/**
* matter.min.js edge-master 2015-07-05
* http://brm.io/matter-js/
* License: MIT
*/

!function(){var a={},b={};!function(){b._inertiaScale=4;var a=1,c=-1,d=1;b.create=function(a){var b={id:o.nextId(),type:"body",label:"Body",parts:[],angle:0,vertices:A.fromPath("L 0 0 L 40 0 L 40 40 L 0 40"),position:{x:0,y:0},force:{x:0,y:0},torque:0,positionImpulse:{x:0,y:0},constraintImpulse:{x:0,y:0,angle:0},totalContacts:0,speed:0,angularSpeed:0,velocity:{x:0,y:0},angularVelocity:0,isStatic:!1,isSleeping:!1,motion:0,sleepThreshold:60,density:.001,restitution:0,friction:.1,frictionStatic:.5,frictionAir:.01,collisionFilter:{category:1,mask:4294967295,group:0},slop:.05,timeScale:1,render:{visible:!0,sprite:{xScale:1,yScale:1},lineWidth:1.5}},c=o.extend(b,a);return e(c,a),c},b.nextGroup=function(b){return b?c--:a++},b.nextCategory=function(){return d<<=1};var e=function(a,c){b.set(a,{bounds:a.bounds||x.create(a.vertices),positionPrev:a.positionPrev||z.clone(a.position),anglePrev:a.anglePrev||a.angle,vertices:a.vertices,parts:a.parts||[a],isStatic:a.isStatic,isSleeping:a.isSleeping,parent:a.parent||a}),A.rotate(a.vertices,a.angle,a.position),w.rotate(a.axes,a.angle),x.update(a.bounds,a.vertices,a.velocity),b.set(a,{axes:c.axes||a.axes,area:c.area||a.area,mass:c.mass||a.mass,inertia:c.inertia||a.inertia});var d=a.isStatic?"#eeeeee":o.choose(["#556270","#4ECDC4","#C7F464","#FF6B6B","#C44D58"]),e=o.shadeColor(d,-20);a.render.fillStyle=a.render.fillStyle||d,a.render.strokeStyle=a.render.strokeStyle||e};b.set=function(a,c,d){var e;"string"==typeof c&&(e=c,c={},c[e]=d);for(e in c)if(d=c[e],c.hasOwnProperty(e))switch(e){case"isStatic":b.setStatic(a,d);break;case"isSleeping":t.set(a,d);break;case"mass":b.setMass(a,d);break;case"density":b.setDensity(a,d);break;case"inertia":b.setInertia(a,d);break;case"vertices":b.setVertices(a,d);break;case"position":b.setPosition(a,d);break;case"angle":b.setAngle(a,d);break;case"velocity":b.setVelocity(a,d);break;case"angularVelocity":b.setAngularVelocity(a,d);break;case"parts":b.setParts(a,d);break;default:a[e]=d}},b.setStatic=function(a,b){for(var c=0;c<a.parts.length;c++){var d=a.parts[c];d.isStatic=b,b&&(d.restitution=0,d.friction=1,d.mass=d.inertia=d.density=1/0,d.inverseMass=d.inverseInertia=0,d.positionPrev.x=d.position.x,d.positionPrev.y=d.position.y,d.anglePrev=d.angle,d.angularVelocity=0,d.speed=0,d.angularSpeed=0,d.motion=0)}},b.setMass=function(a,b){a.mass=b,a.inverseMass=1/a.mass,a.density=a.mass/a.area},b.setDensity=function(a,c){b.setMass(a,c*a.area),a.density=c},b.setInertia=function(a,b){a.inertia=b,a.inverseInertia=1/a.inertia},b.setVertices=function(a,c){a.vertices=c[0].body===a?c:A.create(c,a),a.axes=w.fromVertices(a.vertices),a.area=A.area(a.vertices),b.setMass(a,a.density*a.area);var d=A.centre(a.vertices);A.translate(a.vertices,d,-1),b.setInertia(a,b._inertiaScale*A.inertia(a.vertices,a.mass)),A.translate(a.vertices,a.position),x.update(a.bounds,a.vertices,a.velocity)},b.setParts=function(a,c,d){var e;for(c=c.slice(0),a.parts.length=0,a.parts.push(a),a.parent=a,e=0;e<c.length;e++){var g=c[e];g!