ccp.rA.x);
              vn = dvX * normalX + dvY * normalY;
              lambda = (-ccp.normalMass * (vn - ccp.velocityBias));
              newImpulse = ccp.normalImpulse + lambda;
              newImpulse = newImpulse > 0 ? newImpulse : 0.0;
              lambda = newImpulse - ccp.normalImpulse;
              PX = lambda * normalX;
              PY = lambda * normalY;
              vA.x -= invMassA * PX;
              vA.y -= invMassA * PY;
              wA -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);
              vB.x += invMassB * PX;
              vB.y += invMassB * PY;
              wB += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);
              ccp.normalImpulse = newImpulse;
           }
           else {
              var cp1 = c.points[0];
              var cp2 = c.points[1];
              var aX = cp1.normalImpulse;
              var aY = cp2.normalImpulse;
              var dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
              var dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
              var dv2X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
              var dv2Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;
              var vn1 = dv1X * normalX + dv1Y * normalY;
              var vn2 = dv2X * normalX + dv2Y * normalY;
              var bX = vn1 - cp1.velocityBias;
              var bY = vn2 - cp2.velocityBias;
              tMat = c.K;
              bX -= tMat.col1.x * aX + tMat.col2.x * aY;
              bY -= tMat.col1.y * aX + tMat.col2.y * aY;
              var k_errorTol = 0.001;
              for (;;) {
                 tMat = c.normalMass;
                 var xX = (-(tMat.col1.x * bX + tMat.col2.x * bY));
                 var xY = (-(tMat.col1.y * bX + tMat.col2.y * bY));
                 if (xX >= 0.0 && xY >= 0.0) {
                    dX = xX - aX;
                    dY = xY - aY;
                    P1X = dX * normalX;
                    P1Y = dX * normalY;
                    P2X = dY * normalX;
                    P2Y = dY * normalY;
                    vA.x -= invMassA * (P1X + P2X);
                    vA.y -= invMassA * (P1Y + P2Y);
                    wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);
                    vB.x += invMassB * (P1X + P2X);
                    vB.y += invMassB * (P1Y + P2Y);
                    wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);
                    cp1.normalImpulse = xX;
                    cp2.normalImpulse = xY;
                    break;
                 }
                 xX = (-cp1.normalMass * bX);
                 xY = 0.0;
                 vn1 = 0.0;
                 vn2 = c.K.col1.y * xX + bY;
                 if (xX >= 0.0 && vn2 >= 0.0) {
                    dX = xX - aX;
                    dY = xY - aY;
                    P1X = dX * normalX;
                    P1Y = dX * normalY;
                    P2X = dY * normalX;
                    P2Y = dY * normalY;
                    vA.x -= invMassA * (P1X + P2X);
                    vA.y -= invMassA * (P1Y + P2Y);
                    wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);
                    vB.x += invMassB * (P1X + P2X);
                    vB.y += invMassB * (P1Y + P2Y);
                    wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);
                    cp1.normalImpulse = xX;
                    cp2.normalImpulse = xY;
                    break;
                 }
                 xX = 0.0;
                 xY = (-cp2.normalMass * bY);
                 vn1 = c.K.col2.x * xY + bX;
                 vn2 = 0.0;
                 if (xY >= 0.0 && vn1 >= 0.0) {
                    dX = xX - aX;
                    dY = xY - aY;
                    P1X = dX * normalX;
                    P1Y = dX * normalY;
                    P2X = dY * normalX;
                    P2Y = dY * normalY;
                    vA.x -= invMassA * (P1X + P2X);
                    vA.y -= invMassA * (P1Y + P2Y);
                    wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);
                    vB.x += invMassB * (P1X + P2X);
                    vB.y += invMassB * (P1Y + P2Y);
                    wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);
                    cp1.normalImpulse = xX;
                    cp2.normalImpulse = xY;
                    break;
                 }
                 xX = 0.0;
                 xY = 0.0;
                 vn1 = bX;
                 vn2 = bY;
                 if (vn1 >= 0.0 && vn2 >= 0.0) {
                    dX = xX - aX;
                    dY = xY - aY;
                    P1X = dX * normalX;
                    P1Y = dX * normalY;
                    P2X = dY * normalX;
                    P2Y = dY * normalY;
                    vA.x -= invMassA * (P1X + P2X);
                    vA.y -= invMassA * (P1Y + P2Y);
                    wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);
                    vB.x += invMassB * (P1X + P2X);
                    vB.y += invMassB * (P1Y + P2Y);
                    wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);
                    cp1.normalImpulse = xX;
                    cp2.normalImpulse = xY;
                    break;
                 }
                 break;
              }
           }
           bodyA.m_angularVelocity = wA;
           bodyB.m_angularVelocity = wB;
        }
     }
     b2ContactSolver.prototype.FinalizeVelocityConstraints = function () {
        for (var i = 0; i < this.m_constraintCount; ++i) {
           var c = this.m_constraints[i];
           var m = c.manifold;
           for (var j = 0; j < c.pointCount; ++j) {
              var point1 = m.m_points[j];
              var point2 = c.points[j];
              point1.m_normalImpulse = point2.normalImpulse;
              point1.m_tangentImpulse = point2.tangentImpulse;
           }
        }
     }
     b2ContactSolver.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var minSeparation = 0.0;
        for (var i = 0; i < this.m_constraintCount; i++) {
           var c = this.m_constraints[i];
           var bodyA = c.bodyA;
           var bodyB = c.bodyB;
           var invMassA = bodyA.m_mass * bodyA.m_invMass;
           var invIA = bodyA.m_mass * bodyA.m_invI;
           var invMassB = bodyB.m_mass * bodyB.m_invMass;
           var invIB = bodyB.m_mass * bodyB.m_invI;
           b2ContactSolver.s_psm.Initialize(c);
           var normal = b2ContactSolver.s_psm.m_normal;
           for (var j = 0; j < c.pointCount; j++) {
              var ccp = c.points[j];
              var point = b2ContactSolver.s_psm.m_points[j];
              var separation = b2ContactSolver.s_psm.m_separations[j];
              var rAX = point.x - bodyA.m_sweep.c.x;
              var rAY = point.y - bodyA.m_sweep.c.y;
              var rBX = point.x - bodyB.m_sweep.c.x;
              var rBY = point.y - bodyB.m_sweep.c.y;
              minSeparation = minSeparation < separation ? minSeparation : separation;
              var C = b2Math.Clamp(baumgarte * (separation + b2Settings.b2_linearSlop), (-b2Settings.b2_maxLinearCorrection), 0.0);
              var impulse = (-ccp.equalizedMass * C);
              var PX = impulse * normal.x;
              var PY = impulse * normal.y;bodyA.m_sweep.c.x -= invMassA * PX;
              bodyA.m_sweep.c.y -= invMassA * PY;
              bodyA.m_sweep.a -= invIA * (rAX * PY - rAY * PX);
              bodyA.SynchronizeTransform();
              bodyB.m_sweep.c.x += invMassB * PX;
              bodyB.m_sweep.c.y += invMassB * PY;
              bodyB.m_sweep.a += invIB * (rBX * PY - rBY * PX);
              bodyB.SynchronizeTransform();
           }
        }
        return minSeparation > (-1.5 * b2Settings.b2_linearSlop);
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Contacts.b2ContactSolver.s_worldManifold = new b2WorldManifold();
        Box2D.Dynamics.Contacts.b2ContactSolver.s_psm = new b2PositionSolverManifold();
     });
     Box2D.inherit(b2EdgeAndCircleContact, Box2D.Dynamics.Contacts.b2Contact);
     b2EdgeAndCircleContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2EdgeAndCircleContact.b2EdgeAndCircleContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2EdgeAndCircleContact.Create = function (allocator) {
        return new b2EdgeAndCircleContact();
     }
     b2EdgeAndCircleContact.Destroy = function (contact, allocator) {}
     b2EdgeAndCircleContact.prototype.Reset = function (fixtureA, fixtureB) {
        this.__super.Reset.call(this, fixtureA, fixtureB);
     }
     b2EdgeAndCircleContact.prototype.Evaluate = function () {
        var bA = this.m_fixtureA.GetBody();
        var bB = this.m_fixtureB.GetBody();
        this.b2CollideEdgeAndCircle(this.m_manifold, (this.m_fixtureA.GetShape() instanceof b2EdgeShape ? this.m_fixtureA.GetShape() : null), bA.m_xf, (this.m_fixtureB.GetShape() instanceof b2CircleShape ? this.m_fixtureB.GetShape() : null), bB.m_xf);
     }
     b2EdgeAndCircleContact.prototype.b2CollideEdgeAndCircle = function (manifold, edge, xf1, circle, xf2) {}
     Box2D.inherit(b2NullContact, Box2D.Dynamics.Contacts.b2Contact);
     b2NullContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2NullContact.b2NullContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2NullContact.prototype.b2NullContact = function () {
        this.__super.b2Contact.call(this);
     }
     b2NullContact.prototype.Evaluate = function () {}
     Box2D.inherit(b2PolyAndCircleContact, Box2D.Dynamics.Contacts.b2Contact);
     b2PolyAndCircleContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2PolyAndCircleContact.b2PolyAndCircleContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2PolyAndCircleContact.Create = function (allocator) {
        return new b2PolyAndCircleContact();
     }
     b2PolyAndCircleContact.Destroy = function (contact, allocator) {}
     b2PolyAndCircleContact.prototype.Reset = function (fixtureA, fixtureB) {
        this.__super.Reset.call(this, fixtureA, fixtureB);
        b2Settings.b2Assert(fixtureA.GetType() == b2Shape.e_polygonShape);
        b2Settings.b2Assert(fixtureB.GetType() == b2Shape.e_circleShape);
     }
     b2PolyAndCircleContact.prototype.Evaluate = function () {
        var bA = this.m_fixtureA.m_body;
        var bB = this.m_fixtureB.m_body;
        b2Collision.CollidePolygonAndCircle(this.m_manifold, (this.m_fixtureA.GetShape() instanceof b2PolygonShape ? this.m_fixtureA.GetShape() : null), bA.m_xf, (this.m_fixtureB.GetShape() instanceof b2CircleShape ? this.m_fixtureB.GetShape() : null), bB.m_xf);
     }
     Box2D.inherit(b2PolyAndEdgeContact, Box2D.Dynamics.Contacts.b2Contact);
     b2PolyAndEdgeContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2PolyAndEdgeContact.b2PolyAndEdgeContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2PolyAndEdgeContact.Create = function (allocator) {
        return new b2PolyAndEdgeContact();
     }
     b2PolyAndEdgeContact.Destroy = function (contact, allocator) {}
     b2PolyAndEdgeContact.prototype.Reset = function (fixtureA, fixtureB) {
        this.__super.Reset.call(this, fixtureA, fixtureB);
        b2Settings.b2Assert(fixtureA.GetType() == b2Shape.e_polygonShape);
        b2Settings.b2Assert(fixtureB.GetType() == b2Shape.e_edgeShape);
     }
     b2PolyAndEdgeContact.prototype.Evaluate = function () {
        var bA = this.m_fixtureA.GetBody();
        var bB = this.m_fixtureB.GetBody();
        this.b2CollidePolyAndEdge(this.m_manifold, (this.m_fixtureA.GetShape() instanceof b2PolygonShape ? this.m_fixtureA.GetShape() : null), bA.m_xf, (this.m_fixtureB.GetShape() instanceof b2EdgeShape ? this.m_fixtureB.GetShape() : null), bB.m_xf);
     }
     b2PolyAndEdgeContact.prototype.b2CollidePolyAndEdge = function (manifold, polygon, xf1, edge, xf2) {}
     Box2D.inherit(b2PolygonContact, Box2D.Dynamics.Contacts.b2Contact);
     b2PolygonContact.prototype.__super = Box2D.Dynamics.Contacts.b2Contact.prototype;
     b2PolygonContact.b2PolygonContact = function () {
        Box2D.Dynamics.Contacts.b2Contact.b2Contact.apply(this, arguments);
     };
     b2PolygonContact.Create = function (allocator) {
        return new b2PolygonContact();
     }
     b2PolygonContact.Destroy = function (contact, allocator) {}
     b2PolygonContact.prototype.Reset = function (fixtureA, fixtureB) {
        this.__super.Reset.call(this, fixtureA, fixtureB);
     }
     b2PolygonContact.prototype.Evaluate = function () {
        var bA = this.m_fixtureA.GetBody();
        var bB = this.m_fixtureB.GetBody();
        b2Collision.CollidePolygons(this.m_manifold, (this.m_fixtureA.GetShape() instanceof b2PolygonShape ? this.m_fixtureA.GetShape() : null), bA.m_xf, (this.m_fixtureB.GetShape() instanceof b2PolygonShape ? this.m_fixtureB.GetShape() : null), bB.m_xf);
     }
     b2PositionSolverManifold.b2PositionSolverManifold = function () {};
     b2PositionSolverManifold.prototype.b2PositionSolverManifold = function () {
        this.m_normal = new b2Vec2();
        this.m_separations = new Vector_a2j_Number(b2Settings.b2_maxManifoldPoints);
        this.m_points = new Vector(b2Settings.b2_maxManifoldPoints);
        for (var i = 0; i < b2Settings.b2_maxManifoldPoints; i++) {
           this.m_points[i] = new b2Vec2();
        }
     }
     b2PositionSolverManifold.prototype.Initialize = function (cc) {
        b2Settings.b2Assert(cc.pointCount > 0);
        var i = 0;
        var clipPointX = 0;
        var clipPointY = 0;
        var tMat;
        var tVec;
        var planePointX = 0;
        var planePointY = 0;
        switch (cc.type) {
        case b2Manifold.e_circles:
           {
              tMat = cc.bodyA.m_xf.R;
              tVec = cc.localPoint;
              var pointAX = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              var pointAY = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              tMat = cc.bodyB.m_xf.R;
              tVec = cc.points[0].localPoint;
              var pointBX = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              var pointBY = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              var dX = pointBX - pointAX;
              var dY = pointBY - pointAY;
              var d2 = dX * dX + dY * dY;
              if (d2 > Number.MIN_VALUE * Number.MIN_VALUE) {
                 var d = Math.sqrt(d2);
                 this.m_normal.x = dX / d;
                 this.m_normal.y = dY / d;
              }
              else {
                 this.m_normal.x = 1.0;
                 this.m_normal.y = 0.0;
              }
              this.m_points[0].x = 0.5 * (pointAX + pointBX);
              this.m_points[0].y = 0.5 * (pointAY + pointBY);
              this.m_separations[0] = dX * this.m_normal.x + dY * this.m_normal.y - cc.radius;
           }
           break;
        case b2Manifold.e_faceA:
           {
              tMat = cc.bodyA.m_xf.R;
              tVec = cc.localPlaneNormal;
              this.m_normal.x = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              this.m_normal.y = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tMat = cc.bodyA.m_xf.R;
              tVec = cc.localPoint;
              planePointX = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              planePointY = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              tMat = cc.bodyB.m_xf.R;
              for (i = 0;
              i < cc.pointCount; ++i) {
                 tVec = cc.points[i].localPoint;
                 clipPointX = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                 clipPointY = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                 this.m_separations[i] = (clipPointX - planePointX) * this.m_normal.x + (clipPointY - planePointY) * this.m_normal.y - cc.radius;
                 this.m_points[i].x = clipPointX;
                 this.m_points[i].y = clipPointY;
              }
           }
           break;
        case b2Manifold.e_faceB:
           {
              tMat = cc.bodyB.m_xf.R;
              tVec = cc.localPlaneNormal;
              this.m_normal.x = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
              this.m_normal.y = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
              tMat = cc.bodyB.m_xf.R;
              tVec = cc.localPoint;
              planePointX = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
              planePointY = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
              tMat = cc.bodyA.m_xf.R;
              for (i = 0;
              i < cc.pointCount; ++i) {
                 tVec = cc.points[i].localPoint;
                 clipPointX = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                 clipPointY = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                 this.m_separations[i] = (clipPointX - planePointX) * this.m_normal.x + (clipPointY - planePointY) * this.m_normal.y - cc.radius;
                 this.m_points[i].Set(clipPointX, clipPointY);
              }
              this.m_normal.x *= (-1);
              this.m_normal.y *= (-1);
           }
           break;
        }
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Contacts.b2PositionSolverManifold.circlePointA = new b2Vec2();
        Box2D.Dynamics.Contacts.b2PositionSolverManifold.circlePointB = new b2Vec2();
     });
  })();
  (function () {
     var b2Body = Box2D.Dynamics.b2Body,
        b2BodyDef = Box2D.Dynamics.b2BodyDef,
        b2ContactFilter = Box2D.Dynamics.b2ContactFilter,
        b2ContactImpulse = Box2D.Dynamics.b2ContactImpulse,
        b2ContactListener = Box2D.Dynamics.b2ContactListener,
        b2ContactManager = Box2D.Dynamics.b2ContactManager,
        b2DebugDraw = Box2D.Dynamics.b2DebugDraw,
        b2DestructionListener = Box2D.Dynamics.b2DestructionListener,
        b2FilterData = Box2D.Dynamics.b2FilterData,
        b2Fixture = Box2D.Dynamics.b2Fixture,
        b2FixtureDef = Box2D.Dynamics.b2FixtureDef,
        b2Island = Box2D.Dynamics.b2Island,
        b2TimeStep = Box2D.Dynamics.b2TimeStep,
        b2World = Box2D.Dynamics.b2World,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2CircleShape = Box2D.Collision.Shapes.b2CircleShape,
        b2EdgeChainDef = Box2D.Collision.Shapes.b2EdgeChainDef,
        b2EdgeShape = Box2D.Collision.Shapes.b2EdgeShape,
        b2MassData = Box2D.Collision.Shapes.b2MassData,
        b2PolygonShape = Box2D.Collision.Shapes.b2PolygonShape,
        b2Shape = Box2D.Collision.Shapes.b2Shape,
        b2BuoyancyController = Box2D.Dynamics.Controllers.b2BuoyancyController,
        b2ConstantAccelController = Box2D.Dynamics.Controllers.b2ConstantAccelController,
        b2ConstantForceController = Box2D.Dynamics.Controllers.b2ConstantForceController,
        b2Controller = Box2D.Dynamics.Controllers.b2Controller,
        b2ControllerEdge = Box2D.Dynamics.Controllers.b2ControllerEdge,
