physicsjs-full-0.6.0.min.js

/**
 * PhysicsJS v0.6.0 - 2014-04-22
 * A modular, extendable, and easy-to-use physics engine for javascript
 * http://wellcaffeinated.net/PhysicsJS
 *
 * Copyright (c) 2014 Jasper Palfree <jasper@wellcaffeinated.net>
 * Licensed MIT
 */
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d,e,f=this._topics[a],g=f&&f.length,h=c.scratchpad();if(!g)return h.done(this);for(e=h.event(),e.topic=a,e.handler=d;g--;)d=f[g],d(b,e),d._one_&&f.splice(g,1);return h.done(this)},one:function(a,b,d){if(c.util.isObject(a)){for(var e in a)this.one(e,a[e],b,d);return this}return b._one_=!0,this.on(a,b,d),this}},c.util.pubsub=b}(),function(a){function b(){return l&&l.now?l.now()+l.timing.navigationStart:Date.now()}function d(){var c;j&&(c=b(),c&&(a.requestAnimationFrame(d),k.emit("tick",c)))}function e(){return j=!0,d(),this}function f(){return j=!1,this}function g(a){return k.on("tick",a),this}function h(a){return k.off("tick",a),this}function i(){return!!j}var j=!1,k=c.util.pubsub(),l=a.performance;c.util.ticker={now:b,start:e,stop:f,on:g,off:h,isActive:i}}(this),function(){var a=function(){return!0},b=c.util.indexOf,d=function(a,b){return function(c){return a(c[b])}},e=function(a,d){return function(e){e=d?e[d]:e;var f,g=0;if(c.util.isArray(e)){if(c.util.isArray(a)){if(f=e.length,f!==a.length)return!1;for(;f>g;){if(f--,-1===b(a,e[g])||-1===b(a,e[f]))return!1;g++}return!0}return b(e,a)>-1}return e===a}},f=function(a,b){var c=e(a,b);return function(a){return!c(a)}},g=function(a,d){return function(e){e=d?e[d]:e;var f,g=0;if(c.util.isArray(e)){for(f=e.length;f>g;){if(f--,b(a,e[g])>-1||b(a,e[f])>-1)return!0;g++}return!1}return b(a,e)>-1}},h=function(a,b){var c=g(a,b);return function(a){return!c(a)}},i=function(a){return a=c.vector(a),function(b){var d=b.aabb();return c.aabb.contains(d,a)}},j=function(a){return a.next?function(b){for(var c=a;c;){if(!c(b))return!1;c=c.next}return!0}:a},k=function(a){return a.next?function(b){for(var c=a;c;){if(c(b))return!0;c=c.next}return!1}:a},l={$eq:e,$ne:f,$in:g,$nin:h,$at:i},m=function n(b,f){var g,h,i,m,o,p;if(f){if("$or"===f||"$and"===f){for(g=0,h=b.length;h>g;++g)p=n(b[g]),o=o?o.next=p:m=p;return"$or"===f?k(m):j(m)}if(g=l[f])return g(b);throw"Unknown query operation: "+f}for(g in b)i=b[g],p="$"===g[0]?n(i,g):c.util.isPlainObject(i)?d(n(i),g):e(i,g),o=o?o.next=p:m=p;return j(m||a)};c.query=m}(this),function(){var a={priority:0};c.behavior=d("behavior",{init:function(b){this.options=c.util.options(a),this.options(b)},applyTo:function(a){return this._targets=a===!0?null:c.util.uniq(a),this},getTargets:function(){return this._targets||(this._world?this._world._bodies:[])},setWorld:function(a){return this.disconnect&&this._world&&this.disconnect(this._world),this._world=a,this.connect&&a&&this.connect(a),this},connect:function(a){this.behave&&a.on("integrate:positions",this.behave,this,this.options.priority)},disconnect:function(a){this.behave&&a.off("integrate:positions",this.behave)},behave:null})}(),function(){var a={hidden:!1,treatment:"dynamic",mass:1,restitution:1,cof:.8,view:null},b=1;c.body=d("body",{init:function(d){var e=c.vector;if(this.options=c.util.options(a,this),this.options(d),this.state={pos:e(this.x,this.y),vel:e(this.vx,this.vy),acc:e(),angular:{pos:this.angle||0,vel:this.angularVelocity||0,acc:0},old:{pos:e(),vel:e(),acc:e(),angular:{pos:0,vel:0,acc:0}}},delete this.x,delete this.y,delete this.vx,delete this.vy,delete this.angle,delete this.angularVelocity,0===this.mass)throw"Error: Bodies must have non-zero mass";this.uid=b++,this.geometry=c.geometry("point")},setWorld:function(a){return this.disconnect&&this._world&&this.disconnect(this._world),this._world=a,this.connect&&a&&this.connect(a),this},accelerate:function(a){return"dynamic"===this.treatment&&this.state.acc.vadd(a),this},applyForce:function(a,b){if("dynamic"!==this.treatment)return this;var d,e=c.scratchpad(),f=e.vector();return b&&this.moi&&(d=this.state,f.clone(b),this.state.angular.acc-=f.cross(a)/this.moi),this.accelerate(f.clone(a).mult(1/this.mass)),e.done(),this},aabb:function(){var a=this.state.angular.pos,b=this.geometry.aabb(a);return b.x+=this.state.pos.x,b.y+=this.state.pos.y,b},recalc:function(){return this}})}(),function(){c.geometry=d("geometry",{init:function(a){this.options=c.util.options(),this.options(a),this._aabb=new c.aabb},aabb:function(){return c.aabb.clone(this._aabb)},getFarthestHullPoint:function(a,b){return b=b||c.vector(),b.set(0,0)},getFarthestCorePoint:function(a,b){return b=b||c.vector(),b.set(0,0)}})}(),c.geometry.isPolygonConvex=function(a){var b=c.scratchpad(),d=b.vector(),e=b.vector(),f=b.vector(),g=!0,h=!1,i=a.length;if(!a||!i)return!1;if(3>i)return b.done(),g;d.clone(a[0]).vsub(f.clone(a[i-1]));for(var j=1;i>=j;++j){if(e.clone(a[j%i]).vsub(f.clone(a[(j-1)%i])),h===!1)h=d.cross(e);else if(h>0^d.cross(e)>0){g=!1;break}e.swap(d)}return b.done(),g},c.geometry.getPolygonMOI=function(a){var b,d=c.scratchpad(),e=d.vector(),f=d.vector(),g=0,h=0,i=a.length;if(2>i)return d.done(),0;if(2===i)return b=f.clone(a[1]).distSq(e.clone(a[0])),d.done(),b/12;e.clone(a[0]);for(var j=1;i>j;++j)f.clone(a[j]),b=Math.abs(f.cross(e)),g+=b*(f.normSq()+f.dot(e)+e.normSq()),h+=b,e.swap(f);return d.done(),g/(6*h)},c.geometry.isPointInPolygon=function(a,b){var d=c.scratchpad(),e=d.vector().clone(a),f=d.vector(),g=d.vector(),h=0,i=b.length;if(2>i)return h=e.equals(f.clone(b[0])),d.done(),h;if(2===i)return h=e.angle(f.clone(b[0])),h+=e.angle(f.clone(b[1])),d.done(),Math.abs(h)===Math.PI;f.clone(b[0]).vsub(e);for(var j=1;i>=j;++j)g.clone(b[j%i]).vsub(e),h+=g.angle(f),f.swap(g);return d.done(),Math.abs(h)>1e-6},c.geometry.getPolygonArea=function(a){var b=c.scratchpad(),d=b.vector(),e=b.vector(),f=0,g=a.length;if(3>g)return b.done(),0;d.clone(a[g-1]);for(var h=0;g>h;++h)e.clone(a[h]),f+=d.cross(e),d.swap(e);return b.done(),f/2},c.geometry.getPolygonCentroid=function(a){var b,d=c.scratchpad(),e=d.vector(),f=d.vector(),g=c.vector(),h=a.length;if(2>h)return d.done(),c.vector(a[0]);if(2===h)return d.done(),c.vector((a[1].x+a[0].x)/2,(a[1].y+a[0].y)/2);e.clone(a[h-1]);for(var i=0;h>i;++i)f.clone(a[i]),b=e.cross(f),e.vadd(f).mult(b),g.vadd(e),e.swap(f);return b=1/(6*c.geometry.getPolygonArea(a)),d.done(),g.mult(b)},c.geometry.nearestPointOnLine=function(a,b,d){var e,f,g=c.scratchpad(),h=g.vector().clone(a),i=g.vector().clone(b).vsub(h),j=g.vector().clone(d).vsub(h).vsub(i);return j.equals(c.vector.zero)?