==a&&(g.parent=a,a.parts.push(g))}if(1!==a.parts.length){if(d="undefined"!=typeof d?d:!0){var h=[];for(e=0;e<c.length;e++)h=h.concat(c[e].vertices);A.clockwiseSort(h);var i=A.hull(h),j=A.centre(i);b.setVertices(a,i),A.translate(a.vertices,j)}var k=f(a);a.area=k.area,a.parent=a,a.position.x=k.centre.x,a.position.y=k.centre.y,a.positionPrev.x=k.centre.x,a.positionPrev.y=k.centre.y,b.setMass(a,k.mass),b.setInertia(a,k.inertia),b.setPosition(a,k.centre)}},b.setPosition=function(a,b){var c=z.sub(b,a.position);a.positionPrev.x+=c.x,a.positionPrev.y+=c.y;for(var d=0;d<a.parts.length;d++){var e=a.parts[d];e.position.x+=c.x,e.position.y+=c.y,A.translate(e.vertices,c),x.update(e.bounds,e.vertices,a.velocity)}},b.setAngle=function(a,b){var c=b-a.angle;a.anglePrev+=c;for(var d=0;d<a.parts.length;d++){var e=a.parts[d];e.angle+=c,A.rotate(e.vertices,c,a.position),w.rotate(e.axes,c),x.update(e.bounds,e.vertices,a.velocity),d>0&&z.rotateAbout(e.position,c,a.position,e.position)}},b.setVelocity=function(a,b){a.positionPrev.x=a.position.x-b.x,a.positionPrev.y=a.position.y-b.y,a.velocity.x=b.x,a.velocity.y=b.y,a.speed=z.magnitude(a.velocity)},b.setAngularVelocity=function(a,b){a.anglePrev=a.angle-b,a.angularVelocity=b,a.angularSpeed=Math.abs(a.angularVelocity)},b.translate=function(a,c){b.setPosition(a,z.add(a.position,c))},b.rotate=function(a,c){b.setAngle(a,a.angle+c)},b.scale=function(a,c,d){for(var e=0;e<a.parts.length;e++){var g=a.parts[e];A.scale(g.vertices,c,d,a.position),g.axes=w.fromVertices(g.vertices),a.isStatic||(g.area=A.area(g.vertices),b.setMass(g,a.density*g.area),A.translate(g.vertices,{x:-g.position.x,y:-g.position.y}),b.setInertia(g,A.inertia(g.vertices,g.mass)),A.translate(g.vertices,{x:g.position.x,y:g.position.y})),x.update(g.bounds,g.vertices,a.velocity)}if(!a.isStatic){var h=f(a);a.area=h.area,b.setMass(a,h.mass),b.setInertia(a,h.inertia)}},b.update=function(a,b,c,d){var e=Math.pow(b*c*a.timeScale,2),f=1-a.frictionAir*c*a.timeScale,g=a.position.x-a.positionPrev.x,h=a.position.y-a.positionPrev.y;a.velocity.x=g*f*d+a.force.x/a.mass*e,a.velocity.y=h*f*d+a.force.y/a.mass*e,a.positionPrev.x=a.position.x,a.positionPrev.y=a.position.y,a.position.x+=a.velocity.x,a.position.y+=a.velocity.y,a.angularVelocity=(a.angle-a.anglePrev)*f*d+a.torque/a.inertia*e,a.anglePrev=a.angle,a.angle+=a.angularVelocity,a.speed=z.magnitude(a.velocity),a.angularSpeed=Math.abs(a.angularVelocity);for(var i=0;i<a.parts.length;i++){var j=a.parts[i];A.translate(j.vertices,a.velocity),i>0&&(j.position.x+=a.velocity.x,j.position.y+=a.velocity.y),0!