        b2GravityController = Box2D.Dynamics.Controllers.b2GravityController,
        b2TensorDampingController = Box2D.Dynamics.Controllers.b2TensorDampingController;
  
     Box2D.inherit(b2BuoyancyController, Box2D.Dynamics.Controllers.b2Controller);
     b2BuoyancyController.prototype.__super = Box2D.Dynamics.Controllers.b2Controller.prototype;
     b2BuoyancyController.b2BuoyancyController = function () {
        Box2D.Dynamics.Controllers.b2Controller.b2Controller.apply(this, arguments);
        this.normal = new b2Vec2(0, (-1));
        this.offset = 0;
        this.density = 0;
        this.velocity = new b2Vec2(0, 0);
        this.linearDrag = 2;
        this.angularDrag = 1;
        this.useDensity = false;
        this.useWorldGravity = true;
        this.gravity = null;
     };
     b2BuoyancyController.prototype.Step = function (step) {
        if (!this.m_bodyList) return;
        if (this.useWorldGravity) {
           this.gravity = this.GetWorld().GetGravity().Copy();
        }
        for (var i = this.m_bodyList; i; i = i.nextBody) {
           var body = i.body;
           if (body.IsAwake() == false) {
              continue;
           }
           var areac = new b2Vec2();
           var massc = new b2Vec2();
           var area = 0.0;
           var mass = 0.0;
           for (var fixture = body.GetFixtureList(); fixture; fixture = fixture.GetNext()) {
              var sc = new b2Vec2();
              var sarea = fixture.GetShape().ComputeSubmergedArea(this.normal, this.offset, body.GetTransform(), sc);
              area += sarea;
              areac.x += sarea * sc.x;
              areac.y += sarea * sc.y;
              var shapeDensity = 0;
              if (this.useDensity) {
                 shapeDensity = 1;
              }
              else {
                 shapeDensity = 1;
              }
              mass += sarea * shapeDensity;
              massc.x += sarea * sc.x * shapeDensity;
              massc.y += sarea * sc.y * shapeDensity;
           }
           areac.x /= area;
           areac.y /= area;
           massc.x /= mass;
           massc.y /= mass;
           if (area < Number.MIN_VALUE) continue;
           var buoyancyForce = this.gravity.GetNegative();
           buoyancyForce.Multiply(this.density * area);
           body.ApplyForce(buoyancyForce, massc);
           var dragForce = body.GetLinearVelocityFromWorldPoint(areac);
           dragForce.Subtract(this.velocity);
           dragForce.Multiply((-this.linearDrag * area));
           body.ApplyForce(dragForce, areac);
           body.ApplyTorque((-body.GetInertia() / body.GetMass() * area * body.GetAngularVelocity() * this.angularDrag));
        }
     }
     b2BuoyancyController.prototype.Draw = function (debugDraw) {
        var r = 1000;
        var p1 = new b2Vec2();
        var p2 = new b2Vec2();
        p1.x = this.normal.x * this.offset + this.normal.y * r;
        p1.y = this.normal.y * this.offset - this.normal.x * r;
        p2.x = this.normal.x * this.offset - this.normal.y * r;
        p2.y = this.normal.y * this.offset + this.normal.x * r;
        var color = new b2Color(0, 0, 1);
        debugDraw.DrawSegment(p1, p2, color);
     }
     Box2D.inherit(b2ConstantAccelController, Box2D.Dynamics.Controllers.b2Controller);
     b2ConstantAccelController.prototype.__super = Box2D.Dynamics.Controllers.b2Controller.prototype;
     b2ConstantAccelController.b2ConstantAccelController = function () {
        Box2D.Dynamics.Controllers.b2Controller.b2Controller.apply(this, arguments);
        this.A = new b2Vec2(0, 0);
     };
     b2ConstantAccelController.prototype.Step = function (step) {
        var smallA = new b2Vec2(this.A.x * step.dt, this.A.y * step.dt);
        for (var i = this.m_bodyList; i; i = i.nextBody) {
           var body = i.body;
           if (!body.IsAwake()) continue;
           body.SetLinearVelocity(new b2Vec2(body.GetLinearVelocity().x + smallA.x, body.GetLinearVelocity().y + smallA.y));
        }
     }
     Box2D.inherit(b2ConstantForceController, Box2D.Dynamics.Controllers.b2Controller);
     b2ConstantForceController.prototype.__super = Box2D.Dynamics.Controllers.b2Controller.prototype;
     b2ConstantForceController.b2ConstantForceController = function () {
        Box2D.Dynamics.Controllers.b2Controller.b2Controller.apply(this, arguments);
        this.F = new b2Vec2(0, 0);
     };
     b2ConstantForceController.prototype.Step = function (step) {
        for (var i = this.m_bodyList; i; i = i.nextBody) {
           var body = i.body;
           if (!body.IsAwake()) continue;
           body.ApplyForce(this.F, body.GetWorldCenter());
        }
     }
     b2Controller.b2Controller = function () {};
     b2Controller.prototype.Step = function (step) {}
     b2Controller.prototype.Draw = function (debugDraw) {}
     b2Controller.prototype.AddBody = function (body) {
        var edge = new b2ControllerEdge();
        edge.controller = this;
        edge.body = body;
        edge.nextBody = this.m_bodyList;
        edge.prevBody = null;
        this.m_bodyList = edge;
        if (edge.nextBody) edge.nextBody.prevBody = edge;
        this.m_bodyCount++;
        edge.nextController = body.m_controllerList;
        edge.prevController = null;
        body.m_controllerList = edge;
        if (edge.nextController) edge.nextController.prevController = edge;
        body.m_controllerCount++;
     }
     b2Controller.prototype.RemoveBody = function (body) {
        var edge = body.m_controllerList;
        while (edge && edge.controller != this)
        edge = edge.nextController;
        if (edge.prevBody) edge.prevBody.nextBody = edge.nextBody;
        if (edge.nextBody) edge.nextBody.prevBody = edge.prevBody;
        if (edge.nextController) edge.nextController.prevController = edge.prevController;
        if (edge.prevController) edge.prevController.nextController = edge.nextController;
        if (this.m_bodyList == edge) this.m_bodyList = edge.nextBody;
        if (body.m_controllerList == edge) body.m_controllerList = edge.nextController;
        body.m_controllerCount--;
        this.m_bodyCount--;
     }
     b2Controller.prototype.Clear = function () {
        while (this.m_bodyList)
        this.RemoveBody(this.m_bodyList.body);
     }
     b2Controller.prototype.GetNext = function () {
        return this.m_next;
     }
     b2Controller.prototype.GetWorld = function () {
        return this.m_world;
     }
     b2Controller.prototype.GetBodyList = function () {
        return this.m_bodyList;
     }
     b2ControllerEdge.b2ControllerEdge = function () {};
     Box2D.inherit(b2GravityController, Box2D.Dynamics.Controllers.b2Controller);
     b2GravityController.prototype.__super = Box2D.Dynamics.Controllers.b2Controller.prototype;
     b2GravityController.b2GravityController = function () {
        Box2D.Dynamics.Controllers.b2Controller.b2Controller.apply(this, arguments);
        this.G = 1;
        this.invSqr = true;
     };
     b2GravityController.prototype.Step = function (step) {
        var i = null;
        var body1 = null;
        var p1 = null;
        var mass1 = 0;
        var j = null;
        var body2 = null;
        var p2 = null;
        var dx = 0;
        var dy = 0;
        var r2 = 0;
        var f = null;
        if (this.invSqr) {
           for (i = this.m_bodyList;
           i; i = i.nextBody) {
              body1 = i.body;
              p1 = body1.GetWorldCenter();
              mass1 = body1.GetMass();
              for (j = this.m_bodyList;
              j != i; j = j.nextBody) {
                 body2 = j.body;
                 p2 = body2.GetWorldCenter();
                 dx = p2.x - p1.x;
                 dy = p2.y - p1.y;
                 r2 = dx * dx + dy * dy;
                 if (r2 < Number.MIN_VALUE) continue;
                 f = new b2Vec2(dx, dy);
                 f.Multiply(this.G / r2 / Math.sqrt(r2) * mass1 * body2.GetMass());
                 if (body1.IsAwake()) body1.ApplyForce(f, p1);
                 f.Multiply((-1));
                 if (body2.IsAwake()) body2.ApplyForce(f, p2);
              }
           }
        }
        else {
           for (i = this.m_bodyList;
           i; i = i.nextBody) {
              body1 = i.body;
              p1 = body1.GetWorldCenter();
              mass1 = body1.GetMass();
              for (j = this.m_bodyList;
              j != i; j = j.nextBody) {
                 body2 = j.body;
                 p2 = body2.GetWorldCenter();
                 dx = p2.x - p1.x;
                 dy = p2.y - p1.y;
                 r2 = dx * dx + dy * dy;
                 if (r2 < Number.MIN_VALUE) continue;
                 f = new b2Vec2(dx, dy);
                 f.Multiply(this.G / r2 * mass1 * body2.GetMass());
                 if (body1.IsAwake()) body1.ApplyForce(f, p1);
                 f.Multiply((-1));
                 if (body2.IsAwake()) body2.ApplyForce(f, p2);
              }
           }
        }
     }
     Box2D.inherit(b2TensorDampingController, Box2D.Dynamics.Controllers.b2Controller);
     b2TensorDampingController.prototype.__super = Box2D.Dynamics.Controllers.b2Controller.prototype;
     b2TensorDampingController.b2TensorDampingController = function () {
        Box2D.Dynamics.Controllers.b2Controller.b2Controller.apply(this, arguments);
        this.T = new b2Mat22();
        this.maxTimestep = 0;
     };
     b2TensorDampingController.prototype.SetAxisAligned = function (xDamping, yDamping) {
        if (xDamping === undefined) xDamping = 0;
        if (yDamping === undefined) yDamping = 0;
        this.T.col1.x = (-xDamping);
        this.T.col1.y = 0;
        this.T.col2.x = 0;
        this.T.col2.y = (-yDamping);
        if (xDamping > 0 || yDamping > 0) {
           this.maxTimestep = 1 / Math.max(xDamping, yDamping);
        }
        else {
           this.maxTimestep = 0;
        }
     }
     b2TensorDampingController.prototype.Step = function (step) {
        var timestep = step.dt;
        if (timestep <= Number.MIN_VALUE) return;
        if (timestep > this.maxTimestep && this.maxTimestep > 0) timestep = this.maxTimestep;
        for (var i = this.m_bodyList; i; i = i.nextBody) {
           var body = i.body;
           if (!body.IsAwake()) {
              continue;
           }
           var damping = body.GetWorldVector(b2Math.MulMV(this.T, body.GetLocalVector(body.GetLinearVelocity())));
           body.SetLinearVelocity(new b2Vec2(body.GetLinearVelocity().x + damping.x * timestep, body.GetLinearVelocity().y + damping.y * timestep));
        }
     }
  })();
  (function () {
     var b2Color = Box2D.Common.b2Color,
        b2internal = Box2D.Common.b2internal,
        b2Settings = Box2D.Common.b2Settings,
        b2Mat22 = Box2D.Common.Math.b2Mat22,
        b2Mat33 = Box2D.Common.Math.b2Mat33,
        b2Math = Box2D.Common.Math.b2Math,
        b2Sweep = Box2D.Common.Math.b2Sweep,
        b2Transform = Box2D.Common.Math.b2Transform,
        b2Vec2 = Box2D.Common.Math.b2Vec2,
        b2Vec3 = Box2D.Common.Math.b2Vec3,
        b2DistanceJoint = Box2D.Dynamics.Joints.b2DistanceJoint,
        b2DistanceJointDef = Box2D.Dynamics.Joints.b2DistanceJointDef,
        b2FrictionJoint = Box2D.Dynamics.Joints.b2FrictionJoint,
        b2FrictionJointDef = Box2D.Dynamics.Joints.b2FrictionJointDef,
        b2GearJoint = Box2D.Dynamics.Joints.b2GearJoint,
        b2GearJointDef = Box2D.Dynamics.Joints.b2GearJointDef,
        b2Jacobian = Box2D.Dynamics.Joints.b2Jacobian,
        b2Joint = Box2D.Dynamics.Joints.b2Joint,
        b2JointDef = Box2D.Dynamics.Joints.b2JointDef,
        b2JointEdge = Box2D.Dynamics.Joints.b2JointEdge,
        b2LineJoint = Box2D.Dynamics.Joints.b2LineJoint,
        b2LineJointDef = Box2D.Dynamics.Joints.b2LineJointDef,
        b2MouseJoint = Box2D.Dynamics.Joints.b2MouseJoint,
        b2MouseJointDef = Box2D.Dynamics.Joints.b2MouseJointDef,
        b2PrismaticJoint = Box2D.Dynamics.Joints.b2PrismaticJoint,
        b2PrismaticJointDef = Box2D.Dynamics.Joints.b2PrismaticJointDef,
        b2PulleyJoint = Box2D.Dynamics.Joints.b2PulleyJoint,
        b2PulleyJointDef = Box2D.Dynamics.Joints.b2PulleyJointDef,
        b2RevoluteJoint = Box2D.Dynamics.Joints.b2RevoluteJoint,
        b2RevoluteJointDef = Box2D.Dynamics.Joints.b2RevoluteJointDef,
        b2WeldJoint = Box2D.Dynamics.Joints.b2WeldJoint,
        b2WeldJointDef = Box2D.Dynamics.Joints.b2WeldJointDef,
        b2Body = Box2D.Dynamics.b2Body,
        b2BodyDef = Box2D.Dynamics.b2BodyDef,
        b2ContactFilter = Box2D.Dynamics.b2ContactFilter,
        b2ContactImpulse = Box2D.Dynamics.b2ContactImpulse,
        b2ContactListener = Box2D.Dynamics.b2ContactListener,
        b2ContactManager = Box2D.Dynamics.b2ContactManager,
        b2DebugDraw = Box2D.Dynamics.b2DebugDraw,
        b2DestructionListener = Box2D.Dynamics.b2DestructionListener,
        b2FilterData = Box2D.Dynamics.b2FilterData,
        b2Fixture = Box2D.Dynamics.b2Fixture,
        b2FixtureDef = Box2D.Dynamics.b2FixtureDef,
        b2Island = Box2D.Dynamics.b2Island,
        b2TimeStep = Box2D.Dynamics.b2TimeStep,
        b2World = Box2D.Dynamics.b2World;
  
     Box2D.inherit(b2DistanceJoint, Box2D.Dynamics.Joints.b2Joint);
     b2DistanceJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2DistanceJoint.b2DistanceJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_u = new b2Vec2();
     };
     b2DistanceJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2DistanceJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2DistanceJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse * this.m_u.x, inv_dt * this.m_impulse * this.m_u.y);
     }
     b2DistanceJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return 0.0;
     }
     b2DistanceJoint.prototype.GetLength = function () {
        return this.m_length;
     }
     b2DistanceJoint.prototype.SetLength = function (length) {
        if (length === undefined) length = 0;
        this.m_length = length;
     }
     b2DistanceJoint.prototype.GetFrequency = function () {
        return this.m_frequencyHz;
     }
     b2DistanceJoint.prototype.SetFrequency = function (hz) {
        if (hz === undefined) hz = 0;
        this.m_frequencyHz = hz;
     }
     b2DistanceJoint.prototype.GetDampingRatio = function () {
        return this.m_dampingRatio;
     }
     b2DistanceJoint.prototype.SetDampingRatio = function (ratio) {
        if (ratio === undefined) ratio = 0;
        this.m_dampingRatio = ratio;
     }
     b2DistanceJoint.prototype.b2DistanceJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        var tMat;
        var tX = 0;
        var tY = 0;
        this.m_localAnchor1.SetV(def.localAnchorA);
        this.m_localAnchor2.SetV(def.localAnchorB);
        this.m_length = def.length;
        this.m_frequencyHz = def.frequencyHz;
        this.m_dampingRatio = def.dampingRatio;
        this.m_impulse = 0.0;
        this.m_gamma = 0.0;
        this.m_bias = 0.0;
     }
     b2DistanceJoint.prototype.InitVelocityConstraints = function (step) {
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        this.m_u.x = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
        this.m_u.y = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
        var length = Math.sqrt(this.m_u.x * this.m_u.x + this.m_u.y * this.m_u.y);
        if (length > b2Settings.b2_linearSlop) {
           this.m_u.Multiply(1.0 / length);
        }
        else {
           this.m_u.SetZero();
        }
        var cr1u = (r1X * this.m_u.y - r1Y * this.m_u.x);
        var cr2u = (r2X * this.m_u.y - r2Y * this.m_u.x);
        var invMass = bA.m_invMass + bA.m_invI * cr1u * cr1u + bB.m_invMass + bB.m_invI * cr2u * cr2u;
        this.m_mass = invMass != 0.0 ? 1.0 / invMass : 0.0;
        if (this.m_frequencyHz > 0.0) {
           var C = length - this.m_length;
           var omega = 2.0 * Math.PI * this.m_frequencyHz;
           var d = 2.0 * this.m_mass * this.m_dampingRatio * omega;
           var k = this.m_mass * omega * omega;
           this.m_gamma = step.dt * (d + step.dt * k);
           this.m_gamma = this.m_gamma != 0.0 ? 1 / this.m_gamma : 0.0;
           this.m_bias = C * step.dt * k * this.m_gamma;
           this.m_mass = invMass + this.m_gamma;
           this.m_mass = this.m_mass != 0.0 ? 1.0 / this.m_mass : 0.0;
        }
        if (step.warmStarting) {
           this.m_impulse *= step.dtRatio;
           var PX = this.m_impulse * this.m_u.x;
           var PY = this.m_impulse * this.m_u.y;
           bA.m_linearVelocity.x -= bA.m_invMass * PX;
           bA.m_linearVelocity.y -= bA.m_invMass * PY;
           bA.m_angularVelocity -= bA.m_invI * (r1X * PY - r1Y * PX);
           bB.m_linearVelocity.x += bB.m_invMass * PX;
           bB.m_linearVelocity.y += bB.m_invMass * PY;
           bB.m_angularVelocity += bB.m_invI * (r2X * PY - r2Y * PX);
        }
        else {
           this.m_impulse = 0.0;
        }
     }
     b2DistanceJoint.prototype.SolveVelocityConstraints = function (step) {
        var tMat;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var v1X = bA.m_linearVelocity.x + ((-bA.m_angularVelocity * r1Y));
        var v1Y = bA.m_linearVelocity.y + (bA.m_angularVelocity * r1X);
        var v2X = bB.m_linearVelocity.x + ((-bB.m_angularVelocity * r2Y));
        var v2Y = bB.m_linearVelocity.y + (bB.m_angularVelocity * r2X);
        var Cdot = (this.m_u.x * (v2X - v1X) + this.m_u.y * (v2Y - v1Y));
        var impulse = (-this.m_mass * (Cdot + this.m_bias + this.m_gamma * this.m_impulse));
        this.m_impulse += impulse;
        var PX = impulse * this.m_u.x;
        var PY = impulse * this.m_u.y;
        bA.m_linearVelocity.x -= bA.m_invMass * PX;
        bA.m_linearVelocity.y -= bA.m_invMass * PY;
        bA.m_angularVelocity -= bA.m_invI * (r1X * PY - r1Y * PX);
        bB.m_linearVelocity.x += bB.m_invMass * PX;
        bB.m_linearVelocity.y += bB.m_invMass * PY;
        bB.m_angularVelocity += bB.m_invI * (r2X * PY - r2Y * PX);
     }
     b2DistanceJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var tMat;
        if (this.m_frequencyHz > 0.0) {
           return true;
        }
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var dX = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
        var dY = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
        var length = Math.sqrt(dX * dX + dY * dY);
        dX /= length;
        dY /= length;
        var C = length - this.m_length;
        C = b2Math.Clamp(C, (-b2Settings.b2_maxLinearCorrection), b2Settings.b2_maxLinearCorrection);
        var impulse = (-this.m_mass * C);
        this.m_u.Set(dX, dY);
        var PX = impulse * this.m_u.x;
        var PY = impulse * this.m_u.y;
        bA.m_sweep.c.x -= bA.m_invMass * PX;
        bA.m_sweep.c.y -= bA.m_invMass * PY;