(g.done(),c.vector(b)):(e=-j.dot(i)/j.normSq(),f=1-e,0>=f?(g.done(),c.vector(d)):0>=e?(g.done(),c.vector(b)):(h=c.vector(d).mult(e).vadd(i.clone(b).mult(f)),g.done(),h))},function(){var a={drag:0};c.integrator=d("integrator",{init:function(){this.options=c.util.options(a)},setWorld:function(a){return this.disconnect&&this._world&&this.disconnect(this._world),this._world=a,this.connect&&a&&this.connect(a),this},integrate:function(a,b){var c=this._world;return this.integrateVelocities(a,b),c&&c.emit("integrate:velocities",{bodies:a,dt:b}),this.integratePositions(a,b),c&&c.emit("integrate:positions",{bodies:a,dt:b}),this},connect:null,disconnect:null,integrateVelocities:function(){throw"The integrator.integrateVelocities() method must be overriden"},integratePositions:function(){throw"The integrator.integratePositions() method must be overriden"}})}(),function(){var a={meta:!1,metaRefresh:200,width:600,height:600};c.renderer=d("renderer",{init:function(d){var e="string"==typeof d.el?b.getElementById(d.el):d.el;this.options=c.util.extend({},a,d),this.el=e?e:b.body,this.drawMeta=c.util.throttle(c.util.bind(this.drawMeta,this),this.options.metaRefresh)},setWorld:function(a){return this.disconnect&&this._world&&this.disconnect(this._world),this._world=a,this.connect&&a&&this.connect(a),this},render:function(a,b){var c,d;this.beforeRender&&this.beforeRender(),this._world.emit("beforeRender",{renderer:this,bodies:a,meta:b}),this.options.meta&&this.drawMeta(b),this._interpolateTime=b.interpolateTime;for(var e=0,f=a.length;f>e;++e)c=a[e],d=c.view||(c.view=this.createView(c.geometry,c.styles)),c.hidden||this.drawBody(c,d);return this},createView:function(){throw"You must override the renderer.createView() method."},drawMeta:function(){throw"You must override the renderer.drawMeta() method."},drawBody:function(){throw"You must override the renderer.drawBody() method."}})}(),function(){var a=function e(a,b,c){for(var d,f,g=function(){return e(a,b,c)};d=a.shift();)if(f=d.apply(b,c),f&&f.then)return f.then(g)},b={timestep:1e3/120,maxIPF:16,webworker:!1,integrator:"verlet"},d=function f(a,b){return this instanceof f?(this.init(a,b),void 0):new f(a,b)};d.prototype=c.util.extend({},c.util.pubsub.prototype,{init:function(d,e){var f=this;(c.util.isFunction(d)||c.util.isArray(d))&&(e=d,d={}),this._meta={fps:0,ipf:0},this._bodies=[],this._behaviors=[],this._integrator=null,this._renderer=null,this._paused=!1,this._warp=1,this._time=0,this.options=c.util.options(b),this.options.onChange(function(a){f.timestep(a.timestep)}),this.options(d),this.add(c.integrator(this.options.integrator)),c.util.isFunction(e)?a([e],this,[this,c]):c.util.isArray(e)&&a(e,this,[this,c])},options:null,add:function(a){var b=0,c=a&&a.length||0,d=c?a[0]:a;if(!d)return this;do switch(d.type){case"behavior":this.addBehavior(d);break;case"integrator":this.integrator(d);break;case"renderer":this.renderer(d);break;case"body":this.addBody(d);break;default:throw'Error: failed to add item of unknown type "'+d.type+'" to world'}while(++b<c&&(d=a[b]));return this},remove:function(a){var b=0,c=a&&a.length||0,d=c?a[0]:a;if(!d)return this;do switch(d.type){case"behavior":this.removeBehavior(d);break;case"integrator":d===this._integrator&&this.integrator(null);break;case"renderer":d===this._renderer&&this.renderer(null);break;case"body":this.removeBody(d);break;default:throw'Error: failed to remove item of unknown type "'+d.type+'" from world'}while(++b<c&&(d=a[b]));return this},has:function(a){var b;if(!a)return!1;switch(a.type){case"behavior":b=this._behaviors;break;case"integrator":return this._integrator===a;case"renderer":return this._renderer===a;case"body":b=this._bodies;break;default:throw'Error: unknown type "'+a.type+'"'}return c.util.indexOf(b,a)>-1},integrator:function(a){return void 0===a?this._integrator:this._integrator===a?this:(this._integrator&&(this._integrator.setWorld(null),this.emit("remove:integrator",{integrator:this._integrator})),a&&(this._integrator=a,this._integrator.setWorld(this),this.emit("add:integrator",{integrator:this._integrator})),this)},renderer:function(a){return void 0===a?this._renderer:this._renderer===a?this:(this._renderer&&(this._renderer.setWorld(null),this.emit("remove:renderer",{renderer:this._renderer})),a&&(this._renderer=a,this._renderer.setWorld(this),this.emit("add:renderer",{renderer:this._renderer})),this)},timestep:function(a){return a?(this._dt=a,this._maxJump=a*this.options.maxIPF,this):this._dt},addBehavior:function(a){return this.has(a)?this:(a.setWorld(this),this._behaviors.push(a),this.emit("add:behavior",{behavior:a}),this)},getBehaviors:function(){return[].concat(this._behaviors)},removeBehavior:function(a){var b=this._behaviors;if(a)for(var c=0,d=b.length;d>c;++c)if(a===b[c]){b.splice(c,1),a.setWorld(null),this.emit("remove:behavior",{behavior:a});break}return this},addBody:function(a){return this.has(a)?this:(a.setWorld(this),this._bodies.push(a),this.emit("add:body",{body:a}),this)},getBodies:function(){return[].concat(this._bodies)},removeBody:function(a){var b=this._bodies;if(a)for(var c=0,d=b.length;d>c;++c)if(a===b[c]){b.splice(c,1),a.setWorld(null),this.emit("remove:body",{body:a});break}return this},findOne:function(a){var b=this,d="function"==typeof a?a:c.query(a);return c.util.find(b._bodies,d)||!1},find:function(a){var b=this,d="function"==typeof a?a:c.query(a);return c.util.filter(b._bodies,d)},iterate:function(a){this._integrator.integrate(this._bodies,a)},step:function(a){var b,d,e,f=this._time,g=this._warp,h=1/g,i=this._dt,j=i*h,k=this._maxJump*h,l=this._meta;if(this._paused||void 