==a.angularVelocity&&(A.rotate(j.vertices,a.angularVelocity,a.position),w.rotate(j.axes,a.angularVelocity),i>0&&z.rotateAbout(j.position,a.angularVelocity,a.position,j.position)),x.update(j.bounds,j.vertices,a.velocity)}},b.applyForce=function(a,b,c){a.force.x+=c.x,a.force.y+=c.y;var d={x:b.x-a.position.x,y:b.y-a.position.y};a.torque+=(d.x*c.y-d.y*c.x)*a.inverseInertia};var f=function(a){for(var b={mass:0,area:0,inertia:0,centre:{x:0,y:0}},c=1===a.parts.length?0:1;c<a.parts.length;c++){var d=a.parts[c];b.mass+=d.mass,b.area+=d.area,b.inertia+=d.inertia,b.centre=z.add(b.centre,z.mult(d.position,1/0!==d.mass?d.mass:1))}return b.centre=z.div(b.centre,1/0!==b.mass?b.mass:a.parts.length),b}}();var c={};!function(){c.create=function(a){return o.extend({id:o.nextId(),type:"composite",parent:null,isModified:!1,bodies:[],constraints:[],composites:[],label:"Composite"},a)},c.setModified=function(a,b,d,e){if(a.isModified=b,d&&a.parent&&c.setModified(a.parent,b,d,e),e)for(var f=0;f<a.composites.length;f++){var g=a.composites[f];c.setModified(g,b,d,e)}},c.add=function(a,b){var d=[].concat(b);q.trigger(a,"beforeAdd",{object:b});for(var e=0;e<d.length;e++){var f=d[e];switch(f.type){case"body":if(f.parent!==f){o.log("Composite.add: skipped adding a compound body part (you must add its parent instead)","warn");break}c.addBody(a,f);break;case"constraint":c.addConstraint(a,f);break;case"composite":c.addComposite(a,f);break;case"mouseConstraint":c.addConstraint(a,f.constraint)}}return q.trigger(a,"afterAdd",{object:b}),a},c.remove=function(a,b,d){var e=[].concat(b);q.trigger(a,"beforeRemove",{object:b});for(var f=0;f<e.length;f++){var g=e[f];switch(g.type){case"body":c.removeBody(a,g,d);break;case"constraint":c.removeConstraint(a,g,d);break;case"composite":c.removeComposite(a,g,d);break;case"mouseConstraint":c.removeConstraint(a,g.constraint)}}return q.trigger(a,"afterRemove",{object:b}),a},c.addComposite=function(a,b){return a.composites.push(b),b.parent=a,c.setModified(a,!0,!0,!1),a},c.removeComposite=function(a,b,d){var e=o.indexOf(a.composites,b);if(-1!==e&&(c.removeCompositeAt(a,e),c.setModified(a,!0,!0,!1)),d)for(var f=0;f<a.composites.length;f++)c.removeComposite(a.composites[f],b,!0);return a},c.removeCompositeAt=function(a,b){return a.composites.splice(b,1),c.setModified(a,!0,!0,!1),a},c.addBody=function(a,b){return a.bodies.push(b),c.setModified(a,!0,!0,!1),a},c.removeBody=function(a,b,d){var e=o.indexOf(a.bodies,b);if(-1!