        bA.m_sweep.a -= bA.m_invI * (r1X * PY - r1Y * PX);
        bB.m_sweep.c.x += bB.m_invMass * PX;
        bB.m_sweep.c.y += bB.m_invMass * PY;
        bB.m_sweep.a += bB.m_invI * (r2X * PY - r2Y * PX);
        bA.SynchronizeTransform();
        bB.SynchronizeTransform();
        return b2Math.Abs(C) < b2Settings.b2_linearSlop;
     }
     Box2D.inherit(b2DistanceJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2DistanceJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2DistanceJointDef.b2DistanceJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
     };
     b2DistanceJointDef.prototype.b2DistanceJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_distanceJoint;
        this.length = 1.0;
        this.frequencyHz = 0.0;
        this.dampingRatio = 0.0;
     }
     b2DistanceJointDef.prototype.Initialize = function (bA, bB, anchorA, anchorB) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA.SetV(this.bodyA.GetLocalPoint(anchorA));
        this.localAnchorB.SetV(this.bodyB.GetLocalPoint(anchorB));
        var dX = anchorB.x - anchorA.x;
        var dY = anchorB.y - anchorA.y;
        this.length = Math.sqrt(dX * dX + dY * dY);
        this.frequencyHz = 0.0;
        this.dampingRatio = 0.0;
     }
     Box2D.inherit(b2FrictionJoint, Box2D.Dynamics.Joints.b2Joint);
     b2FrictionJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2FrictionJoint.b2FrictionJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_localAnchorA = new b2Vec2();
        this.m_localAnchorB = new b2Vec2();
        this.m_linearMass = new b2Mat22();
        this.m_linearImpulse = new b2Vec2();
     };
     b2FrictionJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchorA);
     }
     b2FrictionJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchorB);
     }
     b2FrictionJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_linearImpulse.x, inv_dt * this.m_linearImpulse.y);
     }
     b2FrictionJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return inv_dt * this.m_angularImpulse;
     }
     b2FrictionJoint.prototype.SetMaxForce = function (force) {
        if (force === undefined) force = 0;
        this.m_maxForce = force;
     }
     b2FrictionJoint.prototype.GetMaxForce = function () {
        return this.m_maxForce;
     }
     b2FrictionJoint.prototype.SetMaxTorque = function (torque) {
        if (torque === undefined) torque = 0;
        this.m_maxTorque = torque;
     }
     b2FrictionJoint.prototype.GetMaxTorque = function () {
        return this.m_maxTorque;
     }
     b2FrictionJoint.prototype.b2FrictionJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        this.m_localAnchorA.SetV(def.localAnchorA);
        this.m_localAnchorB.SetV(def.localAnchorB);
        this.m_linearMass.SetZero();
        this.m_angularMass = 0.0;
        this.m_linearImpulse.SetZero();
        this.m_angularImpulse = 0.0;
        this.m_maxForce = def.maxForce;
        this.m_maxTorque = def.maxTorque;
     }
     b2FrictionJoint.prototype.InitVelocityConstraints = function (step) {
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var rAX = this.m_localAnchorA.x - bA.m_sweep.localCenter.x;
        var rAY = this.m_localAnchorA.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rAX + tMat.col2.x * rAY);
        rAY = (tMat.col1.y * rAX + tMat.col2.y * rAY);
        rAX = tX;
        tMat = bB.m_xf.R;
        var rBX = this.m_localAnchorB.x - bB.m_sweep.localCenter.x;
        var rBY = this.m_localAnchorB.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rBX + tMat.col2.x * rBY);
        rBY = (tMat.col1.y * rBX + tMat.col2.y * rBY);
        rBX = tX;
        var mA = bA.m_invMass;
        var mB = bB.m_invMass;
        var iA = bA.m_invI;
        var iB = bB.m_invI;
        var K = new b2Mat22();
        K.col1.x = mA + mB;
        K.col2.x = 0.0;
        K.col1.y = 0.0;
        K.col2.y = mA + mB;
        K.col1.x += iA * rAY * rAY;
        K.col2.x += (-iA * rAX * rAY);
        K.col1.y += (-iA * rAX * rAY);
        K.col2.y += iA * rAX * rAX;
        K.col1.x += iB * rBY * rBY;
        K.col2.x += (-iB * rBX * rBY);
        K.col1.y += (-iB * rBX * rBY);
        K.col2.y += iB * rBX * rBX;
        K.GetInverse(this.m_linearMass);
        this.m_angularMass = iA + iB;
        if (this.m_angularMass > 0.0) {
           this.m_angularMass = 1.0 / this.m_angularMass;
        }
        if (step.warmStarting) {
           this.m_linearImpulse.x *= step.dtRatio;
           this.m_linearImpulse.y *= step.dtRatio;
           this.m_angularImpulse *= step.dtRatio;
           var P = this.m_linearImpulse;
           bA.m_linearVelocity.x -= mA * P.x;
           bA.m_linearVelocity.y -= mA * P.y;
           bA.m_angularVelocity -= iA * (rAX * P.y - rAY * P.x + this.m_angularImpulse);
           bB.m_linearVelocity.x += mB * P.x;
           bB.m_linearVelocity.y += mB * P.y;
           bB.m_angularVelocity += iB * (rBX * P.y - rBY * P.x + this.m_angularImpulse);
        }
        else {
           this.m_linearImpulse.SetZero();
           this.m_angularImpulse = 0.0;
        }
     }
     b2FrictionJoint.prototype.SolveVelocityConstraints = function (step) {
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var vA = bA.m_linearVelocity;
        var wA = bA.m_angularVelocity;
        var vB = bB.m_linearVelocity;
        var wB = bB.m_angularVelocity;
        var mA = bA.m_invMass;
        var mB = bB.m_invMass;
        var iA = bA.m_invI;
        var iB = bB.m_invI;
        tMat = bA.m_xf.R;
        var rAX = this.m_localAnchorA.x - bA.m_sweep.localCenter.x;
        var rAY = this.m_localAnchorA.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rAX + tMat.col2.x * rAY);
        rAY = (tMat.col1.y * rAX + tMat.col2.y * rAY);
        rAX = tX;
        tMat = bB.m_xf.R;
        var rBX = this.m_localAnchorB.x - bB.m_sweep.localCenter.x;
        var rBY = this.m_localAnchorB.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rBX + tMat.col2.x * rBY);
        rBY = (tMat.col1.y * rBX + tMat.col2.y * rBY);
        rBX = tX;
        var maxImpulse = 0; {
           var Cdot = wB - wA;
           var impulse = (-this.m_angularMass * Cdot);
           var oldImpulse = this.m_angularImpulse;
           maxImpulse = step.dt * this.m_maxTorque;
           this.m_angularImpulse = b2Math.Clamp(this.m_angularImpulse + impulse, (-maxImpulse), maxImpulse);
           impulse = this.m_angularImpulse - oldImpulse;
           wA -= iA * impulse;
           wB += iB * impulse;
        } {
           var CdotX = vB.x - wB * rBY - vA.x + wA * rAY;
           var CdotY = vB.y + wB * rBX - vA.y - wA * rAX;
           var impulseV = b2Math.MulMV(this.m_linearMass, new b2Vec2((-CdotX), (-CdotY)));
           var oldImpulseV = this.m_linearImpulse.Copy();
           this.m_linearImpulse.Add(impulseV);
           maxImpulse = step.dt * this.m_maxForce;
           if (this.m_linearImpulse.LengthSquared() > maxImpulse * maxImpulse) {
              this.m_linearImpulse.Normalize();
              this.m_linearImpulse.Multiply(maxImpulse);
           }
           impulseV = b2Math.SubtractVV(this.m_linearImpulse, oldImpulseV);
           vA.x -= mA * impulseV.x;
           vA.y -= mA * impulseV.y;
           wA -= iA * (rAX * impulseV.y - rAY * impulseV.x);
           vB.x += mB * impulseV.x;
           vB.y += mB * impulseV.y;
           wB += iB * (rBX * impulseV.y - rBY * impulseV.x);
        }
        bA.m_angularVelocity = wA;
        bB.m_angularVelocity = wB;
     }
     b2FrictionJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        return true;
     }
     Box2D.inherit(b2FrictionJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2FrictionJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2FrictionJointDef.b2FrictionJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
     };
     b2FrictionJointDef.prototype.b2FrictionJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_frictionJoint;
        this.maxForce = 0.0;
        this.maxTorque = 0.0;
     }
     b2FrictionJointDef.prototype.Initialize = function (bA, bB, anchor) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA.SetV(this.bodyA.GetLocalPoint(anchor));
        this.localAnchorB.SetV(this.bodyB.GetLocalPoint(anchor));
     }
     Box2D.inherit(b2GearJoint, Box2D.Dynamics.Joints.b2Joint);
     b2GearJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2GearJoint.b2GearJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_groundAnchor1 = new b2Vec2();
        this.m_groundAnchor2 = new b2Vec2();
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_J = new b2Jacobian();
     };
     b2GearJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2GearJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2GearJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse * this.m_J.linearB.x, inv_dt * this.m_impulse * this.m_J.linearB.y);
     }
     b2GearJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        var tMat = this.m_bodyB.m_xf.R;
        var rX = this.m_localAnchor1.x - this.m_bodyB.m_sweep.localCenter.x;
        var rY = this.m_localAnchor1.y - this.m_bodyB.m_sweep.localCenter.y;
        var tX = tMat.col1.x * rX + tMat.col2.x * rY;
        rY = tMat.col1.y * rX + tMat.col2.y * rY;
        rX = tX;
        var PX = this.m_impulse * this.m_J.linearB.x;
        var PY = this.m_impulse * this.m_J.linearB.y;
        return inv_dt * (this.m_impulse * this.m_J.angularB - rX * PY + rY * PX);
     }
     b2GearJoint.prototype.GetRatio = function () {
        return this.m_ratio;
     }
     b2GearJoint.prototype.SetRatio = function (ratio) {
        if (ratio === undefined) ratio = 0;
        this.m_ratio = ratio;
     }
     b2GearJoint.prototype.b2GearJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        var type1 = parseInt(def.joint1.m_type);
        var type2 = parseInt(def.joint2.m_type);
        this.m_revolute1 = null;
        this.m_prismatic1 = null;
        this.m_revolute2 = null;
        this.m_prismatic2 = null;
        var coordinate1 = 0;
        var coordinate2 = 0;
        this.m_ground1 = def.joint1.GetBodyA();
        this.m_bodyA = def.joint1.GetBodyB();
        if (type1 == b2Joint.e_revoluteJoint) {
           this.m_revolute1 = (def.joint1 instanceof b2RevoluteJoint ? def.joint1 : null);
           this.m_groundAnchor1.SetV(this.m_revolute1.m_localAnchor1);
           this.m_localAnchor1.SetV(this.m_revolute1.m_localAnchor2);
           coordinate1 = this.m_revolute1.GetJointAngle();
        }
        else {
           this.m_prismatic1 = (def.joint1 instanceof b2PrismaticJoint ? def.joint1 : null);
           this.m_groundAnchor1.SetV(this.m_prismatic1.m_localAnchor1);
           this.m_localAnchor1.SetV(this.m_prismatic1.m_localAnchor2);
           coordinate1 = this.m_prismatic1.GetJointTranslation();
        }
        this.m_ground2 = def.joint2.GetBodyA();
        this.m_bodyB = def.joint2.GetBodyB();
        if (type2 == b2Joint.e_revoluteJoint) {
           this.m_revolute2 = (def.joint2 instanceof b2RevoluteJoint ? def.joint2 : null);
           this.m_groundAnchor2.SetV(this.m_revolute2.m_localAnchor1);
           this.m_localAnchor2.SetV(this.m_revolute2.m_localAnchor2);
           coordinate2 = this.m_revolute2.GetJointAngle();
        }
        else {
           this.m_prismatic2 = (def.joint2 instanceof b2PrismaticJoint ? def.joint2 : null);
           this.m_groundAnchor2.SetV(this.m_prismatic2.m_localAnchor1);
           this.m_localAnchor2.SetV(this.m_prismatic2.m_localAnchor2);
           coordinate2 = this.m_prismatic2.GetJointTranslation();
        }
        this.m_ratio = def.ratio;
        this.m_constant = coordinate1 + this.m_ratio * coordinate2;
        this.m_impulse = 0.0;
     }
     b2GearJoint.prototype.InitVelocityConstraints = function (step) {
        var g1 = this.m_ground1;
        var g2 = this.m_ground2;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var ugX = 0;
        var ugY = 0;
        var rX = 0;
        var rY = 0;
        var tMat;
        var tVec;
        var crug = 0;
        var tX = 0;
        var K = 0.0;
        this.m_J.SetZero();
        if (this.m_revolute1) {
           this.m_J.angularA = (-1.0);
           K += bA.m_invI;
        }
        else {
           tMat = g1.m_xf.R;
           tVec = this.m_prismatic1.m_localXAxis1;
           ugX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
           ugY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
           tMat = bA.m_xf.R;
           rX = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           rY = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = tMat.col1.x * rX + tMat.col2.x * rY;
           rY = tMat.col1.y * rX + tMat.col2.y * rY;
           rX = tX;
           crug = rX * ugY - rY * ugX;
           this.m_J.linearA.Set((-ugX), (-ugY));
           this.m_J.angularA = (-crug);
           K += bA.m_invMass + bA.m_invI * crug * crug;
        }
        if (this.m_revolute2) {
           this.m_J.angularB = (-this.m_ratio);
           K += this.m_ratio * this.m_ratio * bB.m_invI;
        }
        else {
           tMat = g2.m_xf.R;
           tVec = this.m_prismatic2.m_localXAxis1;
           ugX = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
           ugY = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
           tMat = bB.m_xf.R;
           rX = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           rY = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = tMat.col1.x * rX + tMat.col2.x * rY;
           rY = tMat.col1.y * rX + tMat.col2.y * rY;
           rX = tX;
           crug = rX * ugY - rY * ugX;
           this.m_J.linearB.Set((-this.m_ratio * ugX), (-this.m_ratio * ugY));
           this.m_J.angularB = (-this.m_ratio * crug);
           K += this.m_ratio * this.m_ratio * (bB.m_invMass + bB.m_invI * crug * crug);
        }
        this.m_mass = K > 0.0 ? 1.0 / K : 0.0;
        if (step.warmStarting) {
           bA.m_linearVelocity.x += bA.m_invMass * this.m_impulse * this.m_J.linearA.x;
           bA.m_linearVelocity.y += bA.m_invMass * this.m_impulse * this.m_J.linearA.y;
           bA.m_angularVelocity += bA.m_invI * this.m_impulse * this.m_J.angularA;
           bB.m_linearVelocity.x += bB.m_invMass * this.m_impulse * this.m_J.linearB.x;
           bB.m_linearVelocity.y += bB.m_invMass * this.m_impulse * this.m_J.linearB.y;
           bB.m_angularVelocity += bB.m_invI * this.m_impulse * this.m_J.angularB;
        }
        else {
           this.m_impulse = 0.0;
        }
     }
     b2GearJoint.prototype.SolveVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var Cdot = this.m_J.Compute(bA.m_linearVelocity, bA.m_angularVelocity, bB.m_linearVelocity, bB.m_angularVelocity);
        var impulse = (-this.m_mass * Cdot);
        this.m_impulse += impulse;
        bA.m_linearVelocity.x += bA.m_invMass * impulse * this.m_J.linearA.x;
        bA.m_linearVelocity.y += bA.m_invMass * impulse * this.m_J.linearA.y;
        bA.m_angularVelocity += bA.m_invI * impulse * this.m_J.angularA;
        bB.m_linearVelocity.x += bB.m_invMass * impulse * this.m_J.linearB.x;
        bB.m_linearVelocity.y += bB.m_invMass * impulse * this.m_J.linearB.y;
        bB.m_angularVelocity += bB.m_invI * impulse * this.m_J.angularB;
     }
     b2GearJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var linearError = 0.0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var coordinate1 = 0;
        var coordinate2 = 0;
        if (this.m_revolute1) {
           coordinate1 = this.m_revolute1.GetJointAngle();
        }
        else {
           coordinate1 = this.m_prismatic1.GetJointTranslation();
        }
        if (this.m_revolute2) {
           coordinate2 = this.m_revolute2.GetJointAngle();
        }
        else {
           coordinate2 = this.m_prismatic2.GetJointTranslation();
        }
        var C = this.m_constant - (coordinate1 + this.m_ratio * coordinate2);
        var impulse = (-this.m_mass * C);
        bA.m_sweep.c.x += bA.m_invMass * impulse * this.m_J.linearA.x;
        bA.m_sweep.c.y += bA.m_invMass * impulse * this.m_J.linearA.y;
        bA.m_sweep.a += bA.m_invI * impulse * this.m_J.angularA;
        bB.m_sweep.c.x += bB.m_invMass * impulse * this.m_J.linearB.x;
        bB.m_sweep.c.y += bB.m_invMass * impulse * this.m_J.linearB.y;
        bB.m_sweep.a += bB.m_invI * impulse * this.m_J.angularB;
        bA.SynchronizeTransform();
        bB.SynchronizeTransform();
        return linearError < b2Settings.b2_linearSlop;
     }
     Box2D.inherit(b2GearJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2GearJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2GearJointDef.b2GearJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
     };
     b2GearJointDef.prototype.b2GearJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_gearJoint;
        this.joint1 = null;
        this.joint2 = null;
        this.ratio = 1.0;
     }
     b2Jacobian.b2Jacobian = function () {
        this.linearA = new b2Vec2();
        this.linearB = new b2Vec2();
     };
     b2Jacobian.prototype.SetZero = function () {
        this.linearA.SetZero();
        this.angularA = 0.0;
        this.linearB.SetZero();
        this.angularB = 0.0;
     }
     b2Jacobian.prototype.Set = function (x1, a1, x2, a2) {
        if (a1 === undefined) a1 = 0;
        if (a2 === undefined) a2 = 0;
        this.linearA.SetV(x1);
        this.angularA = a1;
        this.linearB.SetV(x2);
        this.angularB = a2;
     }
     b2Jacobian.prototype.Compute = function (x1, a1, x2, a2) {
        if (a1 === undefined) a1 = 0;
        if (a2 === undefined) a2 = 0;
        return (this.linearA.x * x1.x + this.linearA.y * x1.y) + this.angularA * a1 + (this.linearB.x * x2.x + this.linearB.y * x2.y) + this.angularB * a2;
     }
     b2Joint.b2Joint = function () {
        this.m_edgeA = new b2JointEdge();
        this.m_edgeB = new b2JointEdge();
        this.m_localCenterA = new b2Vec2();
        this.m_localCenterB = new b2Vec2();
     };
     b2Joint.prototype.GetType = function () {
        return this.m_type;
     }
     b2Joint.prototype.GetAnchorA = function () {
        return null;
     }
     b2Joint.prototype.GetAnchorB = function () {
        return null;
     }
     b2Joint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return null;
     }
     b2Joint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return 0.0;
     }
     b2Joint.prototype.GetBodyA = function () {
        return this.m_bodyA;
     }
     b2Joint.prototype.GetBodyB = function () {
        return this.m_bodyB;
     }
     b2Joint.prototype.GetNext = function () {
        return this.m_next;
     }
     b2Joint.prototype.GetUserData = function () {
        return this.m_userData;
     }
     b2Joint.prototype.SetUserData = function (data) {
        this.m_userData = data;
     }