0===this._animTime)return this._animTime=a||this._animTime||c.util.ticker.now(),this._paused||this.emit("step",l),this;if(a=a||this._animTime+j,b=a-this._animTime,b>k&&(this._animTime=a-k,b=k),d=b*g,e=f+d-i,e>=f)for(;e>=f;)f+=i,this._animTime+=j,this._time=f,this.iterate(i);return l.fps=1e3/(a-this._lastTime),l.ipf=(d/i).toFixed(2),l.interpolateTime=i+e-f,this._lastTime=a,this.emit("step",l),this},warp:function(a){return void 0===a?this._warp:(this._warp=a||1,this)},render:function(){if(!this._renderer)throw"No renderer added to world";return this._renderer.render(this._bodies,this._meta),this.emit("render",{bodies:this._bodies,meta:this._meta,renderer:this._renderer}),this},pause:function(){return this._paused=!0,this.emit("pause"),this},unpause:function(){return this._paused=!1,this.emit("unpause"),this},isPaused:function(){return!!this._paused},destroy:function(){var a=this;a.pause(),this.emit("destroy"),a.off(!0),a.remove(a.getBodies()),a.remove(a.getBehaviors()),a.integrator(null),a.renderer(null)}}),c.world=d}(),c.integrator("verlet",function(a){return c.body.mixin({started:function(a){return void 0!==a&&(this._started=!0),!!this._started}}),{init:function(b){a.init.call(this,b)},integrateVelocities:function(a,b){for(var c,d=b*b,e=1-this.options.drag,f=null,g=0,h=a.length;h>g;++g)f=a[g],c=f.state,"static"!==f.treatment?(c.vel.equals(c.old.vel)&&f.started()?c.vel.clone(c.pos).vsub(c.old.pos):(c.old.pos.clone(c.pos).vsub(c.vel),c.vel.mult(b)),e&&c.vel.mult(e),c.vel.vadd(c.acc.mult(d)),c.vel.mult(1/b),c.old.vel.clone(c.vel),c.acc.zero(),c.angular.vel===c.old.angular.vel&&f.started()?c.angular.vel=c.angular.pos-c.old.angular.pos:(c.old.angular.pos=c.angular.pos-c.angular.vel,c.angular.vel*=b),c.angular.vel+=c.angular.acc*d,c.angular.vel/=b,c.old.angular.vel=c.angular.vel,c.angular.acc=0,f.started(!0)):(c.vel.zero(),c.acc.zero(),c.angular.vel=0,c.angular.acc=0)},integratePositions:function(a,b){for(var c,d=null,e=0,f=a.length;f>e;++e)d=a[e],c=d.state,"static"!==d.treatment&&(c.vel.mult(b),c.old.pos.clone(c.pos),c.pos.vadd(c.vel),c.vel.mult(1/b),c.old.vel.clone(c.vel),c.angular.vel*=b,c.old.angular.pos=c.angular.pos,c.angular.pos+=c.angular.vel,c.angular.vel/=b,c.old.angular.vel=c.angular.vel)}}}),c.geometry("point",function(){}),c.body("point",function(a){return{init:function(b){a.init.call(this,b),this.moi=0}}}),c.geometry("circle",function(a){var b={radius:1};return{init:function(d){a.init.call(this,d),this.options.defaults(b),this.options.onChange(function(a){this.radius=a.radius}),this.options(d),this._aabb=c.aabb(),this.radius=this.options.radius},aabb:function(){var a=this.radius;return this._aabb.hw!==a&&(this._aabb=c.aabb(-a,-a,a,a)),c.aabb.clone(this._aabb)},getFarthestHullPoint:function(a,b){return b=b||c.vector(),b.clone(a).normalize().mult(this.radius)},getFarthestCorePoint:function(a,b,d){return b=b||c.vector(),b.clone(a).normalize().mult(this.radius-d)}}}),c.geometry("convex-polygon",function(a){var b="Error: The vertices specified do not match that of a _convex_ polygon.",d={};return{init:function(b){var c=this;a.init.call(this,b),this.options.defaults(d),this.options.onChange(function(a){c.setVertices(a.vertices||[])}),this.options(b),c.setVertices(this.options.vertices||[])},setVertices:function(a){var d=c.scratchpad(),e=d.transform(),f=this.vertices=[];if(!c.geometry.isPolygonConvex(a))throw b;e.setRotation(0),e.setTranslation(c.geometry.getPolygonCentroid(a).negate());for(var g=0,h=a.length;h>g;++g)f.push(c.vector(a[g]).translate(e));return this._area=c.geometry.getPolygonArea(f),this._aabb=!1,d.done(),this},aabb:function(a){if(!a&&this._aabb)return c.aabb.clone(this._aabb);var b,d=c.scratchpad(),e=d.vector(),f=d.transform().setRotation(a||0),g=d.vector().set(1,0).rotateInv(f),h=d.vector().set(0,1).rotateInv(f),i=this.getFarthestHullPoint(g,e).proj(g),j=-this.getFarthestHullPoint(g.negate(),e).proj(g),k=this.getFarthestHullPoint(h,e).proj(h),l=-this.getFarthestHullPoint(h.negate(),e).proj(h);return b=c.aabb(j,l,i,k),a||(this._aabb=c.aabb.clone(b)),d.done(),b},getFarthestHullPoint:function(a,b,d){var e,f,g,h=this.vertices,i=h.length,j=2;if(b=b||c.vector(),2>i)return d&&(d.idx=0),b.clone(h[0]);if(f=h[0].dot(a),e=h[1].dot(a),2===i)return g=e>=f?1:0,d&&(d.idx=g),b.clone(h[g]);if(e>=f){for(;i>j&&e>=f;)f=e,e=h[j].dot(a),j++;return e>=f&&j++,g=j-2,d&&(d.idx=j-2),b.clone(h[g])}for(j=i;j>1&&f>=e;)j--,e=f,f=h[j].dot(a);return g=(j+1)%i,d&&(d.idx=g),b.clone(h[g])},getFarthestCorePoint:function(a,b,d){var e,f=c.scratchpad(),g=f.vector(),h=f.vector(),i=this.vertices,j=i.length,k=this._area>0,l={};return b=this.getFarthestHullPoint(a,b,l),g.clone(i[(l.idx+1)%j]).vsub(b).normalize().perp(k),h.clone(i[(l.idx-1+j)%j]).vsub(b).normalize().perp(!k),e=d/(1+g.dot(h)),b.vadd(g.vadd(h).mult(e)),f.done(),b
}}}),c.geometry("rectangle",function(a){var b={};return{init:function(c){var d=this;a.init.call(this,c),this.options.defaults(b),this.options.onChange(function(){d.width=d.options.width||1,d.height=d.options.height||1}),this.options(c)},aabb:function(a){if(!a)return c.aabb(this.width,this.height);var b=c.scratchpad(),d=b.vector(),e=b.transform().setRotation(a||0),f=b.vector().set(1,0).rotateInv(e),g=b.vector().set(0,1).rotateInv(e),h=this.getFarthestHullPoint(f,d).proj(f),i=-this.getFarthestHullPoint(f.negate(),d).proj(f),j=this.getFarthestHullPoint(g,d).proj(g),k=-this.getFarthestHullPoint(g.negate(),d).proj(g);return b.done(),c.aabb(i,k,h,j)},getFarthestHullPoint:function(a,b){b=b||new c.vector;var d=a.x,e=a.y;return d=0===d?0:0>d?.5*-this.width:.5*this.width,e=0===e?0:0>e?.5*-this.height:.5*this.height,b.set(d,e)},getFarthestCorePoint:function(a,b,c){var d,e;return b=this.getFarthestHullPoint(a,b),d=b.x,e=b.y,b.x=0===d?0:0>d?d+c:d-c,b.y=0===e?0:0>e?e+c:e-c,b}}}),c.body("circle",function(a){var b={radius:1};return{init:function(d){a.init.call(this,d),d=c.util.extend({},b,d),this.geometry=c.geometry("circle",{radius:d.radius}),this.recalc()},recalc:function(){a.recalc.call(this),this.moi=this.mass*this.geometry.radius*this.geometry.radius/2}}}),c.body("convex-polygon",function(a){var