==e&&(c.removeBodyAt(a,e),c.setModified(a,!0,!0,!1)),d)for(var f=0;f<a.composites.length;f++)c.removeBody(a.composites[f],b,!0);return a},c.removeBodyAt=function(a,b){return a.bodies.splice(b,1),c.setModified(a,!0,!0,!1),a},c.addConstraint=function(a,b){return a.constraints.push(b),c.setModified(a,!0,!0,!1),a},c.removeConstraint=function(a,b,d){var e=o.indexOf(a.constraints,b);if(-1!==e&&c.removeConstraintAt(a,e),d)for(var f=0;f<a.composites.length;f++)c.removeConstraint(a.composites[f],b,!0);return a},c.removeConstraintAt=function(a,b){return a.constraints.splice(b,1),c.setModified(a,!0,!0,!1),a},c.clear=function(a,b,d){if(d)for(var e=0;e<a.composites.length;e++)c.clear(a.composites[e],b,!0);return b?a.bodies=a.bodies.filter(function(a){return a.isStatic}):a.bodies.length=0,a.constraints.length=0,a.composites.length=0,c.setModified(a,!0,!0,!1),a},c.allBodies=function(a){for(var b=[].concat(a.bodies),d=0;d<a.composites.length;d++)b=b.concat(c.allBodies(a.composites[d]));return b},c.allConstraints=function(a){for(var b=[].concat(a.constraints),d=0;d<a.composites.length;d++)b=b.concat(c.allConstraints(a.composites[d]));return b},c.allComposites=function(a){for(var b=[].concat(a.composites),d=0;d<a.composites.length;d++)b=b.concat(c.allComposites(a.composites[d]));return b},c.get=function(a,b,d){var e,f;switch(d){case"body":e=c.allBodies(a);break;case"constraint":e=c.allConstraints(a);break;case"composite":e=c.allComposites(a).concat(a)}return e?(f=e.filter(function(a){return a.id.toString()===b.toString()}),0===f.length?null:f[0]):null},c.move=function(a,b,d){return c.remove(a,b),c.add(d,b),a},c.rebase=function(a){for(var b=c.allBodies(a).concat(c.allConstraints(a)).concat(c.allComposites(a)),d=0;d<b.length;d++)b[d].id=o.nextId();return c.setModified(a,!0,!0,!1),a},c.translate=function(a,d,e){for(var f=e?c.allBodies(a):a.bodies,g=0;g<f.length;g++)b.translate(f[g],d);return c.setModified(a,!0,!0,!1),a},c.rotate=function(a,d,e,f){for(var g=Math.cos(d),h=Math.sin(d),i=f?c.allBodies(a):a.bodies,j=0;j<i.length;j++){var k=i[j],l=k.position.x-e.x,m=k.position.y-e.y;b.setPosition(k,{x:e.x+(l*g-m*h),y:e.y+(l*h+m*g)}),b.rotate(k,d)}return c.setModified(a,!0,!0,!1),a},c.scale=function(a,d,e,f,g){for(var h=g?c.allBodies(a):a.bodies,i=0;i<h.length;i++){var j=h[i],k=j.position.x-f.x,l=j.position.y-f.y;b.setPosition(j,{x:f.x+k*d,y:f.y+l*e}),b.scale(j,d,e)}return c.setModified(a,!0,!0,!1),a}}();var d={};!function(){d.create=function(a){var b=c.create(),d={label:"World",gravity:{x:0,y:1},bounds:{min:{x:-1/0,y:-1/0},max:{x:1/0,y:1/0}}};return o.extend(b,d,a)}}();var e={};!function(){e.create=function(a){return{id:e.id(a),vertex:a,normalImpulse:0,tangentImpulse:0}},e.id=function(a){return a.body.id+"_"+a.index}}();var f={};!function(){f.collisions=function(a,b){for(var c=[],d=b.pairs.table,e=0;e<a.length;e++){var g=a[e][0],i=a[e][1];if((!g.isStatic&&!g.isSleeping||!i.isStatic&&!i.isSleeping)&&f.canCollide(g.collisionFilter,i.collisionFilter)&&x.overlaps(g.bounds,i.bounds))for(var