     b2Joint.prototype.IsActive = function () {
        return this.m_bodyA.IsActive() && this.m_bodyB.IsActive();
     }
     b2Joint.Create = function (def, allocator) {
        var joint = null;
        switch (def.type) {
        case b2Joint.e_distanceJoint:
           {
              joint = new b2DistanceJoint((def instanceof b2DistanceJointDef ? def : null));
           }
           break;
        case b2Joint.e_mouseJoint:
           {
              joint = new b2MouseJoint((def instanceof b2MouseJointDef ? def : null));
           }
           break;
        case b2Joint.e_prismaticJoint:
           {
              joint = new b2PrismaticJoint((def instanceof b2PrismaticJointDef ? def : null));
           }
           break;
        case b2Joint.e_revoluteJoint:
           {
              joint = new b2RevoluteJoint((def instanceof b2RevoluteJointDef ? def : null));
           }
           break;
        case b2Joint.e_pulleyJoint:
           {
              joint = new b2PulleyJoint((def instanceof b2PulleyJointDef ? def : null));
           }
           break;
        case b2Joint.e_gearJoint:
           {
              joint = new b2GearJoint((def instanceof b2GearJointDef ? def : null));
           }
           break;
        case b2Joint.e_lineJoint:
           {
              joint = new b2LineJoint((def instanceof b2LineJointDef ? def : null));
           }
           break;
        case b2Joint.e_weldJoint:
           {
              joint = new b2WeldJoint((def instanceof b2WeldJointDef ? def : null));
           }
           break;
        case b2Joint.e_frictionJoint:
           {
              joint = new b2FrictionJoint((def instanceof b2FrictionJointDef ? def : null));
           }
           break;
        default:
           break;
        }
        return joint;
     }
     b2Joint.Destroy = function (joint, allocator) {}
     b2Joint.prototype.b2Joint = function (def) {
        b2Settings.b2Assert(def.bodyA != def.bodyB);
        this.m_type = def.type;
        this.m_prev = null;
        this.m_next = null;
        this.m_bodyA = def.bodyA;
        this.m_bodyB = def.bodyB;
        this.m_collideConnected = def.collideConnected;
        this.m_islandFlag = false;
        this.m_userData = def.userData;
     }
     b2Joint.prototype.InitVelocityConstraints = function (step) {}
     b2Joint.prototype.SolveVelocityConstraints = function (step) {}
     b2Joint.prototype.FinalizeVelocityConstraints = function () {}
     b2Joint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        return false;
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Joints.b2Joint.e_unknownJoint = 0;
        Box2D.Dynamics.Joints.b2Joint.e_revoluteJoint = 1;
        Box2D.Dynamics.Joints.b2Joint.e_prismaticJoint = 2;
        Box2D.Dynamics.Joints.b2Joint.e_distanceJoint = 3;
        Box2D.Dynamics.Joints.b2Joint.e_pulleyJoint = 4;
        Box2D.Dynamics.Joints.b2Joint.e_mouseJoint = 5;
        Box2D.Dynamics.Joints.b2Joint.e_gearJoint = 6;
        Box2D.Dynamics.Joints.b2Joint.e_lineJoint = 7;
        Box2D.Dynamics.Joints.b2Joint.e_weldJoint = 8;
        Box2D.Dynamics.Joints.b2Joint.e_frictionJoint = 9;
        Box2D.Dynamics.Joints.b2Joint.e_inactiveLimit = 0;
        Box2D.Dynamics.Joints.b2Joint.e_atLowerLimit = 1;
        Box2D.Dynamics.Joints.b2Joint.e_atUpperLimit = 2;
        Box2D.Dynamics.Joints.b2Joint.e_equalLimits = 3;
     });
     b2JointDef.b2JointDef = function () {};
     b2JointDef.prototype.b2JointDef = function () {
        this.type = b2Joint.e_unknownJoint;
        this.userData = null;
        this.bodyA = null;
        this.bodyB = null;
        this.collideConnected = false;
     }
     b2JointEdge.b2JointEdge = function () {};
     Box2D.inherit(b2LineJoint, Box2D.Dynamics.Joints.b2Joint);
     b2LineJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2LineJoint.b2LineJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_localXAxis1 = new b2Vec2();
        this.m_localYAxis1 = new b2Vec2();
        this.m_axis = new b2Vec2();
        this.m_perp = new b2Vec2();
        this.m_K = new b2Mat22();
        this.m_impulse = new b2Vec2();
     };
     b2LineJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2LineJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2LineJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * (this.m_impulse.x * this.m_perp.x + (this.m_motorImpulse + this.m_impulse.y) * this.m_axis.x), inv_dt * (this.m_impulse.x * this.m_perp.y + (this.m_motorImpulse + this.m_impulse.y) * this.m_axis.y));
     }
     b2LineJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return inv_dt * this.m_impulse.y;
     }
     b2LineJoint.prototype.GetJointTranslation = function () {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var p1 = bA.GetWorldPoint(this.m_localAnchor1);
        var p2 = bB.GetWorldPoint(this.m_localAnchor2);
        var dX = p2.x - p1.x;
        var dY = p2.y - p1.y;
        var axis = bA.GetWorldVector(this.m_localXAxis1);
        var translation = axis.x * dX + axis.y * dY;
        return translation;
     }
     b2LineJoint.prototype.GetJointSpeed = function () {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var p1X = bA.m_sweep.c.x + r1X;
        var p1Y = bA.m_sweep.c.y + r1Y;
        var p2X = bB.m_sweep.c.x + r2X;
        var p2Y = bB.m_sweep.c.y + r2Y;
        var dX = p2X - p1X;
        var dY = p2Y - p1Y;
        var axis = bA.GetWorldVector(this.m_localXAxis1);
        var v1 = bA.m_linearVelocity;
        var v2 = bB.m_linearVelocity;
        var w1 = bA.m_angularVelocity;
        var w2 = bB.m_angularVelocity;
        var speed = (dX * ((-w1 * axis.y)) + dY * (w1 * axis.x)) + (axis.x * (((v2.x + ((-w2 * r2Y))) - v1.x) - ((-w1 * r1Y))) + axis.y * (((v2.y + (w2 * r2X)) - v1.y) - (w1 * r1X)));
        return speed;
     }
     b2LineJoint.prototype.IsLimitEnabled = function () {
        return this.m_enableLimit;
     }
     b2LineJoint.prototype.EnableLimit = function (flag) {
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_enableLimit = flag;
     }
     b2LineJoint.prototype.GetLowerLimit = function () {
        return this.m_lowerTranslation;
     }
     b2LineJoint.prototype.GetUpperLimit = function () {
        return this.m_upperTranslation;
     }
     b2LineJoint.prototype.SetLimits = function (lower, upper) {
        if (lower === undefined) lower = 0;
        if (upper === undefined) upper = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_lowerTranslation = lower;
        this.m_upperTranslation = upper;
     }
     b2LineJoint.prototype.IsMotorEnabled = function () {
        return this.m_enableMotor;
     }
     b2LineJoint.prototype.EnableMotor = function (flag) {
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_enableMotor = flag;
     }
     b2LineJoint.prototype.SetMotorSpeed = function (speed) {
        if (speed === undefined) speed = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_motorSpeed = speed;
     }
     b2LineJoint.prototype.GetMotorSpeed = function () {
        return this.m_motorSpeed;
     }
     b2LineJoint.prototype.SetMaxMotorForce = function (force) {
        if (force === undefined) force = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_maxMotorForce = force;
     }
     b2LineJoint.prototype.GetMaxMotorForce = function () {
        return this.m_maxMotorForce;
     }
     b2LineJoint.prototype.GetMotorForce = function () {
        return this.m_motorImpulse;
     }
     b2LineJoint.prototype.b2LineJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        var tMat;
        var tX = 0;
        var tY = 0;
        this.m_localAnchor1.SetV(def.localAnchorA);
        this.m_localAnchor2.SetV(def.localAnchorB);
        this.m_localXAxis1.SetV(def.localAxisA);
        this.m_localYAxis1.x = (-this.m_localXAxis1.y);
        this.m_localYAxis1.y = this.m_localXAxis1.x;
        this.m_impulse.SetZero();
        this.m_motorMass = 0.0;
        this.m_motorImpulse = 0.0;
        this.m_lowerTranslation = def.lowerTranslation;
        this.m_upperTranslation = def.upperTranslation;
        this.m_maxMotorForce = def.maxMotorForce;
        this.m_motorSpeed = def.motorSpeed;
        this.m_enableLimit = def.enableLimit;
        this.m_enableMotor = def.enableMotor;
        this.m_limitState = b2Joint.e_inactiveLimit;
        this.m_axis.SetZero();
        this.m_perp.SetZero();
     }
     b2LineJoint.prototype.InitVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var tX = 0;
        this.m_localCenterA.SetV(bA.GetLocalCenter());
        this.m_localCenterB.SetV(bB.GetLocalCenter());
        var xf1 = bA.GetTransform();
        var xf2 = bB.GetTransform();
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - this.m_localCenterA.x;
        var r1Y = this.m_localAnchor1.y - this.m_localCenterA.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - this.m_localCenterB.x;
        var r2Y = this.m_localAnchor2.y - this.m_localCenterB.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var dX = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
        var dY = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
        this.m_invMassA = bA.m_invMass;
        this.m_invMassB = bB.m_invMass;
        this.m_invIA = bA.m_invI;
        this.m_invIB = bB.m_invI; {
           this.m_axis.SetV(b2Math.MulMV(xf1.R, this.m_localXAxis1));
           this.m_a1 = (dX + r1X) * this.m_axis.y - (dY + r1Y) * this.m_axis.x;
           this.m_a2 = r2X * this.m_axis.y - r2Y * this.m_axis.x;
           this.m_motorMass = this.m_invMassA + this.m_invMassB + this.m_invIA * this.m_a1 * this.m_a1 + this.m_invIB * this.m_a2 * this.m_a2;
           this.m_motorMass = this.m_motorMass > Number.MIN_VALUE ? 1.0 / this.m_motorMass : 0.0;
        } {
           this.m_perp.SetV(b2Math.MulMV(xf1.R, this.m_localYAxis1));
           this.m_s1 = (dX + r1X) * this.m_perp.y - (dY + r1Y) * this.m_perp.x;
           this.m_s2 = r2X * this.m_perp.y - r2Y * this.m_perp.x;
           var m1 = this.m_invMassA;
           var m2 = this.m_invMassB;
           var i1 = this.m_invIA;
           var i2 = this.m_invIB;
           this.m_K.col1.x = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           this.m_K.col1.y = i1 * this.m_s1 * this.m_a1 + i2 * this.m_s2 * this.m_a2;
           this.m_K.col2.x = this.m_K.col1.y;
           this.m_K.col2.y = m1 + m2 + i1 * this.m_a1 * this.m_a1 + i2 * this.m_a2 * this.m_a2;
        }
        if (this.m_enableLimit) {
           var jointTransition = this.m_axis.x * dX + this.m_axis.y * dY;
           if (b2Math.Abs(this.m_upperTranslation - this.m_lowerTranslation) < 2.0 * b2Settings.b2_linearSlop) {
              this.m_limitState = b2Joint.e_equalLimits;
           }
           else if (jointTransition <= this.m_lowerTranslation) {
              if (this.m_limitState != b2Joint.e_atLowerLimit) {
                 this.m_limitState = b2Joint.e_atLowerLimit;
                 this.m_impulse.y = 0.0;
              }
           }
           else if (jointTransition >= this.m_upperTranslation) {
              if (this.m_limitState != b2Joint.e_atUpperLimit) {
                 this.m_limitState = b2Joint.e_atUpperLimit;
                 this.m_impulse.y = 0.0;
              }
           }
           else {
              this.m_limitState = b2Joint.e_inactiveLimit;
              this.m_impulse.y = 0.0;
           }
        }
        else {
           this.m_limitState = b2Joint.e_inactiveLimit;
        }
        if (this.m_enableMotor == false) {
           this.m_motorImpulse = 0.0;
        }
        if (step.warmStarting) {
           this.m_impulse.x *= step.dtRatio;
           this.m_impulse.y *= step.dtRatio;
           this.m_motorImpulse *= step.dtRatio;
           var PX = this.m_impulse.x * this.m_perp.x + (this.m_motorImpulse + this.m_impulse.y) * this.m_axis.x;
           var PY = this.m_impulse.x * this.m_perp.y + (this.m_motorImpulse + this.m_impulse.y) * this.m_axis.y;
           var L1 = this.m_impulse.x * this.m_s1 + (this.m_motorImpulse + this.m_impulse.y) * this.m_a1;
           var L2 = this.m_impulse.x * this.m_s2 + (this.m_motorImpulse + this.m_impulse.y) * this.m_a2;
           bA.m_linearVelocity.x -= this.m_invMassA * PX;
           bA.m_linearVelocity.y -= this.m_invMassA * PY;
           bA.m_angularVelocity -= this.m_invIA * L1;
           bB.m_linearVelocity.x += this.m_invMassB * PX;
           bB.m_linearVelocity.y += this.m_invMassB * PY;
           bB.m_angularVelocity += this.m_invIB * L2;
        }
        else {
           this.m_impulse.SetZero();
           this.m_motorImpulse = 0.0;
        }
     }
     b2LineJoint.prototype.SolveVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var v1 = bA.m_linearVelocity;
        var w1 = bA.m_angularVelocity;
        var v2 = bB.m_linearVelocity;
        var w2 = bB.m_angularVelocity;
        var PX = 0;
        var PY = 0;
        var L1 = 0;
        var L2 = 0;
        if (this.m_enableMotor && this.m_limitState != b2Joint.e_equalLimits) {
           var Cdot = this.m_axis.x * (v2.x - v1.x) + this.m_axis.y * (v2.y - v1.y) + this.m_a2 * w2 - this.m_a1 * w1;
           var impulse = this.m_motorMass * (this.m_motorSpeed - Cdot);
           var oldImpulse = this.m_motorImpulse;
           var maxImpulse = step.dt * this.m_maxMotorForce;
           this.m_motorImpulse = b2Math.Clamp(this.m_motorImpulse + impulse, (-maxImpulse), maxImpulse);
           impulse = this.m_motorImpulse - oldImpulse;
           PX = impulse * this.m_axis.x;
           PY = impulse * this.m_axis.y;
           L1 = impulse * this.m_a1;
           L2 = impulse * this.m_a2;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        var Cdot1 = this.m_perp.x * (v2.x - v1.x) + this.m_perp.y * (v2.y - v1.y) + this.m_s2 * w2 - this.m_s1 * w1;
        if (this.m_enableLimit && this.m_limitState != b2Joint.e_inactiveLimit) {
           var Cdot2 = this.m_axis.x * (v2.x - v1.x) + this.m_axis.y * (v2.y - v1.y) + this.m_a2 * w2 - this.m_a1 * w1;
           var f1 = this.m_impulse.Copy();
           var df = this.m_K.Solve(new b2Vec2(), (-Cdot1), (-Cdot2));
           this.m_impulse.Add(df);
           if (this.m_limitState == b2Joint.e_atLowerLimit) {
              this.m_impulse.y = b2Math.Max(this.m_impulse.y, 0.0);
           }
           else if (this.m_limitState == b2Joint.e_atUpperLimit) {
              this.m_impulse.y = b2Math.Min(this.m_impulse.y, 0.0);
           }
           var b = (-Cdot1) - (this.m_impulse.y - f1.y) * this.m_K.col2.x;
           var f2r = 0;
           if (this.m_K.col1.x != 0.0) {
              f2r = b / this.m_K.col1.x + f1.x;
           }
           else {
              f2r = f1.x;
           }
           this.m_impulse.x = f2r;
           df.x = this.m_impulse.x - f1.x;
           df.y = this.m_impulse.y - f1.y;
           PX = df.x * this.m_perp.x + df.y * this.m_axis.x;
           PY = df.x * this.m_perp.y + df.y * this.m_axis.y;
           L1 = df.x * this.m_s1 + df.y * this.m_a1;
           L2 = df.x * this.m_s2 + df.y * this.m_a2;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        else {
           var df2 = 0;
           if (this.m_K.col1.x != 0.0) {
              df2 = ((-Cdot1)) / this.m_K.col1.x;
           }
           else {
              df2 = 0.0;
           }
           this.m_impulse.x += df2;
           PX = df2 * this.m_perp.x;
           PY = df2 * this.m_perp.y;
           L1 = df2 * this.m_s1;
           L2 = df2 * this.m_s2;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        bA.m_linearVelocity.SetV(v1);
        bA.m_angularVelocity = w1;
        bB.m_linearVelocity.SetV(v2);
        bB.m_angularVelocity = w2;
     }
     b2LineJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var limitC = 0;
        var oldLimitImpulse = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var c1 = bA.m_sweep.c;
        var a1 = bA.m_sweep.a;
        var c2 = bB.m_sweep.c;
        var a2 = bB.m_sweep.a;
        var tMat;
        var tX = 0;
        var m1 = 0;
        var m2 = 0;
        var i1 = 0;
        var i2 = 0;
        var linearError = 0.0;
        var angularError = 0.0;
        var active = false;
        var C2 = 0.0;
        var R1 = b2Mat22.FromAngle(a1);
        var R2 = b2Mat22.FromAngle(a2);
        tMat = R1;
        var r1X = this.m_localAnchor1.x - this.m_localCenterA.x;
        var r1Y = this.m_localAnchor1.y - this.m_localCenterA.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = R2;
        var r2X = this.m_localAnchor2.x - this.m_localCenterB.x;
        var r2Y = this.m_localAnchor2.y - this.m_localCenterB.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var dX = c2.x + r2X - c1.x - r1X;
        var dY = c2.y + r2Y - c1.y - r1Y;
        if (this.m_enableLimit) {
           this.m_axis = b2Math.MulMV(R1, this.m_localXAxis1);
           this.m_a1 = (dX + r1X) * this.m_axis.y - (dY + r1Y) * this.m_axis.x;
           this.m_a2 = r2X * this.m_axis.y - r2Y * this.m_axis.x;
           var translation = this.m_axis.x * dX + this.m_axis.y * dY;
           if (b2Math.Abs(this.m_upperTranslation - this.m_lowerTranslation) < 2.0 * b2Settings.b2_linearSlop) {
              C2 = b2Math.Clamp(translation, (-b2Settings.b2_maxLinearCorrection), b2Settings.b2_maxLinearCorrection);
              linearError = b2Math.Abs(translation);
              active = true;
           }
           else if (translation <= this.m_lowerTranslation) {
              C2 = b2Math.Clamp(translation - this.m_lowerTranslation + b2Settings.b2_linearSlop, (-b2Settings.b2_maxLinearCorrection), 0.0);
              linearError = this.m_lowerTranslation - translation;
              active = true;
           }
           else if (translation >= this.m_upperTranslation) {
              C2 = b2Math.Clamp(translation - this.m_upperTranslation + b2Settings.b2_linearSlop, 0.0, b2Settings.b2_maxLinearCorrection);
              linearError = translation - this.m_upperTranslation;
              active = true;
           }
        }
        this.m_perp = b2Math.MulMV(R1, this.m_localYAxis1);
        this.m_s1 = (dX + r1X) * this.m_perp.y - (dY + r1Y) * this.m_perp.x;
        this.m_s2 = r2X * this.m_perp.y - r2Y * this.m_perp.x;
        var impulse = new b2Vec2();
        var C1 = this.m_perp.x * dX + this.m_perp.y * dY;
        linearError = b2Math.Max(linearError, b2Math.Abs(C1));
        angularError = 0.0;
        if (active) {
           m1 = this.m_invMassA;
           m2 = this.m_invMassB;
           i1 = this.m_invIA;
           i2 = this.m_invIB;
           this.m_K.col1.x = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           this.m_K.col1.y = i1 * this.m_s1 * this.m_a1 + i2 * this.m_s2 * this.m_a2;
           this.m_K.col2.x = this.m_K.col1.y;
           this.m_K.col2.y = m1 + m2 + i1 * this.m_a1 * this.m_a1 + i2 * this.m_a2 * this.m_a2;
           this.m_K.Solve(impulse, (-C1), (-C2));
        }