b={};return{init:function(d){a.init.call(this,d),d=c.util.extend({},b,d),this.geometry=c.geometry("convex-polygon",{vertices:d.vertices}),this.recalc()},recalc:function(){a.recalc.call(this),this.moi=c.geometry.getPolygonMOI(this.geometry.vertices)}}}),c.body("rectangle",function(a){var b={};return{init:function(d){a.init.call(this,d),d=c.util.extend({},b,d),this.geometry=c.geometry("rectangle",{width:d.width,height:d.height}),this.recalc()},recalc:function(){var b=this.geometry.width,c=this.geometry.height;a.recalc.call(this),this.moi=(b*b+c*c)*this.mass/12}}}),c.behavior("attractor",function(a){var b={pos:null,strength:1,order:2,max:!1,min:!1};return{init:function(d){var e=this;this._pos=new c.vector,a.init.call(this),this.options.defaults(b),this.options.onChange(function(a){e._maxDist=a.max===!1?1/0:a.max,e._minDist=a.min?a.min:10,e.position(a.pos)}),this.options(d)},position:function(a){var b=this;return a?(this._pos.clone(a),b):this._pos.values()},behave:function(){for(var a,b,d,e=this.getTargets(),f=this.options.order,g=this.options.strength,h=this._minDist,i=this._maxDist,j=c.scratchpad(),k=j.vector(),l=0,m=e.length;m>l;l++)a=e[l],k.clone(this._pos),k.vsub(a.state.pos),b=k.norm(),b>h&&i>b&&(d=g/Math.pow(b,f),a.accelerate(k.normalize().mult(d)));j.done()}}}),c.behavior("body-collision-detection",function(a){var b=[],d=function(a,d){var e=c.util.pairHash(a.uid,d.uid),f=b[e];return f||(f=b[e]=function(b){var e=c.scratchpad(),g=f.tA,h=f.tB,i=e.vector(),j=e.vector(),k=f.marginA,l=f.marginB;return f.useCore?(i=a.geometry.getFarthestCorePoint(b.rotateInv(g),i,k).transform(g),j=d.geometry.getFarthestCorePoint(b.rotate(g).rotateInv(h).negate(),j,l).transform(h)):(i=a.geometry.getFarthestHullPoint(b.rotateInv(g),i).transform(g),j=d.geometry.getFarthestHullPoint(b.rotate(g).rotateInv(h).negate(),j).transform(h)),b.negate().rotate(h),e.done({a:i.values(),b:j.values(),pt:i.vsub(j).values()})},f.tA=c.transform(),f.tB=c.transform()),f.useCore=!1,f.margin=0,f.tA.setTranslation(a.state.pos).setRotation(a.state.angular.pos),f.tB.setTranslation(d.state.pos).setRotation(d.state.angular.pos),f.bodyA=a,f.bodyB=d,f},e=function(a,b){var e,f,g,h=c.scratchpad(),i=h.vector(),j=h.vector(),k=!1,l=a.aabb(),m=Math.min(l.hw,l.hh),n=b.aabb(),o=Math.min(n.hw,n.hh);if(g=d(a,b),i.clone(a.state.pos).vsub(b.state.pos),f=c.gjk(g,i,!0),f.overlap){for(k={bodyA:a,bodyB:b},g.useCore=!0,g.marginA=0,g.marginB=0;f.overlap&&(g.marginA<m||g.marginB<o);)g.marginA<m&&(g.marginA+=1),g.marginB<o&&(g.marginB+=1),f=c.gjk(g,i);if(f.overlap||f.maxIterationsReached)return h.done(!1);e=Math.max(0,g.marginA+g.marginB-f.distance),k.overlap=e,k.norm=i.clone(f.closest.b).vsub(j.clone(f.closest.a)).normalize().values(),k.mtv=i.mult(e).values(),k.pos=i.clone(k.norm).mult(g.margin).vadd(j.clone(f.closest.a)).vsub(a.state.pos).values()}return h.done(k)},f=function(a,b){var d,e=c.scratchpad(),f=e.vector(),g=(e.vector(),!1);return f.clone(b.state.pos).vsub(a.state.pos),d=f.norm()-(a.geometry.radius+b.geometry.radius),f.equals(c.vector.zero)&&f.set(1,0),0>=d&&(g={bodyA:a,bodyB:b,norm:f.normalize().values(),mtv:f.mult(-d).values(),pos:f.normalize().mult(a.geometry.radius).values(),overlap:-d}),e.done(g)},g=function(a,b){return"static"!==a.treatment&&"kinematic"!==a.treatment||"static"!==b.treatment&&"kinematic"!==b.treatment?"circle"===a.geometry.name&&"circle"===b.geometry.name?f(a,b):e(a,b):!1},h={check:"collisions:candidates",channel:"collisions:detected"};return{init:function(b){a.init.call(this),this.options.defaults(h),this.options(b)},connect:function(a){this.options.check===!0?a.on("integrate:velocities",this.checkAll,this):a.on(this.options.check,this.check,this)},disconnect:function(a){this.options.check===!0?a.off("integrate:velocities",this.checkAll):a.off(this.options.check,this.check)},check:function(a){for(var b,d,e=a.candidates,f=this.getTargets(),h=[],i=0,j=e.length;j>i;++i)b=e[i],(f===this._world._bodies||c.util.indexOf(f,b.bodyA)>-1&&c.util.indexOf(f,b.bodyB)>-1)&&(d=g(b.bodyA,b.bodyB),d&&h.push(d));h.length&&this._world.emit(this.options.channel,{collisions:h})},checkAll:function(a){for(var b,c,d,e=this.getTargets(),f=(a.dt,[]),h=0,i=e.length;i>h;h++){b=e[h];for(var j=h+1;i>j;j++)c=e[j],d=g(b,c),d&&f.push(d)}f.length&&this._world.emit(this.options.channel,{collisions:f})}}}),c.behavior("body-impulse-response",function(a){var b={check:"collisions:detected"};return{init:function(c){a.init.call(this),this.options.defaults(b),this.options(c)},applyTo:!1,connect:function(a){a.on(this.options.check,this.respond,this)},disconnect:function(a){a.off(this.options.check,this.respond)},collideBodies:function(a,b,d,e,f,g){var h="static"===a.treatment||"kinematic"===a.treatment,i="static"===b.treatment||"kinematic"===b.treatment,j=c.scratchpad(),k=j.vector().clone(f);if(h&&i)return j.done(),void 0;h?b.state.pos.vadd(k):i?a.state.pos.vsub(k):(k.mult(.5),a.state.pos.vsub(k),b.state.pos.vadd(k));var l,m,n,o=h?0:1/a.moi,p=i?0:1/b.moi,q=h?0:1/a.mass,r=i?0:1/b.mass,s=g?0:a.restitution*b.restitution,t=a.cof*b.cof,u=j.vector().clone(d),v=j.vector().clone(u).perp(),w=j.vector().clone(e),x=j.vector().clone(e).vadd(a.state.pos).vsub(b.state.pos),y=j.vector(),z=a.state.angular.vel,A=b.state.angular.vel,B=j.vector().clone(b.state.vel).vadd(y.clone(x).perp().mult(A)).vsub(a.state.vel).vsub(y.clone(w).perp().mult(z)),C=w.proj(u),D=w.proj(v),E=x.proj(u),F=x.proj(v),G=B.proj(u),H=B.proj(v),I=!1;return G>=0?(j.done(),void 0):(o=1/0===o?0:o,p=1/0===p?0:p,l=-((1+s)*G)/(q+r+o*D*D+p*F*F),h?(b.state.vel.vadd(u.mult(l*r)),b.state.angular.vel-=l*p*F):i?(a.state.vel.vsub(u.mult(l*q)),a.state.angular.vel+=l*o*D):(b.state.vel.vadd(u.mult(l*r)),b.state.angular.vel-=l*p*F,a.state.vel.vsub(u.mult(q*b.mass)),a.state.angular.vel+=l*o*D),t&&H&&(n=H/(q+r+o*C*C+p*E*E),I?l=n:(m=0>H?-1:1,l*=m*t,l=1===m?Math.min(l,n):Math.max(l,n)),h?