j=g.parts.length>1?1:0;j<g.parts.length;j++)for(var k=g.parts[j],m=i.parts.length>1?1:0;m<i.parts.length;m++){var n=i.parts[m];if(k===g&&n===i||x.overlaps(k.bounds,n.bounds)){var o,p=h.id(k,n),q=d[p];o=q&&q.isActive?q.collision:null;var r=l.collides(k,n,o);r.collided&&c.push(r)}}}return c},f.bruteForce=function(a,b){for(var c=[],d=b.pairs.table,e=0;e<a.length;e++)for(var g=e+1;g<a.length;g++){var i=a[e],j=a[g];if((!i.isStatic&&!i.isSleeping||!j.isStatic&&!j.isSleeping)&&f.canCollide(i.collisionFilter,j.collisionFilter)&&x.overlaps(i.bounds,j.bounds)){var k,m=h.id(i,j),n=d[m];k=n&&n.isActive?n.collision:null;var o=l.collides(i,j,k);o.collided&&c.push(o)}}return c},f.canCollide=function(a,b){return a.group===b.group&&0!==a.group?a.group>0:0!==(a.mask&b.category)&&0!==(b.mask&a.category)}}();var g={};!function(){g.create=function(a){var b={controller:g,detector:f.collisions,buckets:{},pairs:{},pairsList:[],bucketWidth:48,bucketHeight:48};return o.extend(b,a)},g.update=function(c,f,g,h){var l,m,n,o,p,q=g.world,r=c.buckets,s=!1;for(l=0;l<f.length;l++){var t=f[l];if((!t.isSleeping||h)&&!(t.bounds.max.x<0||t.bounds.min.x>q.bounds.width||t.bounds.max.y<0||t.bounds.min.y>q.bounds.height)){var u=b(c,t);if(!t.region||u.id!==t.region.id||h){(!t.region||h)&&(t.region=u);var v=a(u,t.region);for(m=v.startCol;m<=v.endCol;m++)for(n=v.startRow;n<=v.endRow;n++){p=d(m,n),o=r[p];var w=m>=u.startCol&&m<=u.endCol&&n>=u.startRow&&n<=u.endRow,x=m>=t.region.startCol&&m<=t.region.endCol&&n>=t.region.startRow&&n<=t.region.endRow;!w&&x&&x&&o&&j(c,o,t),(t.region===u||w&&!x||h)&&(o||(o=e(r,p)),i(c,o,t))}t.region=u,s=!0}}}s&&(c.pairsList=k(c))},g.clear=function(a){a.buckets={},a.pairs={},a.pairsList=[]};var a=function(a,b){var d=Math.min(a.startCol,b.startCol),e=Math.max(a.endCol,b.endCol),f=Math.min(a.startRow,b.startRow),g=Math.max(a.endRow,b.endRow);return c(d,e,f,g)},b=function(a,b){var d=b.bounds,e=Math.floor(d.min.x/a.bucketWidth),f=Math.floor(d.max.x/a.bucketWidth),g=Math.floor(d.min.y/a.bucketHeight),h=Math.floor(d.max.y/a.bucketHeight);return c(e,f,g,h)},c=function(a,b,c,d){return{id:a+","+b+","+c+","+d,startCol:a,endCol:b,startRow:c,endRow:d}},d=function(a,b){return a+","+b},e=function(a,b){var c=a[b]=[];return c},i=function(a,b,c){for(var d=0;d<b.length;d++){var e=b[d];if(!