        else {
           m1 = this.m_invMassA;
           m2 = this.m_invMassB;
           i1 = this.m_invIA;
           i2 = this.m_invIB;
           var k11 = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           var impulse1 = 0;
           if (k11 != 0.0) {
              impulse1 = ((-C1)) / k11;
           }
           else {
              impulse1 = 0.0;
           }
           impulse.x = impulse1;
           impulse.y = 0.0;
        }
        var PX = impulse.x * this.m_perp.x + impulse.y * this.m_axis.x;
        var PY = impulse.x * this.m_perp.y + impulse.y * this.m_axis.y;
        var L1 = impulse.x * this.m_s1 + impulse.y * this.m_a1;
        var L2 = impulse.x * this.m_s2 + impulse.y * this.m_a2;
        c1.x -= this.m_invMassA * PX;
        c1.y -= this.m_invMassA * PY;
        a1 -= this.m_invIA * L1;
        c2.x += this.m_invMassB * PX;
        c2.y += this.m_invMassB * PY;
        a2 += this.m_invIB * L2;
        bA.m_sweep.a = a1;
        bB.m_sweep.a = a2;
        bA.SynchronizeTransform();
        bB.SynchronizeTransform();
        return linearError <= b2Settings.b2_linearSlop && angularError <= b2Settings.b2_angularSlop;
     }
     Box2D.inherit(b2LineJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2LineJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2LineJointDef.b2LineJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
        this.localAxisA = new b2Vec2();
     };
     b2LineJointDef.prototype.b2LineJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_lineJoint;
        this.localAxisA.Set(1.0, 0.0);
        this.enableLimit = false;
        this.lowerTranslation = 0.0;
        this.upperTranslation = 0.0;
        this.enableMotor = false;
        this.maxMotorForce = 0.0;
        this.motorSpeed = 0.0;
     }
     b2LineJointDef.prototype.Initialize = function (bA, bB, anchor, axis) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA = this.bodyA.GetLocalPoint(anchor);
        this.localAnchorB = this.bodyB.GetLocalPoint(anchor);
        this.localAxisA = this.bodyA.GetLocalVector(axis);
     }
     Box2D.inherit(b2MouseJoint, Box2D.Dynamics.Joints.b2Joint);
     b2MouseJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2MouseJoint.b2MouseJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.K = new b2Mat22();
        this.K1 = new b2Mat22();
        this.K2 = new b2Mat22();
        this.m_localAnchor = new b2Vec2();
        this.m_target = new b2Vec2();
        this.m_impulse = new b2Vec2();
        this.m_mass = new b2Mat22();
        this.m_C = new b2Vec2();
     };
     b2MouseJoint.prototype.GetAnchorA = function () {
        return this.m_target;
     }
     b2MouseJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor);
     }
     b2MouseJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse.x, inv_dt * this.m_impulse.y);
     }
     b2MouseJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return 0.0;
     }
     b2MouseJoint.prototype.GetTarget = function () {
        return this.m_target;
     }
     b2MouseJoint.prototype.SetTarget = function (target) {
        if (this.m_bodyB.IsAwake() == false) {
           this.m_bodyB.SetAwake(true);
        }
        this.m_target = target;
     }
     b2MouseJoint.prototype.GetMaxForce = function () {
        return this.m_maxForce;
     }
     b2MouseJoint.prototype.SetMaxForce = function (maxForce) {
        if (maxForce === undefined) maxForce = 0;
        this.m_maxForce = maxForce;
     }
     b2MouseJoint.prototype.GetFrequency = function () {
        return this.m_frequencyHz;
     }
     b2MouseJoint.prototype.SetFrequency = function (hz) {
        if (hz === undefined) hz = 0;
        this.m_frequencyHz = hz;
     }
     b2MouseJoint.prototype.GetDampingRatio = function () {
        return this.m_dampingRatio;
     }
     b2MouseJoint.prototype.SetDampingRatio = function (ratio) {
        if (ratio === undefined) ratio = 0;
        this.m_dampingRatio = ratio;
     }
     b2MouseJoint.prototype.b2MouseJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        this.m_target.SetV(def.target);
        var tX = this.m_target.x - this.m_bodyB.m_xf.position.x;
        var tY = this.m_target.y - this.m_bodyB.m_xf.position.y;
        var tMat = this.m_bodyB.m_xf.R;
        this.m_localAnchor.x = (tX * tMat.col1.x + tY * tMat.col1.y);
        this.m_localAnchor.y = (tX * tMat.col2.x + tY * tMat.col2.y);
        this.m_maxForce = def.maxForce;
        this.m_impulse.SetZero();
        this.m_frequencyHz = def.frequencyHz;
        this.m_dampingRatio = def.dampingRatio;
        this.m_beta = 0.0;
        this.m_gamma = 0.0;
     }
     b2MouseJoint.prototype.InitVelocityConstraints = function (step) {
        var b = this.m_bodyB;
        var mass = b.GetMass();
        var omega = 2.0 * Math.PI * this.m_frequencyHz;
        var d = 2.0 * mass * this.m_dampingRatio * omega;
        var k = mass * omega * omega;
        this.m_gamma = step.dt * (d + step.dt * k);
        this.m_gamma = this.m_gamma != 0 ? 1 / this.m_gamma : 0.0;
        this.m_beta = step.dt * k * this.m_gamma;
        var tMat;tMat = b.m_xf.R;
        var rX = this.m_localAnchor.x - b.m_sweep.localCenter.x;
        var rY = this.m_localAnchor.y - b.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * rX + tMat.col2.x * rY);rY = (tMat.col1.y * rX + tMat.col2.y * rY);
        rX = tX;
        var invMass = b.m_invMass;
        var invI = b.m_invI;this.K1.col1.x = invMass;
        this.K1.col2.x = 0.0;
        this.K1.col1.y = 0.0;
        this.K1.col2.y = invMass;
        this.K2.col1.x = invI * rY * rY;
        this.K2.col2.x = (-invI * rX * rY);
        this.K2.col1.y = (-invI * rX * rY);
        this.K2.col2.y = invI * rX * rX;
        this.K.SetM(this.K1);
        this.K.AddM(this.K2);
        this.K.col1.x += this.m_gamma;
        this.K.col2.y += this.m_gamma;
        this.K.GetInverse(this.m_mass);
        this.m_C.x = b.m_sweep.c.x + rX - this.m_target.x;
        this.m_C.y = b.m_sweep.c.y + rY - this.m_target.y;
        b.m_angularVelocity *= 0.98;
        this.m_impulse.x *= step.dtRatio;
        this.m_impulse.y *= step.dtRatio;
        b.m_linearVelocity.x += invMass * this.m_impulse.x;
        b.m_linearVelocity.y += invMass * this.m_impulse.y;
        b.m_angularVelocity += invI * (rX * this.m_impulse.y - rY * this.m_impulse.x);
     }
     b2MouseJoint.prototype.SolveVelocityConstraints = function (step) {
        var b = this.m_bodyB;
        var tMat;
        var tX = 0;
        var tY = 0;
        tMat = b.m_xf.R;
        var rX = this.m_localAnchor.x - b.m_sweep.localCenter.x;
        var rY = this.m_localAnchor.y - b.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rX + tMat.col2.x * rY);
        rY = (tMat.col1.y * rX + tMat.col2.y * rY);
        rX = tX;
        var CdotX = b.m_linearVelocity.x + ((-b.m_angularVelocity * rY));
        var CdotY = b.m_linearVelocity.y + (b.m_angularVelocity * rX);
        tMat = this.m_mass;
        tX = CdotX + this.m_beta * this.m_C.x + this.m_gamma * this.m_impulse.x;
        tY = CdotY + this.m_beta * this.m_C.y + this.m_gamma * this.m_impulse.y;
        var impulseX = (-(tMat.col1.x * tX + tMat.col2.x * tY));
        var impulseY = (-(tMat.col1.y * tX + tMat.col2.y * tY));
        var oldImpulseX = this.m_impulse.x;
        var oldImpulseY = this.m_impulse.y;
        this.m_impulse.x += impulseX;
        this.m_impulse.y += impulseY;
        var maxImpulse = step.dt * this.m_maxForce;
        if (this.m_impulse.LengthSquared() > maxImpulse * maxImpulse) {
           this.m_impulse.Multiply(maxImpulse / this.m_impulse.Length());
        }
        impulseX = this.m_impulse.x - oldImpulseX;
        impulseY = this.m_impulse.y - oldImpulseY;
        b.m_linearVelocity.x += b.m_invMass * impulseX;
        b.m_linearVelocity.y += b.m_invMass * impulseY;
        b.m_angularVelocity += b.m_invI * (rX * impulseY - rY * impulseX);
     }
     b2MouseJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        return true;
     }
     Box2D.inherit(b2MouseJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2MouseJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2MouseJointDef.b2MouseJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.target = new b2Vec2();
     };
     b2MouseJointDef.prototype.b2MouseJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_mouseJoint;
        this.maxForce = 0.0;
        this.frequencyHz = 5.0;
        this.dampingRatio = 0.7;
     }
     Box2D.inherit(b2PrismaticJoint, Box2D.Dynamics.Joints.b2Joint);
     b2PrismaticJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2PrismaticJoint.b2PrismaticJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_localXAxis1 = new b2Vec2();
        this.m_localYAxis1 = new b2Vec2();
        this.m_axis = new b2Vec2();
        this.m_perp = new b2Vec2();
        this.m_K = new b2Mat33();
        this.m_impulse = new b2Vec3();
     };
     b2PrismaticJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2PrismaticJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2PrismaticJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * (this.m_impulse.x * this.m_perp.x + (this.m_motorImpulse + this.m_impulse.z) * this.m_axis.x), inv_dt * (this.m_impulse.x * this.m_perp.y + (this.m_motorImpulse + this.m_impulse.z) * this.m_axis.y));
     }
     b2PrismaticJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return inv_dt * this.m_impulse.y;
     }
     b2PrismaticJoint.prototype.GetJointTranslation = function () {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var p1 = bA.GetWorldPoint(this.m_localAnchor1);
        var p2 = bB.GetWorldPoint(this.m_localAnchor2);
        var dX = p2.x - p1.x;
        var dY = p2.y - p1.y;
        var axis = bA.GetWorldVector(this.m_localXAxis1);
        var translation = axis.x * dX + axis.y * dY;
        return translation;
     }
     b2PrismaticJoint.prototype.GetJointSpeed = function () {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var p1X = bA.m_sweep.c.x + r1X;
        var p1Y = bA.m_sweep.c.y + r1Y;
        var p2X = bB.m_sweep.c.x + r2X;
        var p2Y = bB.m_sweep.c.y + r2Y;
        var dX = p2X - p1X;
        var dY = p2Y - p1Y;
        var axis = bA.GetWorldVector(this.m_localXAxis1);
        var v1 = bA.m_linearVelocity;
        var v2 = bB.m_linearVelocity;
        var w1 = bA.m_angularVelocity;
        var w2 = bB.m_angularVelocity;
        var speed = (dX * ((-w1 * axis.y)) + dY * (w1 * axis.x)) + (axis.x * (((v2.x + ((-w2 * r2Y))) - v1.x) - ((-w1 * r1Y))) + axis.y * (((v2.y + (w2 * r2X)) - v1.y) - (w1 * r1X)));
        return speed;
     }
     b2PrismaticJoint.prototype.IsLimitEnabled = function () {
        return this.m_enableLimit;
     }
     b2PrismaticJoint.prototype.EnableLimit = function (flag) {
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_enableLimit = flag;
     }
     b2PrismaticJoint.prototype.GetLowerLimit = function () {
        return this.m_lowerTranslation;
     }
     b2PrismaticJoint.prototype.GetUpperLimit = function () {
        return this.m_upperTranslation;
     }
     b2PrismaticJoint.prototype.SetLimits = function (lower, upper) {
        if (lower === undefined) lower = 0;
        if (upper === undefined) upper = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_lowerTranslation = lower;
        this.m_upperTranslation = upper;
     }
     b2PrismaticJoint.prototype.IsMotorEnabled = function () {
        return this.m_enableMotor;
     }
     b2PrismaticJoint.prototype.EnableMotor = function (flag) {
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_enableMotor = flag;
     }
     b2PrismaticJoint.prototype.SetMotorSpeed = function (speed) {
        if (speed === undefined) speed = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_motorSpeed = speed;
     }
     b2PrismaticJoint.prototype.GetMotorSpeed = function () {
        return this.m_motorSpeed;
     }
     b2PrismaticJoint.prototype.SetMaxMotorForce = function (force) {
        if (force === undefined) force = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_maxMotorForce = force;
     }
     b2PrismaticJoint.prototype.GetMotorForce = function () {
        return this.m_motorImpulse;
     }
     b2PrismaticJoint.prototype.b2PrismaticJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        var tMat;
        var tX = 0;
        var tY = 0;
        this.m_localAnchor1.SetV(def.localAnchorA);
        this.m_localAnchor2.SetV(def.localAnchorB);
        this.m_localXAxis1.SetV(def.localAxisA);
        this.m_localYAxis1.x = (-this.m_localXAxis1.y);
        this.m_localYAxis1.y = this.m_localXAxis1.x;
        this.m_refAngle = def.referenceAngle;
        this.m_impulse.SetZero();
        this.m_motorMass = 0.0;
        this.m_motorImpulse = 0.0;
        this.m_lowerTranslation = def.lowerTranslation;
        this.m_upperTranslation = def.upperTranslation;
        this.m_maxMotorForce = def.maxMotorForce;
        this.m_motorSpeed = def.motorSpeed;
        this.m_enableLimit = def.enableLimit;
        this.m_enableMotor = def.enableMotor;
        this.m_limitState = b2Joint.e_inactiveLimit;
        this.m_axis.SetZero();
        this.m_perp.SetZero();
     }
     b2PrismaticJoint.prototype.InitVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var tX = 0;
        this.m_localCenterA.SetV(bA.GetLocalCenter());
        this.m_localCenterB.SetV(bB.GetLocalCenter());
        var xf1 = bA.GetTransform();
        var xf2 = bB.GetTransform();
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - this.m_localCenterA.x;
        var r1Y = this.m_localAnchor1.y - this.m_localCenterA.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - this.m_localCenterB.x;
        var r2Y = this.m_localAnchor2.y - this.m_localCenterB.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var dX = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
        var dY = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
        this.m_invMassA = bA.m_invMass;
        this.m_invMassB = bB.m_invMass;
        this.m_invIA = bA.m_invI;
        this.m_invIB = bB.m_invI; {
           this.m_axis.SetV(b2Math.MulMV(xf1.R, this.m_localXAxis1));
           this.m_a1 = (dX + r1X) * this.m_axis.y - (dY + r1Y) * this.m_axis.x;
           this.m_a2 = r2X * this.m_axis.y - r2Y * this.m_axis.x;
           this.m_motorMass = this.m_invMassA + this.m_invMassB + this.m_invIA * this.m_a1 * this.m_a1 + this.m_invIB * this.m_a2 * this.m_a2;
           if (this.m_motorMass > Number.MIN_VALUE) this.m_motorMass = 1.0 / this.m_motorMass;
        } {
           this.m_perp.SetV(b2Math.MulMV(xf1.R, this.m_localYAxis1));
           this.m_s1 = (dX + r1X) * this.m_perp.y - (dY + r1Y) * this.m_perp.x;
           this.m_s2 = r2X * this.m_perp.y - r2Y * this.m_perp.x;
           var m1 = this.m_invMassA;
           var m2 = this.m_invMassB;
           var i1 = this.m_invIA;
           var i2 = this.m_invIB;
           this.m_K.col1.x = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           this.m_K.col1.y = i1 * this.m_s1 + i2 * this.m_s2;
           this.m_K.col1.z = i1 * this.m_s1 * this.m_a1 + i2 * this.m_s2 * this.m_a2;
           this.m_K.col2.x = this.m_K.col1.y;
           this.m_K.col2.y = i1 + i2;
           this.m_K.col2.z = i1 * this.m_a1 + i2 * this.m_a2;
           this.m_K.col3.x = this.m_K.col1.z;
           this.m_K.col3.y = this.m_K.col2.z;
           this.m_K.col3.z = m1 + m2 + i1 * this.m_a1 * this.m_a1 + i2 * this.m_a2 * this.m_a2;
        }
        if (this.m_enableLimit) {
           var jointTransition = this.m_axis.x * dX + this.m_axis.y * dY;
           if (b2Math.Abs(this.m_upperTranslation - this.m_lowerTranslation) < 2.0 * b2Settings.b2_linearSlop) {
              this.m_limitState = b2Joint.e_equalLimits;
           }
           else if (jointTransition <= this.m_lowerTranslation) {
              if (this.m_limitState != b2Joint.e_atLowerLimit) {
                 this.m_limitState = b2Joint.e_atLowerLimit;
                 this.m_impulse.z = 0.0;
              }
           }
           else if (jointTransition >= this.m_upperTranslation) {
              if (this.m_limitState != b2Joint.e_atUpperLimit) {
                 this.m_limitState = b2Joint.e_atUpperLimit;
                 this.m_impulse.z = 0.0;
              }
           }
           else {
              this.m_limitState = b2Joint.e_inactiveLimit;
              this.m_impulse.z = 0.0;
           }
        }
        else {
           this.m_limitState = b2Joint.e_inactiveLimit;
        }
        if (this.m_enableMotor == false) {
           this.m_motorImpulse = 0.0;
        }
        if (step.warmStarting) {
           this.m_impulse.x *= step.dtRatio;
           this.m_impulse.y *= step.dtRatio;
           this.m_motorImpulse *= step.dtRatio;
           var PX = this.m_impulse.x * this.m_perp.x + (this.m_motorImpulse + this.m_impulse.z) * this.m_axis.x;
           var PY = this.m_impulse.x * this.m_perp.y + (this.m_motorImpulse + this.m_impulse.z) * this.m_axis.y;
           var L1 = this.m_impulse.x * this.m_s1 + this.m_impulse.y + (this.m_motorImpulse + this.m_impulse.z) * this.m_a1;
           var L2 = this.m_impulse.x * this.m_s2 + this.m_impulse.y + (this.m_motorImpulse + this.m_impulse.z) * this.m_a2;
           bA.m_linearVelocity.x -= this.m_invMassA * PX;
           bA.m_linearVelocity.y -= this.m_invMassA * PY;
           bA.m_angularVelocity -= this.m_invIA * L1;
           bB.m_linearVelocity.x += this.m_invMassB * PX;
           bB.m_linearVelocity.y += this.m_invMassB * PY;
           bB.m_angularVelocity += this.m_invIB * L2;
        }
        else {
           this.m_impulse.SetZero();
           this.m_motorImpulse = 0.0;
        }
     }
     b2PrismaticJoint.prototype.SolveVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var v1 = bA.m_linearVelocity;
        var w1 = bA.m_angularVelocity;
        var v2 = bB.m_linearVelocity;
        var w2 = bB.m_angularVelocity;
        var PX = 0;
        var PY = 0;
        var L1 = 0;
        var L2 = 0;
        if (this.m_enableMotor && this.m_limitState != b2Joint.e_equalLimits) {
           var Cdot = this.m_axis.x * (v2.x - v1.x) + this.m_axis.y * (v2.y - v1.y) + this.m_a2 * w2 - this.m_a1 * w1;
           var impulse = this.m_motorMass * (this.m_motorSpeed - Cdot);
           var oldImpulse = this.m_motorImpulse;
           var maxImpulse = step.dt * this.m_maxMotorForce;
           this.m_motorImpulse = b2Math.Clamp(this.m_motorImpulse + impulse, (-maxImpulse), maxImpulse);
           impulse = this.m_motorImpulse - oldImpulse;
           PX = impulse * this.m_axis.x;
           PY = impulse * this.m_axis.y;
           L1 = impulse * this.m_a1;
           L2 = impulse * this.m_a2;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        var Cdot1X = this.m_perp.x * (v2.x - v1.x) + this.m_perp.y * (v2.y - v1.y) + this.m_s2 * w2 - this.m_s1 * w1;