(b.state.vel.vsub(v.mult(l*r)),b.state.angular.vel-=l*p*E):i?(a.state.vel.vadd(v.mult(l*q)),a.state.angular.vel+=l*o*C):(b.state.vel.vsub(v.mult(l*r)),b.state.angular.vel-=l*p*E,a.state.vel.vadd(v.mult(q*b.mass)),a.state.angular.vel+=l*o*C)),j.done(),void 0)},respond:function(a){for(var b,d=this,e=c.util.shuffle(a.collisions),f=0,g=e.length;g>f;++f)b=e[f],d.collideBodies(b.bodyA,b.bodyB,b.norm,b.pos,b.mtv)}}}),c.behavior("constant-acceleration",function(a){var b={acc:{x:0,y:4e-4}};return{init:function(d){a.init.call(this),this.options.defaults(b),this.options(d),this._acc=c.vector(),this.setAcceleration(this.options.acc),delete this.options.acc},setAcceleration:function(a){return this._acc.clone(a),this},behave:function(){for(var a=this.getTargets(),b=0,c=a.length;c>b;++b)a[b].accelerate(this._acc)}}}),c.behavior("edge-collision-detection",function(a){var b=function(a,b,d){var e,f=a.aabb(),g=c.scratchpad(),h=g.transform(),i=g.vector(),j=g.vector(),k=!1,l=[];return e=f.x+f.hw-b.max.x,e>=0&&(i.set(1,0).rotateInv(h.setRotation(a.state.angular.pos)),k={bodyA:a,bodyB:d,overlap:e,norm:{x:1,y:0},mtv:{x:e,y:0},pos:a.geometry.getFarthestHullPoint(i,j).rotate(h).values()},l.push(k)),e=f.y+f.hh-b.max.y,e>=0&&(i.set(0,1).rotateInv(h.setRotation(a.state.angular.pos)),k={bodyA:a,bodyB:d,overlap:e,norm:{x:0,y:1},mtv:{x:0,y:e},pos:a.geometry.getFarthestHullPoint(i,j).rotate(h).values()},l.push(k)),e=b.min.x-(f.x-f.hw),e>=0&&(i.set(-1,0).rotateInv(h.setRotation(a.state.angular.pos)),k={bodyA:a,bodyB:d,overlap:e,norm:{x:-1,y:0},mtv:{x:-e,y:0},pos:a.geometry.getFarthestHullPoint(i,j).rotate(h).values()},l.push(k)),e=b.min.y-(f.y-f.hh),e>=0&&(i.set(0,-1).rotateInv(h.setRotation(a.state.angular.pos)),k={bodyA:a,bodyB:d,overlap:e,norm:{x:0,y:-1},mtv:{x:0,y:-e},pos:a.geometry.getFarthestHullPoint(i,j).rotate(h).values()},l.push(k)),g.done(),l},d=function(a,c,d){return b(a,c,d)},e={aabb:null,restitution:.99,cof:1,channel:"collisions:detected"};return{init:function(b){a.init.call(this),this.options.defaults(e),this.options(b),this.setAABB(this.options.aabb),this.restitution=this.options.restitution,this.body=c.body("point",{treatment:"static",restitution:this.options.restitution,cof:this.options.cof})},setAABB:function(a){if(!a)throw"Error: aabb not set";return this._edges={min:{x:a.x-a.hw,y:a.y-a.hh},max:{x:a.x+a.hw,y:a.y+a.hh}},this},connect:function(a){a.on("integrate:velocities",this.checkAll,this)},disconnect:function(a){a.off("integrate:velocities",this.checkAll)},checkAll:function(a){for(var b,c,e=this.getTargets(),f=(a.dt,[]),g=this._edges,h=this.body,i=0,j=e.length;j>i;i++)b=e[i],"dynamic"===b.treatment&&(c=d(b,g,h),c&&f.push.apply(f,c));f.length&&this._world.emit(this.options.channel,{collisions:f})}}}),c.behavior("interactive",function(a){if(!b)return{};var d={el:null,moveThrottle:10,minVel:{x:-5,y:-5},maxVel:{x:5,y:5}},e=function(a){var b=0,c=0;if(a.offsetParent)do b+=a.offsetLeft,c+=a.offsetTop;while(a=a.offsetParent);return{left:b,top:c}},f=function(a){var b=e(a.target),c=a.changedTouches&&a.changedTouches[0]||a,d=c.pageX-b.left,f=c.pageY-b.top;return{x:d,y:f}};return{init:function(e){var g,h,i=this;if(a.init.call(this),this.options.defaults(d),this.options(e),this.mousePos=new c.vector,this.mousePosOld=new c.vector,this.offset=new c.vector,this.el="string"==typeof this.options.el?b.getElementById(this.options.el):this.options.el,!this.el)throw"No DOM element specified";var j=function(a){var b,d=f(a);i._world&&(b=i._world.findOne({$at:new c.vector(d.x,d.y)}),b?(g=b.treatment,b.treatment="kinematic",b.state.vel.zero(),b.state.angular.vel=0,i.body=b,i.mousePos.clone(d),i.offset.clone(d).vsub(b.state.pos),d.body=b,i._world.emit("interact:grab",d)):i._world.emit("interact:poke",d))},k=c.util.throttle(function(a){var b=f(a);i.body&&(h=c.util.ticker.now(),i.mousePosOld.clone(i.mousePos),i.mousePos.set(b.x,b.y),b.body=i.body),i._world.emit("interact:move",b)},i.options.moveThrottle),l=function(a){var b=f(a),d=Math.max(c.util.ticker.now()-h,i.options.moveThrottle);i.mousePos.set(b.x,b.y),i.body&&(i.body.treatment=g,i.body.state.vel.clone(i.mousePos).vsub(i.mousePosOld).mult(1/d),i.body.state.vel.clamp(i.options.minVel,i.options.maxVel),i.body=!1),i._world&&i._world.emit("interact:release",b)};this.el.addEventListener("mousedown",j),this.el.addEventListener("touchstart",j),this.el.addEventListener("mousemove",k),this.el.addEventListener("touchmove",k),this.el.addEventListener("mouseup",l),this.el.addEventListener("touchend",l)},connect:function(a){a.on("integrate:positions",this.behave,this)},disconnect:function(a){a.off("integrate:positions",this.behave)},behave:function(a){var b,c=this,d=Math.max(a.dt,c.options.moveThrottle);c.body&&(b=c.body.state,b.vel.clone(c.mousePos).vsub(c.offset).vsub(b.pos).mult(1/d))}}}),c.behavior("newtonian",function(a){var b={strength:1,max:!1,min:!1};return{init:function(c){var d=this;a.init.call(this),this.options.defaults(b),this.options.onChange(function(a){d._maxDistSq=a.max===!1?1/0:a.max*a.max,d._minDistSq=a.min?a.min*a.min:100*a.strength}),this.options(c)},behave:function(){for(var a,b,d,e,f=this.getTargets(),g=this.options.strength,h=this._minDistSq,i=this._maxDistSq,j=c.scratchpad(),k=j.vector(),l=0,m=f.length;m>l;l++){a=f[l];for(var n=l+1;m>n;n++)b=f[n],k.clone(b.state.pos),k.vsub(a.state.pos),d=k.normSq(),d>h&&i>d&&(e=g/d,a.accelerate(k.normalize().mult(e*b.mass)),b.accelerate(k.mult(a.mass/b.mass).negate()))}j.done()}}}),c.behavior("sweep-prune",function(a){var b=1,d=function(){return b++},e={x:0,y:1},f=2,g=c.util.pairHash;return{init:function(b){a.init.call(this),this.options.defaults({channel:"collisions:candidates"}),this.options(b),this.encounters=[],this.candidates=[],this.clear()},clear:function(){this.tracked=[],this.pairs=[],this.intervalLists=[];for(var a=0;f>a;++a)this.intervalLists[a]=[]},connect:function(a){a.on("add:body",this.trackBody,this),a.on("remove:body",this.untrackBody,this),a.on("integrate:velocities",this.sweep,this);for(var