(c.id===e.id||c.isStatic&&e.isStatic)){var f=h.id(c,e),g=a.pairs[f];g?g[2]+=1:a.pairs[f]=[c,e,1]}}b.push(c)},j=function(a,b,c){b.splice(o.indexOf(b,c),1);for(var d=0;d<b.length;d++){var e=b[d],f=h.id(c,e),g=a.pairs[f];g&&(g[2]-=1)}},k=function(a){var b,c,d=[];b=o.keys(a.pairs);for(var e=0;e<b.length;e++)c=a.pairs[b[e]],c[2]>0?d.push(c):delete a.pairs[b[e]];return d}}();var h={};!function(){h.create=function(a,b){var c=a.bodyA,d=a.bodyB,e=a.parentA,f=a.parentB,g={id:h.id(c,d),bodyA:c,bodyB:d,contacts:{},activeContacts:[],separation:0,isActive:!0,timeCreated:b,timeUpdated:b,inverseMass:e.inverseMass+f.inverseMass,friction:Math.min(e.friction,f.friction),frictionStatic:Math.max(e.frictionStatic,f.frictionStatic),restitution:Math.max(e.restitution,f.restitution),slop:Math.max(e.slop,f.slop)};return h.update(g,a,b),g},h.update=function(a,b,c){var d=a.contacts,f=b.supports,g=a.activeContacts,i=b.parentA,j=b.parentB;if(a.collision=b,a.inverseMass=i.inverseMass+j.inverseMass,a.friction=Math.min(i.friction,j.friction),a.frictionStatic=Math.max(i.frictionStatic,j.frictionStatic),a.restitution=Math.max(i.restitution,j.restitution),a.slop=Math.max(i.slop,j.slop),g.length=0,b.collided){for(var k=0;k<f.length;k++){var l=f[k],m=e.id(l),n=d[m];g.push(n?n:d[m]=e.create(l))}a.separation=b.depth,h.setActive(a,!0,c)}else a.isActive===!0&&h.setActive(a,!1,c)},h.setActive=function(a,b,c){b?(a.isActive=!0,a.timeUpdated=c):(a.isActive=!1,a.activeContacts.length=0)},h.id=function(a,b){return a.id<b.id?a.id+"_"+b.id:b.id+"_"+a.id}}();var i={};!function(){var a=1e3;i.create=function(a){return o.extend({table:{},list:[],collisionStart:[],collisionActive:[],collisionEnd:[]},a)},i.update=function(a,b,c){var d,e,f,g,i=a.list,j=a.table,k=a.collisionStart,l=a.collisionEnd,m=a.collisionActive,n=[];for(k.length=0,l.length=0,m.length=0,g=0;g<b.length;g++)d=b[g],d.collided&&(e=h.id(d.bodyA,d.bodyB),n.push(e),f=j[e],f?(f.isActive?m.push(f):k.push(f),h.update(f,d,c)):(f=h.create(d,c),j[e]=f,k.push(f),i.push(f)));for(g=0;g<i.length;g++)f=i[g],f.isActive&&-1===o.indexOf(n,f.id)&&(h.setActive(f,!1,c),l.push(f))},i.removeOld=function(b,c){var d,e,f,g,h=b.list,i=b.table,j=[];for(g=0;g<h.length;g++)d=h[g],e=d.collision,e.bodyA.isSleeping||e.bodyB.isSleeping?d.timeUpdated=c:c-d.timeUpdated>a&&j.push(g);for(g=0;g<j.length;g++)f=j[g]-g,d=h[f],delete i[d.id],h.splice(f,1)},i.clear=function(a){return a.table={},a.list.length=0,a.collisionStart.length=0,a.collisionActive.length=0,a.collisionEnd.length=0,a}}();var j={};!function(){j.ray=function(a,b,c,d){d=d||1e-100;for(var e=z.angle(b,c),f=z.magnitude(z.sub(b,c)),g=.5*(c.x+b.x),h=.5*(c.y+b.y),i=u.rectangle(g,h,f,d,{angle:e}),j=[],k=0;k<a.length;k++){var m=a[k];if(x.overlaps(m.bounds,i.bounds))for(var n=1===m.parts.length?0:1;n<m.parts.length;n++){var o=m.parts[n];if(x.overlaps(o.bounds,i.bounds)){var p=l.collides(o,i);if(p.collided){p.body=p.bodyA=p.bodyB=m,j.push(p);break}}}}return j},j.region=function(a,b,c){for(var d=[],e=0;e<a.length;e++){var f=a[e],g=x.overlaps(f.bounds,b);(g&&!c||!g&&c)&&d.push(f)}return d},j.point=function(a,b){for(var c=[],d=0;d<a.length;d++){var