        var Cdot1Y = w2 - w1;
        if (this.m_enableLimit && this.m_limitState != b2Joint.e_inactiveLimit) {
           var Cdot2 = this.m_axis.x * (v2.x - v1.x) + this.m_axis.y * (v2.y - v1.y) + this.m_a2 * w2 - this.m_a1 * w1;
           var f1 = this.m_impulse.Copy();
           var df = this.m_K.Solve33(new b2Vec3(), (-Cdot1X), (-Cdot1Y), (-Cdot2));
           this.m_impulse.Add(df);
           if (this.m_limitState == b2Joint.e_atLowerLimit) {
              this.m_impulse.z = b2Math.Max(this.m_impulse.z, 0.0);
           }
           else if (this.m_limitState == b2Joint.e_atUpperLimit) {
              this.m_impulse.z = b2Math.Min(this.m_impulse.z, 0.0);
           }
           var bX = (-Cdot1X) - (this.m_impulse.z - f1.z) * this.m_K.col3.x;
           var bY = (-Cdot1Y) - (this.m_impulse.z - f1.z) * this.m_K.col3.y;
           var f2r = this.m_K.Solve22(new b2Vec2(), bX, bY);
           f2r.x += f1.x;
           f2r.y += f1.y;
           this.m_impulse.x = f2r.x;
           this.m_impulse.y = f2r.y;
           df.x = this.m_impulse.x - f1.x;
           df.y = this.m_impulse.y - f1.y;
           df.z = this.m_impulse.z - f1.z;
           PX = df.x * this.m_perp.x + df.z * this.m_axis.x;
           PY = df.x * this.m_perp.y + df.z * this.m_axis.y;
           L1 = df.x * this.m_s1 + df.y + df.z * this.m_a1;
           L2 = df.x * this.m_s2 + df.y + df.z * this.m_a2;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        else {
           var df2 = this.m_K.Solve22(new b2Vec2(), (-Cdot1X), (-Cdot1Y));
           this.m_impulse.x += df2.x;
           this.m_impulse.y += df2.y;
           PX = df2.x * this.m_perp.x;
           PY = df2.x * this.m_perp.y;
           L1 = df2.x * this.m_s1 + df2.y;
           L2 = df2.x * this.m_s2 + df2.y;
           v1.x -= this.m_invMassA * PX;
           v1.y -= this.m_invMassA * PY;
           w1 -= this.m_invIA * L1;
           v2.x += this.m_invMassB * PX;
           v2.y += this.m_invMassB * PY;
           w2 += this.m_invIB * L2;
        }
        bA.m_linearVelocity.SetV(v1);
        bA.m_angularVelocity = w1;
        bB.m_linearVelocity.SetV(v2);
        bB.m_angularVelocity = w2;
     }
     b2PrismaticJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var limitC = 0;
        var oldLimitImpulse = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var c1 = bA.m_sweep.c;
        var a1 = bA.m_sweep.a;
        var c2 = bB.m_sweep.c;
        var a2 = bB.m_sweep.a;
        var tMat;
        var tX = 0;
        var m1 = 0;
        var m2 = 0;
        var i1 = 0;
        var i2 = 0;
        var linearError = 0.0;
        var angularError = 0.0;
        var active = false;
        var C2 = 0.0;
        var R1 = b2Mat22.FromAngle(a1);
        var R2 = b2Mat22.FromAngle(a2);
        tMat = R1;
        var r1X = this.m_localAnchor1.x - this.m_localCenterA.x;
        var r1Y = this.m_localAnchor1.y - this.m_localCenterA.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = R2;
        var r2X = this.m_localAnchor2.x - this.m_localCenterB.x;
        var r2Y = this.m_localAnchor2.y - this.m_localCenterB.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var dX = c2.x + r2X - c1.x - r1X;
        var dY = c2.y + r2Y - c1.y - r1Y;
        if (this.m_enableLimit) {
           this.m_axis = b2Math.MulMV(R1, this.m_localXAxis1);
           this.m_a1 = (dX + r1X) * this.m_axis.y - (dY + r1Y) * this.m_axis.x;
           this.m_a2 = r2X * this.m_axis.y - r2Y * this.m_axis.x;
           var translation = this.m_axis.x * dX + this.m_axis.y * dY;
           if (b2Math.Abs(this.m_upperTranslation - this.m_lowerTranslation) < 2.0 * b2Settings.b2_linearSlop) {
              C2 = b2Math.Clamp(translation, (-b2Settings.b2_maxLinearCorrection), b2Settings.b2_maxLinearCorrection);
              linearError = b2Math.Abs(translation);
              active = true;
           }
           else if (translation <= this.m_lowerTranslation) {
              C2 = b2Math.Clamp(translation - this.m_lowerTranslation + b2Settings.b2_linearSlop, (-b2Settings.b2_maxLinearCorrection), 0.0);
              linearError = this.m_lowerTranslation - translation;
              active = true;
           }
           else if (translation >= this.m_upperTranslation) {
              C2 = b2Math.Clamp(translation - this.m_upperTranslation + b2Settings.b2_linearSlop, 0.0, b2Settings.b2_maxLinearCorrection);
              linearError = translation - this.m_upperTranslation;
              active = true;
           }
        }
        this.m_perp = b2Math.MulMV(R1, this.m_localYAxis1);
        this.m_s1 = (dX + r1X) * this.m_perp.y - (dY + r1Y) * this.m_perp.x;
        this.m_s2 = r2X * this.m_perp.y - r2Y * this.m_perp.x;
        var impulse = new b2Vec3();
        var C1X = this.m_perp.x * dX + this.m_perp.y * dY;
        var C1Y = a2 - a1 - this.m_refAngle;
        linearError = b2Math.Max(linearError, b2Math.Abs(C1X));
        angularError = b2Math.Abs(C1Y);
        if (active) {
           m1 = this.m_invMassA;
           m2 = this.m_invMassB;
           i1 = this.m_invIA;
           i2 = this.m_invIB;
           this.m_K.col1.x = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           this.m_K.col1.y = i1 * this.m_s1 + i2 * this.m_s2;
           this.m_K.col1.z = i1 * this.m_s1 * this.m_a1 + i2 * this.m_s2 * this.m_a2;
           this.m_K.col2.x = this.m_K.col1.y;
           this.m_K.col2.y = i1 + i2;
           this.m_K.col2.z = i1 * this.m_a1 + i2 * this.m_a2;
           this.m_K.col3.x = this.m_K.col1.z;
           this.m_K.col3.y = this.m_K.col2.z;
           this.m_K.col3.z = m1 + m2 + i1 * this.m_a1 * this.m_a1 + i2 * this.m_a2 * this.m_a2;
           this.m_K.Solve33(impulse, (-C1X), (-C1Y), (-C2));
        }
        else {
           m1 = this.m_invMassA;
           m2 = this.m_invMassB;
           i1 = this.m_invIA;
           i2 = this.m_invIB;
           var k11 = m1 + m2 + i1 * this.m_s1 * this.m_s1 + i2 * this.m_s2 * this.m_s2;
           var k12 = i1 * this.m_s1 + i2 * this.m_s2;
           var k22 = i1 + i2;
           this.m_K.col1.Set(k11, k12, 0.0);
           this.m_K.col2.Set(k12, k22, 0.0);
           var impulse1 = this.m_K.Solve22(new b2Vec2(), (-C1X), (-C1Y));
           impulse.x = impulse1.x;
           impulse.y = impulse1.y;
           impulse.z = 0.0;
        }
        var PX = impulse.x * this.m_perp.x + impulse.z * this.m_axis.x;
        var PY = impulse.x * this.m_perp.y + impulse.z * this.m_axis.y;
        var L1 = impulse.x * this.m_s1 + impulse.y + impulse.z * this.m_a1;
        var L2 = impulse.x * this.m_s2 + impulse.y + impulse.z * this.m_a2;
        c1.x -= this.m_invMassA * PX;
        c1.y -= this.m_invMassA * PY;
        a1 -= this.m_invIA * L1;
        c2.x += this.m_invMassB * PX;
        c2.y += this.m_invMassB * PY;
        a2 += this.m_invIB * L2;
        bA.m_sweep.a = a1;
        bB.m_sweep.a = a2;
        bA.SynchronizeTransform();
        bB.SynchronizeTransform();
        return linearError <= b2Settings.b2_linearSlop && angularError <= b2Settings.b2_angularSlop;
     }
     Box2D.inherit(b2PrismaticJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2PrismaticJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2PrismaticJointDef.b2PrismaticJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
        this.localAxisA = new b2Vec2();
     };
     b2PrismaticJointDef.prototype.b2PrismaticJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_prismaticJoint;
        this.localAxisA.Set(1.0, 0.0);
        this.referenceAngle = 0.0;
        this.enableLimit = false;
        this.lowerTranslation = 0.0;
        this.upperTranslation = 0.0;
        this.enableMotor = false;
        this.maxMotorForce = 0.0;
        this.motorSpeed = 0.0;
     }
     b2PrismaticJointDef.prototype.Initialize = function (bA, bB, anchor, axis) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA = this.bodyA.GetLocalPoint(anchor);
        this.localAnchorB = this.bodyB.GetLocalPoint(anchor);
        this.localAxisA = this.bodyA.GetLocalVector(axis);
        this.referenceAngle = this.bodyB.GetAngle() - this.bodyA.GetAngle();
     }
     Box2D.inherit(b2PulleyJoint, Box2D.Dynamics.Joints.b2Joint);
     b2PulleyJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2PulleyJoint.b2PulleyJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_groundAnchor1 = new b2Vec2();
        this.m_groundAnchor2 = new b2Vec2();
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_u1 = new b2Vec2();
        this.m_u2 = new b2Vec2();
     };
     b2PulleyJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2PulleyJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2PulleyJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse * this.m_u2.x, inv_dt * this.m_impulse * this.m_u2.y);
     }
     b2PulleyJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return 0.0;
     }
     b2PulleyJoint.prototype.GetGroundAnchorA = function () {
        var a = this.m_ground.m_xf.position.Copy();
        a.Add(this.m_groundAnchor1);
        return a;
     }
     b2PulleyJoint.prototype.GetGroundAnchorB = function () {
        var a = this.m_ground.m_xf.position.Copy();
        a.Add(this.m_groundAnchor2);
        return a;
     }
     b2PulleyJoint.prototype.GetLength1 = function () {
        var p = this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
        var sX = this.m_ground.m_xf.position.x + this.m_groundAnchor1.x;
        var sY = this.m_ground.m_xf.position.y + this.m_groundAnchor1.y;
        var dX = p.x - sX;
        var dY = p.y - sY;
        return Math.sqrt(dX * dX + dY * dY);
     }
     b2PulleyJoint.prototype.GetLength2 = function () {
        var p = this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
        var sX = this.m_ground.m_xf.position.x + this.m_groundAnchor2.x;
        var sY = this.m_ground.m_xf.position.y + this.m_groundAnchor2.y;
        var dX = p.x - sX;
        var dY = p.y - sY;
        return Math.sqrt(dX * dX + dY * dY);
     }
     b2PulleyJoint.prototype.GetRatio = function () {
        return this.m_ratio;
     }
     b2PulleyJoint.prototype.b2PulleyJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        var tMat;
        var tX = 0;
        var tY = 0;
        this.m_ground = this.m_bodyA.m_world.m_groundBody;
        this.m_groundAnchor1.x = def.groundAnchorA.x - this.m_ground.m_xf.position.x;
        this.m_groundAnchor1.y = def.groundAnchorA.y - this.m_ground.m_xf.position.y;
        this.m_groundAnchor2.x = def.groundAnchorB.x - this.m_ground.m_xf.position.x;
        this.m_groundAnchor2.y = def.groundAnchorB.y - this.m_ground.m_xf.position.y;
        this.m_localAnchor1.SetV(def.localAnchorA);
        this.m_localAnchor2.SetV(def.localAnchorB);
        this.m_ratio = def.ratio;
        this.m_constant = def.lengthA + this.m_ratio * def.lengthB;
        this.m_maxLength1 = b2Math.Min(def.maxLengthA, this.m_constant - this.m_ratio * b2PulleyJoint.b2_minPulleyLength);
        this.m_maxLength2 = b2Math.Min(def.maxLengthB, (this.m_constant - b2PulleyJoint.b2_minPulleyLength) / this.m_ratio);
        this.m_impulse = 0.0;
        this.m_limitImpulse1 = 0.0;
        this.m_limitImpulse2 = 0.0;
     }
     b2PulleyJoint.prototype.InitVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var p1X = bA.m_sweep.c.x + r1X;
        var p1Y = bA.m_sweep.c.y + r1Y;
        var p2X = bB.m_sweep.c.x + r2X;
        var p2Y = bB.m_sweep.c.y + r2Y;
        var s1X = this.m_ground.m_xf.position.x + this.m_groundAnchor1.x;
        var s1Y = this.m_ground.m_xf.position.y + this.m_groundAnchor1.y;
        var s2X = this.m_ground.m_xf.position.x + this.m_groundAnchor2.x;
        var s2Y = this.m_ground.m_xf.position.y + this.m_groundAnchor2.y;
        this.m_u1.Set(p1X - s1X, p1Y - s1Y);
        this.m_u2.Set(p2X - s2X, p2Y - s2Y);
        var length1 = this.m_u1.Length();
        var length2 = this.m_u2.Length();
        if (length1 > b2Settings.b2_linearSlop) {
           this.m_u1.Multiply(1.0 / length1);
        }
        else {
           this.m_u1.SetZero();
        }
        if (length2 > b2Settings.b2_linearSlop) {
           this.m_u2.Multiply(1.0 / length2);
        }
        else {
           this.m_u2.SetZero();
        }
        var C = this.m_constant - length1 - this.m_ratio * length2;
        if (C > 0.0) {
           this.m_state = b2Joint.e_inactiveLimit;
           this.m_impulse = 0.0;
        }
        else {
           this.m_state = b2Joint.e_atUpperLimit;
        }
        if (length1 < this.m_maxLength1) {
           this.m_limitState1 = b2Joint.e_inactiveLimit;
           this.m_limitImpulse1 = 0.0;
        }
        else {
           this.m_limitState1 = b2Joint.e_atUpperLimit;
        }
        if (length2 < this.m_maxLength2) {
           this.m_limitState2 = b2Joint.e_inactiveLimit;
           this.m_limitImpulse2 = 0.0;
        }
        else {
           this.m_limitState2 = b2Joint.e_atUpperLimit;
        }
        var cr1u1 = r1X * this.m_u1.y - r1Y * this.m_u1.x;
        var cr2u2 = r2X * this.m_u2.y - r2Y * this.m_u2.x;
        this.m_limitMass1 = bA.m_invMass + bA.m_invI * cr1u1 * cr1u1;
        this.m_limitMass2 = bB.m_invMass + bB.m_invI * cr2u2 * cr2u2;
        this.m_pulleyMass = this.m_limitMass1 + this.m_ratio * this.m_ratio * this.m_limitMass2;
        this.m_limitMass1 = 1.0 / this.m_limitMass1;
        this.m_limitMass2 = 1.0 / this.m_limitMass2;
        this.m_pulleyMass = 1.0 / this.m_pulleyMass;
        if (step.warmStarting) {
           this.m_impulse *= step.dtRatio;
           this.m_limitImpulse1 *= step.dtRatio;
           this.m_limitImpulse2 *= step.dtRatio;
           var P1X = ((-this.m_impulse) - this.m_limitImpulse1) * this.m_u1.x;
           var P1Y = ((-this.m_impulse) - this.m_limitImpulse1) * this.m_u1.y;
           var P2X = ((-this.m_ratio * this.m_impulse) - this.m_limitImpulse2) * this.m_u2.x;
           var P2Y = ((-this.m_ratio * this.m_impulse) - this.m_limitImpulse2) * this.m_u2.y;
           bA.m_linearVelocity.x += bA.m_invMass * P1X;
           bA.m_linearVelocity.y += bA.m_invMass * P1Y;
           bA.m_angularVelocity += bA.m_invI * (r1X * P1Y - r1Y * P1X);
           bB.m_linearVelocity.x += bB.m_invMass * P2X;
           bB.m_linearVelocity.y += bB.m_invMass * P2Y;
           bB.m_angularVelocity += bB.m_invI * (r2X * P2Y - r2Y * P2X);
        }
        else {
           this.m_impulse = 0.0;
           this.m_limitImpulse1 = 0.0;
           this.m_limitImpulse2 = 0.0;
        }
     }
     b2PulleyJoint.prototype.SolveVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        var tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var v1X = 0;
        var v1Y = 0;
        var v2X = 0;
        var v2Y = 0;
        var P1X = 0;
        var P1Y = 0;
        var P2X = 0;
        var P2Y = 0;
        var Cdot = 0;
        var impulse = 0;
        var oldImpulse = 0;
        if (this.m_state == b2Joint.e_atUpperLimit) {
           v1X = bA.m_linearVelocity.x + ((-bA.m_angularVelocity * r1Y));
           v1Y = bA.m_linearVelocity.y + (bA.m_angularVelocity * r1X);
           v2X = bB.m_linearVelocity.x + ((-bB.m_angularVelocity * r2Y));
           v2Y = bB.m_linearVelocity.y + (bB.m_angularVelocity * r2X);
           Cdot = (-(this.m_u1.x * v1X + this.m_u1.y * v1Y)) - this.m_ratio * (this.m_u2.x * v2X + this.m_u2.y * v2Y);
           impulse = this.m_pulleyMass * ((-Cdot));
           oldImpulse = this.m_impulse;
           this.m_impulse = b2Math.Max(0.0, this.m_impulse + impulse);
           impulse = this.m_impulse - oldImpulse;
           P1X = (-impulse * this.m_u1.x);
           P1Y = (-impulse * this.m_u1.y);
           P2X = (-this.m_ratio * impulse * this.m_u2.x);
           P2Y = (-this.m_ratio * impulse * this.m_u2.y);
           bA.m_linearVelocity.x += bA.m_invMass * P1X;
           bA.m_linearVelocity.y += bA.m_invMass * P1Y;
           bA.m_angularVelocity += bA.m_invI * (r1X * P1Y - r1Y * P1X);
           bB.m_linearVelocity.x += bB.m_invMass * P2X;
           bB.m_linearVelocity.y += bB.m_invMass * P2Y;
           bB.m_angularVelocity += bB.m_invI * (r2X * P2Y - r2Y * P2X);
        }
        if (this.m_limitState1 == b2Joint.e_atUpperLimit) {
           v1X = bA.m_linearVelocity.x + ((-bA.m_angularVelocity * r1Y));
           v1Y = bA.m_linearVelocity.y + (bA.m_angularVelocity * r1X);
           Cdot = (-(this.m_u1.x * v1X + this.m_u1.y * v1Y));
           impulse = (-this.m_limitMass1 * Cdot);
           oldImpulse = this.m_limitImpulse1;
           this.m_limitImpulse1 = b2Math.Max(0.0, this.m_limitImpulse1 + impulse);
           impulse = this.m_limitImpulse1 - oldImpulse;
           P1X = (-impulse * this.m_u1.x);
           P1Y = (-impulse * this.m_u1.y);
           bA.m_linearVelocity.x += bA.m_invMass * P1X;
           bA.m_linearVelocity.y += bA.m_invMass * P1Y;
           bA.m_angularVelocity += bA.m_invI * (r1X * P1Y - r1Y * P1X);
        }
        if (this.m_limitState2 == b2Joint.e_atUpperLimit) {
           v2X = bB.m_linearVelocity.x + ((-bB.m_angularVelocity * r2Y));
           v2Y = bB.m_linearVelocity.y + (bB.m_angularVelocity * r2X);
           Cdot = (-(this.m_u2.x * v2X + this.m_u2.y * v2Y));
           impulse = (-this.m_limitMass2 * Cdot);
           oldImpulse = this.m_limitImpulse2;
           this.m_limitImpulse2 = b2Math.Max(0.0, this.m_limitImpulse2 + impulse);
           impulse = this.m_limitImpulse2 - oldImpulse;
           P2X = (-impulse * this.m_u2.x);
           P2Y = (-impulse * this.m_u2.y);
           bB.m_linearVelocity.x += bB.m_invMass * P2X;
           bB.m_linearVelocity.y += bB.m_invMass * P2Y;
           bB.m_angularVelocity += bB.m_invI * (r2X * P2Y - r2Y * P2X);
        }
     }
     b2PulleyJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var s1X = this.m_ground.m_xf.position.x + this.m_groundAnchor1.x;
        var s1Y = this.m_ground.m_xf.position.y + this.m_groundAnchor1.y;
        var s2X = this.m_ground.m_xf.position.x + this.m_groundAnchor2.x;
        var s2Y = this.m_ground.m_xf.position.y + this.m_groundAnchor2.y;
        var r1X = 0;
        var r1Y = 0;
        var r2X = 0;
        var r2Y = 0;
        var p1X = 0;
        var p1Y = 0;
        var p2X = 0;
        var p2Y = 0;
        var length1 = 0;
        var length2 = 0;
        var C = 0;
        var impulse = 0;
        var oldImpulse = 0;
        var oldLimitPositionImpulse = 0;
        var tX = 0;
        var linearError = 0.0;
        if (this.m_state == b2Joint.e_atUpperLimit) {
           tMat = bA.m_xf.R;
           r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
           r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
           r1X = tX;
           tMat = bB.m_xf.R;
           r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
           r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
           r2X = tX;