b=a.getBodies(),c=0,d=b.length;d>c;++c)this.trackBody({body:b[c]})},disconnect:function(a){a.off("add:body",this.trackBody),a.off("remove:body",this.untrackBody),a.off("integrate:velocities",this.sweep),this.clear()},broadPhase:function(){return this.updateIntervals(),this.sortIntervalLists(),this.checkOverlaps()},sortIntervalLists:function(){for(var a,b,c,d,e,g,h,i,j,k=0;f>k;++k)for(a=this.intervalLists[k],c=0,b=a.length,j=k;++c<b;){for(e=a[c],g=e.val.get(j),d=c,h=a[d-1],i=h&&h.val.get(j);d>0&&(i>g||i===g&&h.type&&!e.type);)a[d]=h,d--,h=a[d-1],i=h&&h.val.get(j);a[d]=e}},getPair:function(a,b,c){var d=g(a.id,b.id);if(d===!1)return null;var e=this.pairs[d];if(!e){if(!c)return null;e=this.pairs[d]={bodyA:a.body,bodyB:b.body,flag:1}}return e},checkOverlaps:function(){var a,b,c,d,g,h,i,j,k,l=1<<e.z+1<<e.y+1<<e.x+1,m=this.encounters,n=0,o=this.candidates;m.length=o.length=0;for(var p=0;f>p;++p)for(a=0===p,g=this.intervalLists[p],i=0,h=g.length;h>i;i++)if(d=g[i],b=d.tracker,d.type)for(j=n,j=n-1;j>=0;j--)c=m[j],c===b?(n-1>j?m[j]=m.pop():m.pop(),n--):(k=this.getPair(b,c,a),k&&(k.flag>l&&(k.flag=1),k.flag=k.flag<<p+1,k.flag===l&&o.push(k)));else n=m.push(b);return o},updateIntervals:function(){for(var a,b,d,e=c.scratchpad(),f=e.vector(),g=e.vector(),h=this.tracked,i=h.length;--i>=0;)a=h[i],b=a.interval,f.clone(a.body.state.pos),d=a.body.aabb(),g.set(d.hw,d.hh),b.min.val.clone(f).vsub(g),b.max.val.clone(f).vadd(g);e.done()},trackBody:function(a){var b=a.body,e={id:d(),body:b},g={min:{type:!1,val:c.vector(),tracker:e},max:{type:!0,val:c.vector(),tracker:e}};e.interval=g,this.tracked.push(e);for(var h=0;f>h;++h)this.intervalLists[h].push(g.min,g.max)},untrackBody:function(a){for(var b,c,d,e,g=a.body,h=this.tracked,i=0,j=h.length;j>i;++i)if(d=h[i],d.body===g){h.splice(i,1);for(var k=0;f>k;++k){e=0,b=this.intervalLists[k];for(var l=0,m=b.length;m>l;++l)if(c=b[l],c===d.interval.min||c===d.interval.max){if(b.splice(l,1),l--,j--,e>0)break;e++}}break}},sweep:function(){var a,b=this;a=b.broadPhase(),a.length&&this._world.emit(this.options.channel,{candidates:a})}}}),c.behavior("verlet-constraints",function(a){var b=2*Math.PI,d={iterations:2};return{init:function(b){a.init.call(this),this.options.defaults(d),this.options(b),this._distanceConstraints=[],this._angleConstraints=[]},connect:function(a){var b=a.integrator();if(b&&b.name.indexOf("verlet")<0)throw'The rigid constraint manager needs a world with a "verlet" compatible integrator.';a.on("integrate:positions",this.resolve,this)},disconnect:function(a){a.off("integrate:positions",this.resolve)},drop:function(){return this._distanceConstraints=[],this._angleConstraints=[],this},distanceConstraint:function(a,b,d,e){var f;return a&&b?(f={id:c.util.uniqueId("dis-constraint"),type:"dis",bodyA:a,bodyB:b,stiffness:d||.5,targetLength:e||b.state.pos.dist(a.state.pos)},f.targetLengthSq=f.targetLength*f.targetLength,this._distanceConstraints.push(f),f):!1},angleConstraint:function(a,b,d,e,f){var g;return a&&b?(g={id:c.util.uniqueId("ang-constraint"),type:"ang",bodyA:a,bodyB:b,bodyC:d,stiffness:e||.5,targetAngle:f||b.state.pos.angle2(a.state.pos,d.state.pos)},this._angleConstraints.push(g),g):!1},remove:function(a){var b,d,e,f,g;if(e=c.util.isObject(a),d=e?a.type:a.substr(0,3),b="ang"===d?this._angleConstraints:this._distanceConstraints,e){for(f=0,g=b.length;g>f;++f)if(b[f]===a)return b.splice(f,1),this}else for(f=0,g=b.length;g>f;++f)if(b[f].id===a)return b.splice(f,1),this;return this},resolveAngleConstraints:function(a){for(var d,e,f,g,h=this._angleConstraints,i=c.scratchpad(),j=i.transform(),k=0,l=h.length;l>k;++k)d=h[k],e=d.bodyB.state.pos.angle2(d.bodyA.state.pos,d.bodyC.state.pos),f=e-d.targetAngle,f&&(f<=-Math.PI?f+=b:f>=Math.PI&&(f-=b),j.setTranslation(d.bodyB.state.pos),f*=-a*d.stiffness,"dynamic"===d.bodyA.treatment&&"dynamic"===d.bodyB.treatment&&"dynamic"===d.bodyC.treatment&&(g=1/(d.bodyA.mass+d.bodyB.mass+d.bodyC.mass)),"dynamic"===d.bodyA.treatment&&(e="dynamic"===d.bodyB.treatment&&"dynamic"===d.bodyC.treatment?f*(d.bodyB.mass+d.bodyC.mass)*g:"dynamic"!==d.bodyB.treatment?f*d.bodyC.mass/(d.bodyC.mass+d.bodyA.mass):f*d.bodyB.mass/(d.bodyB.mass+d.bodyA.mass),j.setRotation(e),d.bodyA.state.pos.translateInv(j),d.bodyA.state.pos.rotate(j),d.bodyA.state.pos.translate(j)),"dynamic"===d.bodyC.treatment&&(e="dynamic"===d.bodyA.treatment&&"dynamic"===d.bodyB.treatment?-f*(d.bodyB.mass+d.bodyA.mass)*g:"dynamic"!==d.bodyB.treatment?-f*d.bodyA.mass/(d.bodyC.mass+d.bodyA.mass):-f*d.bodyB.mass/(d.bodyB.mass+d.bodyC.mass),j.setRotation(e),d.bodyC.state.pos.translateInv(j),d.bodyC.state.pos.rotate(j),d.bodyC.state.pos.translate(j)),"dynamic"===d.bodyB.treatment&&(e="dynamic"===d.bodyA.treatment&&"dynamic"===d.bodyC.treatment?f*(d.bodyA.mass+d.bodyC.mass)*g:"dynamic"!==d.bodyA.treatment?f*d.bodyC.mass/(d.bodyC.mass+d.bodyB.mass):f*d.bodyA.mass/(d.bodyA.mass+d.bodyC.mass),j.setRotation(e).setTranslation(d.bodyA.state.pos),d.bodyB.state.pos.translateInv(j),d.bodyB.state.pos.rotate(j),d.bodyB.state.pos.translate(j),j.setTranslation(d.bodyC.state.pos),d.bodyB.state.pos.translateInv(j),d.bodyB.state.pos.rotateInv(j),d.bodyB.state.pos.translate(j)));i.done()},resolveDistanceConstraints:function(a){for(var b,d,e,f,g=this._distanceConstraints,h=c.scratchpad(),i=h.vector(),j=0,k=g.length;k>j;++j)b=g[j],i.clone(b.bodyB.state.pos).vsub(b.bodyA.state.pos),d=i.normSq()||1e-4*Math.random(),e=a*b.stiffness*(d-b.targetLengthSq)/d,i.mult(e),f="dynamic"!==b.bodyA.treatment||"dynamic"!==b.bodyB.treatment?1:b.bodyB.mass/(b.bodyA.mass+b.bodyB.mass),"dynamic"===b.bodyA.treatment&&("dynamic"===b.bodyB.treatment&&i.mult(f),b.bodyA.state.pos.vadd(i),"dynamic"===b.bodyB.treatment&&i.mult(1/f)),"dynamic"===b.bodyB.treatment&&("dynamic"===b.bodyA.treatment&&i.mult(1-f),b.bodyB.state.pos.vsub(i));h.done()},shuffleConstraints:function(){this._distanceConstraints=c.util.shuffle(this._distanceConstraints),this._angleConstraints=c.util.shuffle(this._angleConstraints)},resolve:function(){for(var a=this.options.iterations,b=1/a,c=0;a>c;c++)this.resolveDistanceConstraints(b),this.resolveAngleConstraints(b)},getConstraints:function(){return{distanceConstraints:[].concat(this._distanceConstraints),angleConstraints:[].concat(this._angleConstraints)}}}}),c.integrator("improved-euler",function(a){return{init:function(b){a.init.call(this,b)},integrateVelocities:function(a,b){for(var c,d=1-this.options.drag,e=null,f=0,g=a.length;g>f;++f)e=a[f],c=e.state,"static"!