e=a[d];if(x.contains(e.bounds,b))for(var f=1===e.parts.length?0:1;f<e.parts.length;f++){var g=e.parts[f];if(x.contains(g.bounds,b)&&A.contains(g.vertices,b)){c.push(e);break}}}return c}}();var k={};!function(){k._restingThresh=4,k._positionDampen=.9,k._positionWarming=.8,k._frictionNormalMultiplier=5,k.preSolvePosition=function(a){var b,c,d;for(b=0;b<a.length;b++)c=a[b],c.isActive&&(d=c.activeContacts.length,c.collision.parentA.totalContacts+=d,c.collision.parentB.totalContacts+=d)},k.solvePosition=function(a,b){var c,d,e,f,g,h,i,j,l,m=z._temp[0],n=z._temp[1],o=z._temp[2],p=z._temp[3];for(c=0;c<a.length;c++)d=a[c],d.isActive&&(e=d.collision,f=e.parentA,g=e.parentB,h=e.normal,i=z.sub(z.add(g.positionImpulse,g.position,m),z.add(f.positionImpulse,z.sub(g.position,e.penetration,n),o),p),d.separation=z.dot(h,i));for(c=0;c<a.length;c++)d=a[c],!d.isActive||d.separation<0||(e=d.collision,f=e.parentA,g=e.parentB,h=e.normal,l=(d.separation-d.slop)*b,(f.isStatic||g.isStatic)&&(l*=2),f.isStatic||f.isSleeping||(j=k._positionDampen/f.totalContacts,f.positionImpulse.x+=h.x*l*j,f.positionImpulse.y+=h.y*l*j),g.isStatic||g.isSleeping||(j=k._positionDampen/g.totalContacts,g.positionImpulse.x-=h.x*l*j,g.positionImpulse.y-=h.y*l*j))},k.postSolvePosition=function(a){for(var b=0;b<a.length;b++){var c=a[b];if(c.totalContacts=0,0!==c.positionImpulse.x||0!==c.positionImpulse.y){for(var d=0;d<c.parts.length;d++){var e=c.parts[d];A.translate(e.vertices,c.positionImpulse),x.update(e.bounds,e.vertices,c.velocity),e.position.x+=c.positionImpulse.x,e.position.y+=c.positionImpulse.y}c.positionPrev.x+=c.positionImpulse.x,c.positionPrev.y+=c.positionImpulse.y,z.dot(c.positionImpulse,c.velocity)<0?(c.positionImpulse.x=0,c.positionImpulse.y=0):(c.positionImpulse.x*=k._positionWarming,c.positionImpulse.y*=k._positionWarming)}}},k.preSolveVelocity=function(a){var b,c,d,e,f,g,h,i,j,k,l,m,n,o,p=z._temp[0],q=z._temp[1];for(b=0;b<a.length;b++)if(d=a[b],d.isActive)for(e=d.activeContacts,f=d.collision,g=f.parentA,h=f.parentB,i=f.normal,j=f.tangent,c=0;c<e.length;c++)k=e[c],l=k.vertex,m=k.normalImpulse,n=k.tangentImpulse,(0!==m||0!==n)&&(p.x=i.x*m+j.x*n,p.y=i.y*m+j.y*n,g.isStatic||g.isSleeping||(o=z.sub(l,g.position,q),g.positionPrev.x+=p.x*g.inverseMass,g.positionPrev.y+=p.y*g.inverseMass,g.anglePrev+=z.cross(o,p)*g.inverseInertia),h.isStatic||h.isSleeping||(o=z.sub(l,h.position,q),h.positionPrev.x-=p.x*h.inverseMass,h.positionPrev.y-=p.y*h.inverseMass,h.anglePrev-=z.cross(o,p)*h.inverseInertia))},k.solveVelocity=function(a,b){for(var c=b*b,d=z._temp[0],e=z._temp[1],f=z._temp[2],g=z._temp[3],h=z._temp[4],i=z._temp[5],j=0;j<a.length;j++){var l=a[j];if(l.isActive){var