           p1X = bA.m_sweep.c.x + r1X;
           p1Y = bA.m_sweep.c.y + r1Y;
           p2X = bB.m_sweep.c.x + r2X;
           p2Y = bB.m_sweep.c.y + r2Y;
           this.m_u1.Set(p1X - s1X, p1Y - s1Y);
           this.m_u2.Set(p2X - s2X, p2Y - s2Y);
           length1 = this.m_u1.Length();
           length2 = this.m_u2.Length();
           if (length1 > b2Settings.b2_linearSlop) {
              this.m_u1.Multiply(1.0 / length1);
           }
           else {
              this.m_u1.SetZero();
           }
           if (length2 > b2Settings.b2_linearSlop) {
              this.m_u2.Multiply(1.0 / length2);
           }
           else {
              this.m_u2.SetZero();
           }
           C = this.m_constant - length1 - this.m_ratio * length2;
           linearError = b2Math.Max(linearError, (-C));
           C = b2Math.Clamp(C + b2Settings.b2_linearSlop, (-b2Settings.b2_maxLinearCorrection), 0.0);
           impulse = (-this.m_pulleyMass * C);
           p1X = (-impulse * this.m_u1.x);
           p1Y = (-impulse * this.m_u1.y);
           p2X = (-this.m_ratio * impulse * this.m_u2.x);
           p2Y = (-this.m_ratio * impulse * this.m_u2.y);
           bA.m_sweep.c.x += bA.m_invMass * p1X;
           bA.m_sweep.c.y += bA.m_invMass * p1Y;
           bA.m_sweep.a += bA.m_invI * (r1X * p1Y - r1Y * p1X);
           bB.m_sweep.c.x += bB.m_invMass * p2X;
           bB.m_sweep.c.y += bB.m_invMass * p2Y;
           bB.m_sweep.a += bB.m_invI * (r2X * p2Y - r2Y * p2X);
           bA.SynchronizeTransform();
           bB.SynchronizeTransform();
        }
        if (this.m_limitState1 == b2Joint.e_atUpperLimit) {
           tMat = bA.m_xf.R;
           r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
           r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
           r1X = tX;
           p1X = bA.m_sweep.c.x + r1X;
           p1Y = bA.m_sweep.c.y + r1Y;
           this.m_u1.Set(p1X - s1X, p1Y - s1Y);
           length1 = this.m_u1.Length();
           if (length1 > b2Settings.b2_linearSlop) {
              this.m_u1.x *= 1.0 / length1;
              this.m_u1.y *= 1.0 / length1;
           }
           else {
              this.m_u1.SetZero();
           }
           C = this.m_maxLength1 - length1;
           linearError = b2Math.Max(linearError, (-C));
           C = b2Math.Clamp(C + b2Settings.b2_linearSlop, (-b2Settings.b2_maxLinearCorrection), 0.0);
           impulse = (-this.m_limitMass1 * C);
           p1X = (-impulse * this.m_u1.x);
           p1Y = (-impulse * this.m_u1.y);
           bA.m_sweep.c.x += bA.m_invMass * p1X;
           bA.m_sweep.c.y += bA.m_invMass * p1Y;
           bA.m_sweep.a += bA.m_invI * (r1X * p1Y - r1Y * p1X);
           bA.SynchronizeTransform();
        }
        if (this.m_limitState2 == b2Joint.e_atUpperLimit) {
           tMat = bB.m_xf.R;
           r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
           r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
           r2X = tX;
           p2X = bB.m_sweep.c.x + r2X;
           p2Y = bB.m_sweep.c.y + r2Y;
           this.m_u2.Set(p2X - s2X, p2Y - s2Y);
           length2 = this.m_u2.Length();
           if (length2 > b2Settings.b2_linearSlop) {
              this.m_u2.x *= 1.0 / length2;
              this.m_u2.y *= 1.0 / length2;
           }
           else {
              this.m_u2.SetZero();
           }
           C = this.m_maxLength2 - length2;
           linearError = b2Math.Max(linearError, (-C));
           C = b2Math.Clamp(C + b2Settings.b2_linearSlop, (-b2Settings.b2_maxLinearCorrection), 0.0);
           impulse = (-this.m_limitMass2 * C);
           p2X = (-impulse * this.m_u2.x);
           p2Y = (-impulse * this.m_u2.y);
           bB.m_sweep.c.x += bB.m_invMass * p2X;
           bB.m_sweep.c.y += bB.m_invMass * p2Y;
           bB.m_sweep.a += bB.m_invI * (r2X * p2Y - r2Y * p2X);
           bB.SynchronizeTransform();
        }
        return linearError < b2Settings.b2_linearSlop;
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Joints.b2PulleyJoint.b2_minPulleyLength = 2.0;
     });
     Box2D.inherit(b2PulleyJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2PulleyJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2PulleyJointDef.b2PulleyJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.groundAnchorA = new b2Vec2();
        this.groundAnchorB = new b2Vec2();
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
     };
     b2PulleyJointDef.prototype.b2PulleyJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_pulleyJoint;
        this.groundAnchorA.Set((-1.0), 1.0);
        this.groundAnchorB.Set(1.0, 1.0);
        this.localAnchorA.Set((-1.0), 0.0);
        this.localAnchorB.Set(1.0, 0.0);
        this.lengthA = 0.0;
        this.maxLengthA = 0.0;
        this.lengthB = 0.0;
        this.maxLengthB = 0.0;
        this.ratio = 1.0;
        this.collideConnected = true;
     }
     b2PulleyJointDef.prototype.Initialize = function (bA, bB, gaA, gaB, anchorA, anchorB, r) {
        if (r === undefined) r = 0;
        this.bodyA = bA;
        this.bodyB = bB;
        this.groundAnchorA.SetV(gaA);
        this.groundAnchorB.SetV(gaB);
        this.localAnchorA = this.bodyA.GetLocalPoint(anchorA);
        this.localAnchorB = this.bodyB.GetLocalPoint(anchorB);
        var d1X = anchorA.x - gaA.x;
        var d1Y = anchorA.y - gaA.y;
        this.lengthA = Math.sqrt(d1X * d1X + d1Y * d1Y);
        var d2X = anchorB.x - gaB.x;
        var d2Y = anchorB.y - gaB.y;
        this.lengthB = Math.sqrt(d2X * d2X + d2Y * d2Y);
        this.ratio = r;
        var C = this.lengthA + this.ratio * this.lengthB;
        this.maxLengthA = C - this.ratio * b2PulleyJoint.b2_minPulleyLength;
        this.maxLengthB = (C - b2PulleyJoint.b2_minPulleyLength) / this.ratio;
     }
     Box2D.inherit(b2RevoluteJoint, Box2D.Dynamics.Joints.b2Joint);
     b2RevoluteJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2RevoluteJoint.b2RevoluteJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.K = new b2Mat22();
        this.K1 = new b2Mat22();
        this.K2 = new b2Mat22();
        this.K3 = new b2Mat22();
        this.impulse3 = new b2Vec3();
        this.impulse2 = new b2Vec2();
        this.reduced = new b2Vec2();
        this.m_localAnchor1 = new b2Vec2();
        this.m_localAnchor2 = new b2Vec2();
        this.m_impulse = new b2Vec3();
        this.m_mass = new b2Mat33();
     };
     b2RevoluteJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchor1);
     }
     b2RevoluteJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchor2);
     }
     b2RevoluteJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse.x, inv_dt * this.m_impulse.y);
     }
     b2RevoluteJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return inv_dt * this.m_impulse.z;
     }
     b2RevoluteJoint.prototype.GetJointAngle = function () {
        return this.m_bodyB.m_sweep.a - this.m_bodyA.m_sweep.a - this.m_referenceAngle;
     }
     b2RevoluteJoint.prototype.GetJointSpeed = function () {
        return this.m_bodyB.m_angularVelocity - this.m_bodyA.m_angularVelocity;
     }
     b2RevoluteJoint.prototype.IsLimitEnabled = function () {
        return this.m_enableLimit;
     }
     b2RevoluteJoint.prototype.EnableLimit = function (flag) {
        this.m_enableLimit = flag;
     }
     b2RevoluteJoint.prototype.GetLowerLimit = function () {
        return this.m_lowerAngle;
     }
     b2RevoluteJoint.prototype.GetUpperLimit = function () {
        return this.m_upperAngle;
     }
     b2RevoluteJoint.prototype.SetLimits = function (lower, upper) {
        if (lower === undefined) lower = 0;
        if (upper === undefined) upper = 0;
        this.m_lowerAngle = lower;
        this.m_upperAngle = upper;
     }
     b2RevoluteJoint.prototype.IsMotorEnabled = function () {
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        return this.m_enableMotor;
     }
     b2RevoluteJoint.prototype.EnableMotor = function (flag) {
        this.m_enableMotor = flag;
     }
     b2RevoluteJoint.prototype.SetMotorSpeed = function (speed) {
        if (speed === undefined) speed = 0;
        this.m_bodyA.SetAwake(true);
        this.m_bodyB.SetAwake(true);
        this.m_motorSpeed = speed;
     }
     b2RevoluteJoint.prototype.GetMotorSpeed = function () {
        return this.m_motorSpeed;
     }
     b2RevoluteJoint.prototype.SetMaxMotorTorque = function (torque) {
        if (torque === undefined) torque = 0;
        this.m_maxMotorTorque = torque;
     }
     b2RevoluteJoint.prototype.GetMotorTorque = function () {
        return this.m_maxMotorTorque;
     }
     b2RevoluteJoint.prototype.b2RevoluteJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        this.m_localAnchor1.SetV(def.localAnchorA);
        this.m_localAnchor2.SetV(def.localAnchorB);
        this.m_referenceAngle = def.referenceAngle;
        this.m_impulse.SetZero();
        this.m_motorImpulse = 0.0;
        this.m_lowerAngle = def.lowerAngle;
        this.m_upperAngle = def.upperAngle;
        this.m_maxMotorTorque = def.maxMotorTorque;
        this.m_motorSpeed = def.motorSpeed;
        this.m_enableLimit = def.enableLimit;
        this.m_enableMotor = def.enableMotor;
        this.m_limitState = b2Joint.e_inactiveLimit;
     }
     b2RevoluteJoint.prototype.InitVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var tX = 0;
        if (this.m_enableMotor || this.m_enableLimit) {}
        tMat = bA.m_xf.R;
        var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
        var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
        r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
        r1X = tX;
        tMat = bB.m_xf.R;
        var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
        var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
        r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
        r2X = tX;
        var m1 = bA.m_invMass;
        var m2 = bB.m_invMass;
        var i1 = bA.m_invI;
        var i2 = bB.m_invI;
        this.m_mass.col1.x = m1 + m2 + r1Y * r1Y * i1 + r2Y * r2Y * i2;
        this.m_mass.col2.x = (-r1Y * r1X * i1) - r2Y * r2X * i2;
        this.m_mass.col3.x = (-r1Y * i1) - r2Y * i2;
        this.m_mass.col1.y = this.m_mass.col2.x;
        this.m_mass.col2.y = m1 + m2 + r1X * r1X * i1 + r2X * r2X * i2;
        this.m_mass.col3.y = r1X * i1 + r2X * i2;
        this.m_mass.col1.z = this.m_mass.col3.x;
        this.m_mass.col2.z = this.m_mass.col3.y;
        this.m_mass.col3.z = i1 + i2;
        this.m_motorMass = 1.0 / (i1 + i2);
        if (this.m_enableMotor == false) {
           this.m_motorImpulse = 0.0;
        }
        if (this.m_enableLimit) {
           var jointAngle = bB.m_sweep.a - bA.m_sweep.a - this.m_referenceAngle;
           if (b2Math.Abs(this.m_upperAngle - this.m_lowerAngle) < 2.0 * b2Settings.b2_angularSlop) {
              this.m_limitState = b2Joint.e_equalLimits;
           }
           else if (jointAngle <= this.m_lowerAngle) {
              if (this.m_limitState != b2Joint.e_atLowerLimit) {
                 this.m_impulse.z = 0.0;
              }
              this.m_limitState = b2Joint.e_atLowerLimit;
           }
           else if (jointAngle >= this.m_upperAngle) {
              if (this.m_limitState != b2Joint.e_atUpperLimit) {
                 this.m_impulse.z = 0.0;
              }
              this.m_limitState = b2Joint.e_atUpperLimit;
           }
           else {
              this.m_limitState = b2Joint.e_inactiveLimit;
              this.m_impulse.z = 0.0;
           }
        }
        else {
           this.m_limitState = b2Joint.e_inactiveLimit;
        }
        if (step.warmStarting) {
           this.m_impulse.x *= step.dtRatio;
           this.m_impulse.y *= step.dtRatio;
           this.m_motorImpulse *= step.dtRatio;
           var PX = this.m_impulse.x;
           var PY = this.m_impulse.y;
           bA.m_linearVelocity.x -= m1 * PX;
           bA.m_linearVelocity.y -= m1 * PY;
           bA.m_angularVelocity -= i1 * ((r1X * PY - r1Y * PX) + this.m_motorImpulse + this.m_impulse.z);
           bB.m_linearVelocity.x += m2 * PX;
           bB.m_linearVelocity.y += m2 * PY;
           bB.m_angularVelocity += i2 * ((r2X * PY - r2Y * PX) + this.m_motorImpulse + this.m_impulse.z);
        }
        else {
           this.m_impulse.SetZero();
           this.m_motorImpulse = 0.0;
        }
     }
     b2RevoluteJoint.prototype.SolveVelocityConstraints = function (step) {
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var tMat;
        var tX = 0;
        var newImpulse = 0;
        var r1X = 0;
        var r1Y = 0;
        var r2X = 0;
        var r2Y = 0;
        var v1 = bA.m_linearVelocity;
        var w1 = bA.m_angularVelocity;
        var v2 = bB.m_linearVelocity;
        var w2 = bB.m_angularVelocity;
        var m1 = bA.m_invMass;
        var m2 = bB.m_invMass;
        var i1 = bA.m_invI;
        var i2 = bB.m_invI;
        if (this.m_enableMotor && this.m_limitState != b2Joint.e_equalLimits) {
           var Cdot = w2 - w1 - this.m_motorSpeed;
           var impulse = this.m_motorMass * ((-Cdot));
           var oldImpulse = this.m_motorImpulse;
           var maxImpulse = step.dt * this.m_maxMotorTorque;
           this.m_motorImpulse = b2Math.Clamp(this.m_motorImpulse + impulse, (-maxImpulse), maxImpulse);
           impulse = this.m_motorImpulse - oldImpulse;
           w1 -= i1 * impulse;
           w2 += i2 * impulse;
        }
        if (this.m_enableLimit && this.m_limitState != b2Joint.e_inactiveLimit) {
           tMat = bA.m_xf.R;
           r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
           r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
           r1X = tX;
           tMat = bB.m_xf.R;
           r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
           r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
           r2X = tX;
           var Cdot1X = v2.x + ((-w2 * r2Y)) - v1.x - ((-w1 * r1Y));
           var Cdot1Y = v2.y + (w2 * r2X) - v1.y - (w1 * r1X);
           var Cdot2 = w2 - w1;
           this.m_mass.Solve33(this.impulse3, (-Cdot1X), (-Cdot1Y), (-Cdot2));
           if (this.m_limitState == b2Joint.e_equalLimits) {
              this.m_impulse.Add(this.impulse3);
           }
           else if (this.m_limitState == b2Joint.e_atLowerLimit) {
              newImpulse = this.m_impulse.z + this.impulse3.z;
              if (newImpulse < 0.0) {
                 this.m_mass.Solve22(this.reduced, (-Cdot1X), (-Cdot1Y));
                 this.impulse3.x = this.reduced.x;
                 this.impulse3.y = this.reduced.y;
                 this.impulse3.z = (-this.m_impulse.z);
                 this.m_impulse.x += this.reduced.x;
                 this.m_impulse.y += this.reduced.y;
                 this.m_impulse.z = 0.0;
              }
           }
           else if (this.m_limitState == b2Joint.e_atUpperLimit) {
              newImpulse = this.m_impulse.z + this.impulse3.z;
              if (newImpulse > 0.0) {
                 this.m_mass.Solve22(this.reduced, (-Cdot1X), (-Cdot1Y));
                 this.impulse3.x = this.reduced.x;
                 this.impulse3.y = this.reduced.y;
                 this.impulse3.z = (-this.m_impulse.z);
                 this.m_impulse.x += this.reduced.x;
                 this.m_impulse.y += this.reduced.y;
                 this.m_impulse.z = 0.0;
              }
           }
           v1.x -= m1 * this.impulse3.x;
           v1.y -= m1 * this.impulse3.y;
           w1 -= i1 * (r1X * this.impulse3.y - r1Y * this.impulse3.x + this.impulse3.z);
           v2.x += m2 * this.impulse3.x;
           v2.y += m2 * this.impulse3.y;
           w2 += i2 * (r2X * this.impulse3.y - r2Y * this.impulse3.x + this.impulse3.z);
        }
        else {
           tMat = bA.m_xf.R;
           r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
           r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
           r1X = tX;
           tMat = bB.m_xf.R;
           r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
           r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
           r2X = tX;
           var CdotX = v2.x + ((-w2 * r2Y)) - v1.x - ((-w1 * r1Y));
           var CdotY = v2.y + (w2 * r2X) - v1.y - (w1 * r1X);
           this.m_mass.Solve22(this.impulse2, (-CdotX), (-CdotY));
           this.m_impulse.x += this.impulse2.x;
           this.m_impulse.y += this.impulse2.y;
           v1.x -= m1 * this.impulse2.x;
           v1.y -= m1 * this.impulse2.y;
           w1 -= i1 * (r1X * this.impulse2.y - r1Y * this.impulse2.x);
           v2.x += m2 * this.impulse2.x;
           v2.y += m2 * this.impulse2.y;
           w2 += i2 * (r2X * this.impulse2.y - r2Y * this.impulse2.x);
        }
        bA.m_linearVelocity.SetV(v1);
        bA.m_angularVelocity = w1;
        bB.m_linearVelocity.SetV(v2);
        bB.m_angularVelocity = w2;
     }
     b2RevoluteJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var oldLimitImpulse = 0;
        var C = 0;
        var tMat;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var angularError = 0.0;
        var positionError = 0.0;
        var tX = 0;
        var impulseX = 0;
        var impulseY = 0;
        if (this.m_enableLimit && this.m_limitState != b2Joint.e_inactiveLimit) {
           var angle = bB.m_sweep.a - bA.m_sweep.a - this.m_referenceAngle;
           var limitImpulse = 0.0;
           if (this.m_limitState == b2Joint.e_equalLimits) {
              C = b2Math.Clamp(angle - this.m_lowerAngle, (-b2Settings.b2_maxAngularCorrection), b2Settings.b2_maxAngularCorrection);
              limitImpulse = (-this.m_motorMass * C);
              angularError = b2Math.Abs(C);
           }
           else if (this.m_limitState == b2Joint.e_atLowerLimit) {
              C = angle - this.m_lowerAngle;
              angularError = (-C);
              C = b2Math.Clamp(C + b2Settings.b2_angularSlop, (-b2Settings.b2_maxAngularCorrection), 0.0);
              limitImpulse = (-this.m_motorMass * C);
           }
           else if (this.m_limitState == b2Joint.e_atUpperLimit) {
              C = angle - this.m_upperAngle;
              angularError = C;
              C = b2Math.Clamp(C - b2Settings.b2_angularSlop, 0.0, b2Settings.b2_maxAngularCorrection);
              limitImpulse = (-this.m_motorMass * C);
           }
           bA.m_sweep.a -= bA.m_invI * limitImpulse;
           bB.m_sweep.a += bB.m_invI * limitImpulse;
           bA.SynchronizeTransform();
           bB.SynchronizeTransform();
        } {
           tMat = bA.m_xf.R;
           var r1X = this.m_localAnchor1.x - bA.m_sweep.localCenter.x;
           var r1Y = this.m_localAnchor1.y - bA.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r1X + tMat.col2.x * r1Y);
           r1Y = (tMat.col1.y * r1X + tMat.col2.y * r1Y);
           r1X = tX;