==e.treatment?(c.old.vel.clone(c.vel),c.old.acc.clone(c.acc),c.vel.vadd(c.acc.mult(b)),d&&c.vel.mult(d),c.acc.zero(),c.old.angular.vel=c.angular.vel,c.angular.vel+=c.angular.acc*b,c.angular.acc=0):(c.vel.zero(),c.acc.zero(),c.angular.vel=0,c.angular.acc=0)},integratePositions:function(a,b){for(var d,e=.5*b*b,f=null,g=c.scratchpad(),h=g.vector(),i=0,j=a.length;j>i;++i)f=a[i],d=f.state,"static"!==f.treatment&&(d.old.pos.clone(d.pos),h.clone(d.old.vel),d.pos.vadd(h.mult(b)).vadd(d.old.acc.mult(e)),d.old.acc.zero(),d.old.angular.pos=d.angular.pos,d.angular.pos+=d.old.angular.vel*b+d.old.angular.acc*e,d.old.angular.acc=0);g.done()}}}),c.renderer("canvas",function(a){if(!b)return{};var d=2*Math.PI,e=function(a,c){var d=b.createElement(a||"div");return c&&(d.innerHTML=c),d},f={white:"#fff",violet:"#542437",blue:"#53777A"},g={debug:!1,metaEl:null,styles:{circle:{strokeStyle:f.blue,lineWidth:1,fillStyle:f.blue,angleIndicator:f.white},"convex-polygon":{strokeStyle:f.violet,lineWidth:1,fillStyle:f.violet,angleIndicator:f.white}},offset:{x:0,y:0}},h=function(a,b){return c.util.isPlainObject(b)?c.util.extend({},a,b,h):void 0!==b?b:a};return{init:function(d){if(a.init.call(this,d),this.options=c.util.extend({},g,this.options,h),this.options.offset=c.vector(this.options.offset),this.hiddenCanvas=b.createElement("canvas"),this.hiddenCanvas.width=this.hiddenCanvas.height=100,!this.hiddenCanvas.getContext)throw"Canvas not supported";this.hiddenCtx=this.hiddenCanvas.getContext("2d");var f=this.el;if("CANVAS"!==f.nodeName.toUpperCase()&&(f=b.createElement("canvas"),this.el.appendChild(f),"string"==typeof this.options.el&&this.el===b.body&&(f.id=this.options.el),this.el=f),this.ctx=f.getContext("2d"),this.els={},this.options.meta){var i=this.options.metaEl||e();i.className="pjs-meta",this.els.fps=e("span"),this.els.ipf=e("span"),i.appendChild(e("span","fps: ")),i.appendChild(this.els.fps),i.appendChild(e("br")),i.appendChild(e("span","ipf: 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b,d;if(c.util.isArray(a))for(b=0,d=a.length;d>b;++b)i.removeFromStack(a[b]);else b=c.util.indexOf(g,a),b>-1&&g.splice(b,1);return i},i.render=function(a){var b,d,e,j=c.scratchpad(),k=j.vector().set(0,0),l=i.options.scale,m=g.length,n=m||"main"!==i.id?g:f._world._bodies;if(i.options.manual)return j.done(),i;for(i.options.offset&&("center"===i.options.offset?k.add(.5*i.el.width,.5*i.el.height).mult(1/l):k.vadd(i.options.offset).mult(1/l)),i.options.follow&&k.vsub(i.options.follow.state.pos),a!==!1&&i.ctx.clearRect(0,0,i.el.width,i.el.height),1!==l&&(i.ctx.save(),i.ctx.scale(l,l)),e=0,m=n.length;m>e;++e)b=n[e],b.hidden||(d=b.view||(b.view=f.createView(b.geometry,b.styles||h[b.geometry.name])),f.drawBody(b,b.view,i.ctx,k));return 1!==l&&i.ctx.restore(),j.done(),i},this._layers[a]=i,i},removeLayer:function(a){var b=a.id?a.id:a,c=this._layers[b].el;return c!==this.el&&c.parentNode.removeChild(c),delete this._layers[b],this},resize:function(a,b){var c;for(var d in this._layers)c=this._layers[d],c.options.autoResize&&(c.el.width=a,c.el.height=b);return this},setStyle:function(a,b){b=b||this.ctx,c.util.isObject(a)?(a.strokeStyle=a.lineWidth?a.strokeStyle:"rgba(0,0,0,0)",c.util.extend(b,a)):(b.fillStyle=b.strokeStyle=a,b.lineWidth=1)},drawCircle:function(a,b,c,e,f){f=f||this.ctx,f.beginPath(),this.setStyle(e,f),f.arc(a,b,c,0,d,!1),f.closePath(),f.stroke(),f.fill()},drawPolygon:function(a,b,c){var d=a[0],e=d.x,f=d.y,g=a.length;c=c||this.ctx,c.beginPath(),this.setStyle(b,c),c.moveTo(e,f);for(var h=1;g>h;++h)d=a[h],e=d.x,f=d.y,c.lineTo(e,f);g>2&&c.closePath(),c.stroke(),c.fill()},drawRect:function(a,b,c,d,e,f){var g=.5*c,h=.5*d;f=f||this.ctx,this.setStyle(e,f),f.beginPath(),f.rect(a-g,b-h,c,d),f.closePath(),f.stroke(),f.fill()},drawLine:function(a,b,c,d){var e=a.x,f=a.y;d=d||this.ctx,d.beginPath(),this.setStyle(c,d),d.moveTo(e,f),e=b.x,f=b.y,d.lineTo(e,f),d.stroke(),d.fill()},createView:function(a,b){var c,d=a.aabb(),e=d.hw+Math.abs(d.x),f=d.hh+Math.abs(d.y),g=e+1,h=f+1,i=this.hiddenCtx,j=this.hiddenCanvas,k=a.name;return b=b||this.options.styles[k]||{},b.src?(c=new Image,c.src=b.src,b.width&&(c.width=b.width),b.height&&(c.height=b.height),c):(g+=0|b.lineWidth,h+=0|b.lineWidth,j.width=2*e+2+(0|2*b.lineWidth),j.height=2*f+2+(0|2*b.lineWidth),i.save(),i.translate(g,h),"circle"===k?this.drawCircle(0,0,a.radius,b,i):"convex-polygon"===k?this.drawPolygon(a.vertices,b,i):"rectangle"===k&&this.drawRect(0,0,a.width,a.height,b,i),b.angleIndicator&&(i.beginPath(),this.setStyle(b.angleIndicator,i),i.moveTo(0,0),i.lineTo(e,0),i.closePath(),i.stroke()),i.restore(),c=new Image(j.width,j.height),c.src=j.toDataURL("image/png"),c)},drawMeta:function(a){this.els.fps.innerHTML=a.fps.toFixed(2),this.els.ipf.innerHTML=a.ipf},drawBody:function(a,b,c,d){var e,f,g,h,i=a.state.pos,j=a.state.vel,k=this._interpolateTime||0;d=d||this.options.offset,c=c||this.ctx,e=i.x+d.x+j.x*k,f=i.y+d.y+j.y*k,g=a.state.angular.pos+a.state.angular.vel*k,c.save(),c.translate(e,f),c.rotate(g),c.drawImage(b,-b.width/2,-b.height/2),c.restore(),this.options.debug&&(h=a.aabb(),this.drawRect(h.x,h.y,2*h.hw,2*h.hh,"rgba(0, 0, 255, 0.3)"),a._debugView=a._debugView||this.createView(a.geometry,"rgba(255, 0, 0, 0.5)"),c.save(),c.translate(i.x+d.x,i.y+d.y),c.rotate(a.state.angular.pos),c.drawImage(a._debugView,.5*-a._debugView.width,.5*-a._debugView.height),c.restore())},render:function(a,b){this._world.emit("beforeRender",{renderer:this,meta:b}),this.options.meta&&this.drawMeta(b),this._interpolateTime=b.interpolateTime;for(var c in this._layers)this._layers[c].render();return this}}}),c.renderer("dom",function(a){if(!b)return{};var c={},d=b.createElement("div"),e=function(a){return a.replace(/(?:^|\s)\w/g,function(a){return a.toUpperCase()})},f=function(a){if(c[a])return c[a];for(var b,f=["Webkit","Moz","Ms","O"],g=0,h=f.length;h>g;++g)if(b=f[g]+e(a),b in d.style)return c[a]=b;return b in d.style?c[a]=a:!1},g="pjs-",h="px",i=f("transform"),j=function(a,c){var d=b.createElement(a||"div");return c&&(d.innerHTML=c),d};return{init:function(b){a.init.call(this,b);var c=this.el;if(c.style.position="relative",c.style.overflow="hidden",c.style[i]="translateZ(0)",c.style.width=this.options.width+h,c.style.height=this.options.height+h,this.els={},b.meta){var d=j();d.className="pjs-meta",this.els.fps=j("span"),this.els.ipf=j("span"),d.appendChild(j("span","fps: ")),d.appendChild(this.els.fps),d.appendChild(j("br")),d.appendChild(j("span","ipf: ")),d.appendChild(this.els.ipf),c.appendChild(d)}},circleProperties:function(a,b){var c=b.aabb();a.style.width=2*c.hw+h,a.style.height=2*c.hh+h,a.style.marginLeft=-c.hw+h,a.style.marginTop=-c.hh+h},rectangleProperties:function(a,b){var c=b.aabb();a.style.width=2*c.hw+h,a.style.height=2*c.hh+h,a.style.marginLeft=-c.hw+h,a.style.marginTop=-c.hh+h},createView:function(a){var b=j(),c=a.name+"Properties";return b.className=g+a.name,b.style.position="absolute",b.style.top="0px",b.style.left="0px",this[c]&&this[c](b,a),this.el.appendChild(b),b},connect:function(a){a.on("add:body",this.attach,this),a.on("remove:body",this.detach,this)},disconnect:function(a){a.off("add:body",this.attach),a.off("remove:body",this.detach)},detach:function(a){var b=a.nodeType&&a||a.body&&a.body.view,c=b&&b.parentNode;return b&&c&&c.removeChild(b),this},attach:function(a){var b=a.nodeType&&a||a.body&&a.body.view;return b&&this.el.appendChild(b),this},drawMeta:function(a){this.els.fps.innerHTML=a.fps.toFixed(2),this.els.ipf.innerHTML=a.ipf},drawBody:function(a,b){var c,d,e,f=a.state.pos,g=a.state.vel,h=this._interpolateTime;c=f.x+g.x*h,d=f.y+g.y*h,e=a.state.angular.pos+a.state.angular.vel*h,b.style[i]="translate("+c+"px,"+d+"px) rotate("+e+"rad)"}}}),c.renderer("pixi",function(a){if(!b)return{};2*Math.PI;var d={debug:!1,metaEl:null,offset:{x:0,y:0},styles:{color:"0x66FF99",point:"0xE8900C",circle:{strokeStyle:"0xE8900C",lineWidth:3,fillStyle:"0xD5DE4C",angleIndicator:"0xE8900C"},"convex-polygon":{strokeStyle:"0xE8900C",lineWidth:3,fillStyle:"0xD5DE4C",angleIndicator:"0xE8900C"}}},e=function(a,b){return c.util.isPlainObject(b)?c.util.extend({},a,b,e):void 0!==b?b:a};return{init:function(f){if("undefined"==typeof PIXI)throw"PIXI obj not present - cannot continue ";a.init.call(this,f),this.options=c.util.extend({},d,this.options,e),this.options.offset=c.vector(this.options.offset),this.stage=new PIXI.Stage(this.options.styles.color),this.renderer=new PIXI.autoDetectRenderer(this.options.width,this.options.height),this.meta={},"CANVAS"===this.el.nodeName?this.renderer=new PIXI.autoDetectRenderer(this.options.width,this.options.height,this.el):(this.renderer=new PIXI.autoDetectRenderer(this.options.width,this.options.height),null!==this.el?this.el.appendChild(this.renderer.view):b.body.appendChild(this.renderer.view))},loadSpriteSheets:function(a,b){if(!c.util.isArray(a))throw"Spritesheets must be defined in arrays";var d=this,e=new PIXI.AssetLoader(a);return e.load(),e.on("onComplete",function(){d.assetsLoaded=!0,b()}),d},drawBody:function(a,b){var c,d,e,f=a.state.pos,g=a.state.vel,h=this._interpolateTime||0;c=f.x+g.x*h,d=f.y+g.y*h,e=a.state.angular.pos+a.state.angular.vel*h,b.position.x=c,b.position.y=d,b.rotation=e},render:function(b,c){a.render.call(this,b,c),this.renderer.render(this.stage)},createCircle:function(a,b,c,d){var e=new PIXI.Graphics;return e.beginFill(d.fillStyle),e.lineStyle(d.lineWidth,d.strokeStyle),e.drawCircle(a,b,c),e.pivot.x=a/2+c/2,e.pivot.y=b/2+c/2,e},createPolygon:function(a,b){var c=a[0],d=c.x,e=c.y,f=a.length,g={x:d,y:e},h=new PIXI.Graphics;h.beginFill(b.fillStyle),h.lineStyle(b.lineWidth,b.strokeStyle),h.moveTo(d,e);for(var i=1;f>i;++i)c=a[i],d=c.x,e=c.y,h.lineTo(d,e);return f>2&&h.lineTo(g.x,g.y),h.endFill(),h},createLine:function(a,b,c){var d=a.x,e=a.y,f=new PIXI.Graphics;return f.beginFill(c.fillStyle),f.lineStyle(c.lineWidth,c.strokeStyle),f.moveTo(d,e),d=b.x,e=b.y,f.lineTo(d,e),f.endFill(),f},createView:function(a){var b=null,c=a.aabb(),d=c.hw+Math.abs(c.x),e=c.hh+Math.abs(c.y),f=d+1,g=e+1,h=a.name,i=i||this.options.styles[h];if(f+=0|i.lineWidth,g+=0|i.lineWidth,"circle"===h?b=this.createCircle(f,g,a.radius,i):"convex-polygon"===h&&(b=this.createPolygon(a.vertices,i)),i.angleIndicator&&(b.beginFill(i.angleIndicator),b.moveTo(f/2,5+i.lineWidth),b.lineTo(f/2+a.radius/2,a.radius),b.endFill()),b)return this.stage.addChild(b),b;throw"Invalid view name passed."},drawMeta:function(a){if(this.meta.loaded)this.meta.fps.setText("FPS: "+a.fps.toFixed(2)),this.meta.ipf.setText("IPF: "+a.ipf);else{var b={font:"18px Snippet",fill:"white",align:"left"};this.meta.fps=new PIXI.Text("FPS: "+a.fps.toFixed(2),b),this.meta.fps.position.x=15,this.meta.fps.position.y=5,this.meta.ipf=new PIXI.Text("IPF: "+a.ipf,b),this.meta.ipf.position.x=15,this.meta.ipf.position.y=30,this.stage.addChild(this.meta.fps),this.stage.addChild(this.meta.ipf),this.meta.loaded=!0}},createDisplay:function(a,b){var c=null,d=null;switch(a){case"sprite":return d=PIXI.Texture.fromImage(b.texture),c=new PIXI.Sprite(d),b.anchor&&(c.anchor.x=b.anchor.x,c.anchor.y=b.anchor.y),b.container?b.container.addChild(c):this.stage.addChild(c),c;case"movieclip":if(!this.assetsLoaded)throw"No assets have been loaded. Use loadSpritesheet() first";var e=[],f=0;for(f;f<b.frames.length;f++)d=PIXI.Texture.fromFrame(b.frames[f]),e.push(d);return c=new PIXI.MovieClip(e),b.anchor&&(c.anchor.x=b.anchor.x,c.anchor.y=b.anchor.y),b.container?b.container.addChild(c):this.stage.addChild(c),c;default:throw"Invalid PIXI.DisplayObject passed"
}},centerAnchor:function(a){null!==a&&(a.anchor.x=.5,a.anchor.y=.5)}}}),c});