           tMat = bB.m_xf.R;
           var r2X = this.m_localAnchor2.x - bB.m_sweep.localCenter.x;
           var r2Y = this.m_localAnchor2.y - bB.m_sweep.localCenter.y;
           tX = (tMat.col1.x * r2X + tMat.col2.x * r2Y);
           r2Y = (tMat.col1.y * r2X + tMat.col2.y * r2Y);
           r2X = tX;
           var CX = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
           var CY = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
           var CLengthSquared = CX * CX + CY * CY;
           var CLength = Math.sqrt(CLengthSquared);
           positionError = CLength;
           var invMass1 = bA.m_invMass;
           var invMass2 = bB.m_invMass;
           var invI1 = bA.m_invI;
           var invI2 = bB.m_invI;
           var k_allowedStretch = 10.0 * b2Settings.b2_linearSlop;
           if (CLengthSquared > k_allowedStretch * k_allowedStretch) {
              var uX = CX / CLength;
              var uY = CY / CLength;
              var k = invMass1 + invMass2;
              var m = 1.0 / k;
              impulseX = m * ((-CX));
              impulseY = m * ((-CY));
              var k_beta = 0.5;
              bA.m_sweep.c.x -= k_beta * invMass1 * impulseX;
              bA.m_sweep.c.y -= k_beta * invMass1 * impulseY;
              bB.m_sweep.c.x += k_beta * invMass2 * impulseX;
              bB.m_sweep.c.y += k_beta * invMass2 * impulseY;
              CX = bB.m_sweep.c.x + r2X - bA.m_sweep.c.x - r1X;
              CY = bB.m_sweep.c.y + r2Y - bA.m_sweep.c.y - r1Y;
           }
           this.K1.col1.x = invMass1 + invMass2;
           this.K1.col2.x = 0.0;
           this.K1.col1.y = 0.0;
           this.K1.col2.y = invMass1 + invMass2;
           this.K2.col1.x = invI1 * r1Y * r1Y;
           this.K2.col2.x = (-invI1 * r1X * r1Y);
           this.K2.col1.y = (-invI1 * r1X * r1Y);
           this.K2.col2.y = invI1 * r1X * r1X;
           this.K3.col1.x = invI2 * r2Y * r2Y;
           this.K3.col2.x = (-invI2 * r2X * r2Y);
           this.K3.col1.y = (-invI2 * r2X * r2Y);
           this.K3.col2.y = invI2 * r2X * r2X;
           this.K.SetM(this.K1);
           this.K.AddM(this.K2);
           this.K.AddM(this.K3);
           this.K.Solve(b2RevoluteJoint.tImpulse, (-CX), (-CY));
           impulseX = b2RevoluteJoint.tImpulse.x;
           impulseY = b2RevoluteJoint.tImpulse.y;
           bA.m_sweep.c.x -= bA.m_invMass * impulseX;
           bA.m_sweep.c.y -= bA.m_invMass * impulseY;
           bA.m_sweep.a -= bA.m_invI * (r1X * impulseY - r1Y * impulseX);
           bB.m_sweep.c.x += bB.m_invMass * impulseX;
           bB.m_sweep.c.y += bB.m_invMass * impulseY;
           bB.m_sweep.a += bB.m_invI * (r2X * impulseY - r2Y * impulseX);
           bA.SynchronizeTransform();
           bB.SynchronizeTransform();
        }
        return positionError <= b2Settings.b2_linearSlop && angularError <= b2Settings.b2_angularSlop;
     }
     Box2D.postDefs.push(function () {
        Box2D.Dynamics.Joints.b2RevoluteJoint.tImpulse = new b2Vec2();
     });
     Box2D.inherit(b2RevoluteJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2RevoluteJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2RevoluteJointDef.b2RevoluteJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
     };
     b2RevoluteJointDef.prototype.b2RevoluteJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_revoluteJoint;
        this.localAnchorA.Set(0.0, 0.0);
        this.localAnchorB.Set(0.0, 0.0);
        this.referenceAngle = 0.0;
        this.lowerAngle = 0.0;
        this.upperAngle = 0.0;
        this.maxMotorTorque = 0.0;
        this.motorSpeed = 0.0;
        this.enableLimit = false;
        this.enableMotor = false;
     }
     b2RevoluteJointDef.prototype.Initialize = function (bA, bB, anchor) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA = this.bodyA.GetLocalPoint(anchor);
        this.localAnchorB = this.bodyB.GetLocalPoint(anchor);
        this.referenceAngle = this.bodyB.GetAngle() - this.bodyA.GetAngle();
     }
     Box2D.inherit(b2WeldJoint, Box2D.Dynamics.Joints.b2Joint);
     b2WeldJoint.prototype.__super = Box2D.Dynamics.Joints.b2Joint.prototype;
     b2WeldJoint.b2WeldJoint = function () {
        Box2D.Dynamics.Joints.b2Joint.b2Joint.apply(this, arguments);
        this.m_localAnchorA = new b2Vec2();
        this.m_localAnchorB = new b2Vec2();
        this.m_impulse = new b2Vec3();
        this.m_mass = new b2Mat33();
     };
     b2WeldJoint.prototype.GetAnchorA = function () {
        return this.m_bodyA.GetWorldPoint(this.m_localAnchorA);
     }
     b2WeldJoint.prototype.GetAnchorB = function () {
        return this.m_bodyB.GetWorldPoint(this.m_localAnchorB);
     }
     b2WeldJoint.prototype.GetReactionForce = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return new b2Vec2(inv_dt * this.m_impulse.x, inv_dt * this.m_impulse.y);
     }
     b2WeldJoint.prototype.GetReactionTorque = function (inv_dt) {
        if (inv_dt === undefined) inv_dt = 0;
        return inv_dt * this.m_impulse.z;
     }
     b2WeldJoint.prototype.b2WeldJoint = function (def) {
        this.__super.b2Joint.call(this, def);
        this.m_localAnchorA.SetV(def.localAnchorA);
        this.m_localAnchorB.SetV(def.localAnchorB);
        this.m_referenceAngle = def.referenceAngle;
        this.m_impulse.SetZero();
        this.m_mass = new b2Mat33();
     }
     b2WeldJoint.prototype.InitVelocityConstraints = function (step) {
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var rAX = this.m_localAnchorA.x - bA.m_sweep.localCenter.x;
        var rAY = this.m_localAnchorA.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rAX + tMat.col2.x * rAY);
        rAY = (tMat.col1.y * rAX + tMat.col2.y * rAY);
        rAX = tX;
        tMat = bB.m_xf.R;
        var rBX = this.m_localAnchorB.x - bB.m_sweep.localCenter.x;
        var rBY = this.m_localAnchorB.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rBX + tMat.col2.x * rBY);
        rBY = (tMat.col1.y * rBX + tMat.col2.y * rBY);
        rBX = tX;
        var mA = bA.m_invMass;
        var mB = bB.m_invMass;
        var iA = bA.m_invI;
        var iB = bB.m_invI;
        this.m_mass.col1.x = mA + mB + rAY * rAY * iA + rBY * rBY * iB;
        this.m_mass.col2.x = (-rAY * rAX * iA) - rBY * rBX * iB;
        this.m_mass.col3.x = (-rAY * iA) - rBY * iB;
        this.m_mass.col1.y = this.m_mass.col2.x;
        this.m_mass.col2.y = mA + mB + rAX * rAX * iA + rBX * rBX * iB;
        this.m_mass.col3.y = rAX * iA + rBX * iB;
        this.m_mass.col1.z = this.m_mass.col3.x;
        this.m_mass.col2.z = this.m_mass.col3.y;
        this.m_mass.col3.z = iA + iB;
        if (step.warmStarting) {
           this.m_impulse.x *= step.dtRatio;
           this.m_impulse.y *= step.dtRatio;
           this.m_impulse.z *= step.dtRatio;
           bA.m_linearVelocity.x -= mA * this.m_impulse.x;
           bA.m_linearVelocity.y -= mA * this.m_impulse.y;
           bA.m_angularVelocity -= iA * (rAX * this.m_impulse.y - rAY * this.m_impulse.x + this.m_impulse.z);
           bB.m_linearVelocity.x += mB * this.m_impulse.x;
           bB.m_linearVelocity.y += mB * this.m_impulse.y;
           bB.m_angularVelocity += iB * (rBX * this.m_impulse.y - rBY * this.m_impulse.x + this.m_impulse.z);
        }
        else {
           this.m_impulse.SetZero();
        }
     }
     b2WeldJoint.prototype.SolveVelocityConstraints = function (step) {
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        var vA = bA.m_linearVelocity;
        var wA = bA.m_angularVelocity;
        var vB = bB.m_linearVelocity;
        var wB = bB.m_angularVelocity;
        var mA = bA.m_invMass;
        var mB = bB.m_invMass;
        var iA = bA.m_invI;
        var iB = bB.m_invI;
        tMat = bA.m_xf.R;
        var rAX = this.m_localAnchorA.x - bA.m_sweep.localCenter.x;
        var rAY = this.m_localAnchorA.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rAX + tMat.col2.x * rAY);
        rAY = (tMat.col1.y * rAX + tMat.col2.y * rAY);
        rAX = tX;
        tMat = bB.m_xf.R;
        var rBX = this.m_localAnchorB.x - bB.m_sweep.localCenter.x;
        var rBY = this.m_localAnchorB.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rBX + tMat.col2.x * rBY);
        rBY = (tMat.col1.y * rBX + tMat.col2.y * rBY);
        rBX = tX;
        var Cdot1X = vB.x - wB * rBY - vA.x + wA * rAY;
        var Cdot1Y = vB.y + wB * rBX - vA.y - wA * rAX;
        var Cdot2 = wB - wA;
        var impulse = new b2Vec3();
        this.m_mass.Solve33(impulse, (-Cdot1X), (-Cdot1Y), (-Cdot2));
        this.m_impulse.Add(impulse);
        vA.x -= mA * impulse.x;
        vA.y -= mA * impulse.y;
        wA -= iA * (rAX * impulse.y - rAY * impulse.x + impulse.z);
        vB.x += mB * impulse.x;
        vB.y += mB * impulse.y;
        wB += iB * (rBX * impulse.y - rBY * impulse.x + impulse.z);
        bA.m_angularVelocity = wA;
        bB.m_angularVelocity = wB;
     }
     b2WeldJoint.prototype.SolvePositionConstraints = function (baumgarte) {
        if (baumgarte === undefined) baumgarte = 0;
        var tMat;
        var tX = 0;
        var bA = this.m_bodyA;
        var bB = this.m_bodyB;
        tMat = bA.m_xf.R;
        var rAX = this.m_localAnchorA.x - bA.m_sweep.localCenter.x;
        var rAY = this.m_localAnchorA.y - bA.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rAX + tMat.col2.x * rAY);
        rAY = (tMat.col1.y * rAX + tMat.col2.y * rAY);
        rAX = tX;
        tMat = bB.m_xf.R;
        var rBX = this.m_localAnchorB.x - bB.m_sweep.localCenter.x;
        var rBY = this.m_localAnchorB.y - bB.m_sweep.localCenter.y;
        tX = (tMat.col1.x * rBX + tMat.col2.x * rBY);
        rBY = (tMat.col1.y * rBX + tMat.col2.y * rBY);
        rBX = tX;
        var mA = bA.m_invMass;
        var mB = bB.m_invMass;
        var iA = bA.m_invI;
        var iB = bB.m_invI;
        var C1X = bB.m_sweep.c.x + rBX - bA.m_sweep.c.x - rAX;
        var C1Y = bB.m_sweep.c.y + rBY - bA.m_sweep.c.y - rAY;
        var C2 = bB.m_sweep.a - bA.m_sweep.a - this.m_referenceAngle;
        var k_allowedStretch = 10.0 * b2Settings.b2_linearSlop;
        var positionError = Math.sqrt(C1X * C1X + C1Y * C1Y);
        var angularError = b2Math.Abs(C2);
        if (positionError > k_allowedStretch) {
           iA *= 1.0;
           iB *= 1.0;
        }
        this.m_mass.col1.x = mA + mB + rAY * rAY * iA + rBY * rBY * iB;
        this.m_mass.col2.x = (-rAY * rAX * iA) - rBY * rBX * iB;
        this.m_mass.col3.x = (-rAY * iA) - rBY * iB;
        this.m_mass.col1.y = this.m_mass.col2.x;
        this.m_mass.col2.y = mA + mB + rAX * rAX * iA + rBX * rBX * iB;
        this.m_mass.col3.y = rAX * iA + rBX * iB;
        this.m_mass.col1.z = this.m_mass.col3.x;
        this.m_mass.col2.z = this.m_mass.col3.y;
        this.m_mass.col3.z = iA + iB;
        var impulse = new b2Vec3();
        this.m_mass.Solve33(impulse, (-C1X), (-C1Y), (-C2));
        bA.m_sweep.c.x -= mA * impulse.x;
        bA.m_sweep.c.y -= mA * impulse.y;
        bA.m_sweep.a -= iA * (rAX * impulse.y - rAY * impulse.x + impulse.z);
        bB.m_sweep.c.x += mB * impulse.x;
        bB.m_sweep.c.y += mB * impulse.y;
        bB.m_sweep.a += iB * (rBX * impulse.y - rBY * impulse.x + impulse.z);
        bA.SynchronizeTransform();
        bB.SynchronizeTransform();
        return positionError <= b2Settings.b2_linearSlop && angularError <= b2Settings.b2_angularSlop;
     }
     Box2D.inherit(b2WeldJointDef, Box2D.Dynamics.Joints.b2JointDef);
     b2WeldJointDef.prototype.__super = Box2D.Dynamics.Joints.b2JointDef.prototype;
     b2WeldJointDef.b2WeldJointDef = function () {
        Box2D.Dynamics.Joints.b2JointDef.b2JointDef.apply(this, arguments);
        this.localAnchorA = new b2Vec2();
        this.localAnchorB = new b2Vec2();
     };
     b2WeldJointDef.prototype.b2WeldJointDef = function () {
        this.__super.b2JointDef.call(this);
        this.type = b2Joint.e_weldJoint;
        this.referenceAngle = 0.0;
     }
     b2WeldJointDef.prototype.Initialize = function (bA, bB, anchor) {
        this.bodyA = bA;
        this.bodyB = bB;
        this.localAnchorA.SetV(this.bodyA.GetLocalPoint(anchor));
        this.localAnchorB.SetV(this.bodyB.GetLocalPoint(anchor));
        this.referenceAngle = this.bodyB.GetAngle() - this.bodyA.GetAngle();
     }
  })();
  (function () {
     var b2DebugDraw = Box2D.Dynamics.b2DebugDraw;
     b2DebugDraw.b2DebugDraw = function () {
        this.m_drawScale = 1.0;
        this.m_lineThickness = 1.0;
        this.m_alpha = 1.0;
        this.m_fillAlpha = 1.0;
        this.m_xformScale = 1.0;
        var __this = this;
        //#WORKAROUND
        this.m_sprite = {
           graphics: {
              clear: function () {
                 __this.m_ctx.clearRect(0, 0, __this.m_ctx.canvas.width, __this.m_ctx.canvas.height)
              }
           }
        };
     };
     b2DebugDraw.prototype._color = function (color, alpha) {
        return "rgba(" + ((color & 0xFF0000) >> 16) + "," + ((color & 0xFF00) >> 8) + "," + (color & 0xFF) + "," + alpha + ")";
     };
     b2DebugDraw.prototype.b2DebugDraw = function () {
        this.m_drawFlags = 0;
     };
     b2DebugDraw.prototype.SetFlags = function (flags) {
        if (flags === undefined) flags = 0;
        this.m_drawFlags = flags;
     };
     b2DebugDraw.prototype.GetFlags = function () {
        return this.m_drawFlags;
     };
     b2DebugDraw.prototype.AppendFlags = function (flags) {
        if (flags === undefined) flags = 0;
        this.m_drawFlags |= flags;
     };
     b2DebugDraw.prototype.ClearFlags = function (flags) {
        if (flags === undefined) flags = 0;
        this.m_drawFlags &= ~flags;
     };
     b2DebugDraw.prototype.SetSprite = function (sprite) {
        this.m_ctx = sprite;
     };
     b2DebugDraw.prototype.GetSprite = function () {
        return this.m_ctx;
     };
     b2DebugDraw.prototype.SetDrawScale = function (drawScale) {
        if (drawScale === undefined) drawScale = 0;
        this.m_drawScale = drawScale;
     };
     b2DebugDraw.prototype.GetDrawScale = function () {
        return this.m_drawScale;
     };
     b2DebugDraw.prototype.SetLineThickness = function (lineThickness) {
        if (lineThickness === undefined) lineThickness = 0;
        this.m_lineThickness = lineThickness;
        this.m_ctx.strokeWidth = lineThickness;
     };
     b2DebugDraw.prototype.GetLineThickness = function () {
        return this.m_lineThickness;
     };
     b2DebugDraw.prototype.SetAlpha = function (alpha) {
        if (alpha === undefined) alpha = 0;
        this.m_alpha = alpha;
     };
     b2DebugDraw.prototype.GetAlpha = function () {
        return this.m_alpha;
     };
     b2DebugDraw.prototype.SetFillAlpha = function (alpha) {
        if (alpha === undefined) alpha = 0;
        this.m_fillAlpha = alpha;
     };
     b2DebugDraw.prototype.GetFillAlpha = function () {
        return this.m_fillAlpha;
     };
     b2DebugDraw.prototype.SetXFormScale = function (xformScale) {
        if (xformScale === undefined) xformScale = 0;
        this.m_xformScale = xformScale;
     };
     b2DebugDraw.prototype.GetXFormScale = function () {
        return this.m_xformScale;
     };
     b2DebugDraw.prototype.DrawPolygon = function (vertices, vertexCount, color) {
        if (!vertexCount) return;
        var s = this.m_ctx;
        var drawScale = this.m_drawScale;
        s.beginPath();
        s.strokeStyle = this._color(color.color, this.m_alpha);
        s.moveTo(vertices[0].x * drawScale, vertices[0].y * drawScale);
        for (var i = 1; i < vertexCount; i++) {
           s.lineTo(vertices[i].x * drawScale, vertices[i].y * drawScale);
        }
        s.lineTo(vertices[0].x * drawScale, vertices[0].y * drawScale);
        s.closePath();
        s.stroke();
     };
     b2DebugDraw.prototype.DrawSolidPolygon = function (vertices, vertexCount, color) {
        if (!vertexCount) return;
        var s = this.m_ctx;
        var drawScale = this.m_drawScale;
        s.beginPath();
        s.strokeStyle = this._color(color.color, this.m_alpha);
        s.fillStyle = this._color(color.color, this.m_fillAlpha);
        s.moveTo(vertices[0].x * drawScale, vertices[0].y * drawScale);
        for (var i = 1; i < vertexCount; i++) {
           s.lineTo(vertices[i].x * drawScale, vertices[i].y * drawScale);
        }
        s.lineTo(vertices[0].x * drawScale, vertices[0].y * drawScale);
        s.closePath();
        s.fill();
        s.stroke();
     };
     b2DebugDraw.prototype.DrawCircle = function (center, radius, color) {
        if (!radius) return;
        var s = this.m_ctx;
        var drawScale = this.m_drawScale;
        s.beginPath();
        s.strokeStyle = this._color(color.color, this.m_alpha);
        s.arc(center.x * drawScale, center.y * drawScale, radius * drawScale, 0, Math.PI * 2, true);
        s.closePath();
        s.stroke();
     };
     b2DebugDraw.prototype.DrawSolidCircle = function (center, radius, axis, color) {
        if (!radius) return;
        var s = this.m_ctx,
           drawScale = this.m_drawScale,
           cx = center.x * drawScale,
           cy = center.y * drawScale;
        s.moveTo(0, 0);
        s.beginPath();
        s.strokeStyle = this._color(color.color, this.m_alpha);
        s.fillStyle = this._color(color.color, this.m_fillAlpha);
        s.arc(cx, cy, radius * drawScale, 0, Math.PI * 2, true);
        s.moveTo(cx, cy);
        s.lineTo((center.x + axis.x * radius) * drawScale, (center.y + axis.y * radius) * drawScale);
        s.closePath();
        s.fill();
        s.stroke();
     };
     b2DebugDraw.prototype.DrawSegment = function (p1, p2, color) {
        var s = this.m_ctx,
           drawScale = this.m_drawScale;
        s.strokeStyle = this._color(color.color, this.m_alpha);
        s.beginPath();
        s.moveTo(p1.x * drawScale, p1.y * drawScale);
        s.lineTo(p2.x * drawScale, p2.y * drawScale);
        s.closePath();
        s.stroke();
     };
     b2DebugDraw.prototype.DrawTransform = function (xf) {
        var s = this.m_ctx,
           drawScale = this.m_drawScale;
        s.beginPath();
        s.strokeStyle = this._color(0xff0000, this.m_alpha);
        s.moveTo(xf.position.x * drawScale, xf.position.y * drawScale);
        s.lineTo((xf.position.x + this.m_xformScale * xf.R.col1.x) * drawScale, (xf.position.y + this.m_xformScale * xf.R.col1.y) * drawScale);
  
        s.strokeStyle = this._color(0xff00, this.m_alpha);
        s.moveTo(xf.position.x * drawScale, xf.position.y * drawScale);
        s.lineTo((xf.position.x + this.m_xformScale * xf.R.col2.x) * drawScale, (xf.position.y + this.m_xformScale * xf.R.col2.y) * drawScale);
        s.closePath();
        s.stroke();
     };
  })(); //post-definitions
  var i;
  for (i = 0; i < Box2D.postDefs.length; ++i) Box2D.postDefs[i]();
  delete Box2D.postDefs;