m=l.collision,n=m.parentA,p=m.parentB,q=m.normal,r=m.tangent,s=l.activeContacts,t=1/s.length;n.velocity.x=n.position.x-n.positionPrev.x,n.velocity.y=n.position.y-n.positionPrev.y,p.velocity.x=p.position.x-p.positionPrev.x,p.velocity.y=p.position.y-p.positionPrev.y,n.angularVelocity=n.angle-n.anglePrev,p.angularVelocity=p.angle-p.anglePrev;for(var u=0;u<s.length;u++){var v=s[u],w=v.vertex,x=z.sub(w,n.position,e),y=z.sub(w,p.position,f),A=z.add(n.velocity,z.mult(z.perp(x),n.angularVelocity),g),B=z.add(p.velocity,z.mult(z.perp(y),p.angularVelocity),h),C=z.sub(A,B,i),D=z.dot(q,C),E=z.dot(r,C),F=Math.abs(E),G=o.sign(E),H=(1+l.restitution)*D,I=o.clamp(l.separation+D,0,1)*k._frictionNormalMultiplier,J=E,K=1/0;F>l.friction*l.frictionStatic*I*c&&(J=l.friction*G*c,K=F);var L=z.cross(x,q),M=z.cross(y,q),N=n.inverseMass+p.inverseMass+n.inverseInertia*L*L+p.inverseInertia*M*M;if(H*=t/N,J*=t/(1+N),0>D&&D*D>k._restingThresh*c)v.normalImpulse=0,v.tangentImpulse=0;else{var 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i.collided=!1,i;if(g=a(d.vertices,b.vertices,d.axes),g.overlap<=0)return i.collided=!1,i;f.overlap<g.overlap?(h=f,i.axisBody=b):(h=g,i.axisBody=d),i.axisNumber=h.axisNumber}i.bodyA=b.id<d.id?b:d,i.bodyB=b.id<d.id?d:b,i.collided=!0,i.normal=h.axis,i.depth=h.overlap,i.parentA=i.bodyA.parent,i.parentB=i.bodyB.parent,b=i.bodyA,d=i.bodyB,z.dot(i.normal,z.sub(d.position,b.position))>0&&(i.normal=z.neg(i.normal)),i.tangent=z.perp(i.normal),i.penetration={x:i.normal.x*i.depth,y:i.normal.y*i.depth};var r=c(b,d,i.normal),s=i.supports||[];if(s.length=0,A.contains(b.vertices,r[0])&&s.push(r[0]),A.contains(b.vertices,r[1])&&s.push(r[1]),s.length<2){var t=c(d,b,z.neg(i.normal));A.contains(d.vertices,t[0])&&s.push(t[0]),s.length<2&&A.contains(d.vertices,t[1])&&s.push(t[1])}return s.length<1&&(s=[r[0]]),i.supports=s,i};var a=function(a,c,d){for(var e,f,g=z._temp[0],h=z._temp[1],i={overlap:Number.MAX_VALUE},j=0;j<d.length;j++){if(f=d[j],b(g,a,f),b(h,c,f),e=Math.min(g.max-h.min,h.max-g.min),0>=e)return 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c.render=o.extend(g,c.render),c.id=c.id||o.nextId(),c.label=c.label||"Constraint",c.type="constraint",c.stiffness=c.stiffness||1,c.angularStiffness=c.angularStiffness||0,c.angleA=c.bodyA?c.bodyA.angle:c.angleA,c.angleB=c.bodyB?c.bodyB.angle:c.angleB,c},m.solveAll=function(a,b){for(var c=0;c<a.length;c++)m.solve(a[c],b)},m.solve=function(c,d){var e=c.bodyA,f=c.bodyB,g=c.pointA,h=c.pointB;e&&!e.isStatic&&(c.pointA=z.rotate(g,e.angle-c.angleA),c.angleA=e.angle),f&&!f.isStatic&&(c.pointB=z.rotate(h,f.angle-c.angleB),c.angleB=f.angle);var i=g,j=h;if(e&&(i=z.add(e.position,g)),f&&(j=z.add(f.position,h)),i&&j){var k=z.sub(i,j),l=z.magnitude(k);0===l&&(l=a);var m=(l-c.length)/l,n=z.div(k,l),p=z.mult(k,.5*m*c.stiffness*d*d);if(!(Math.abs(1-l/c.length)<b*d)){var q,r,s,u,v,w,x,y;e&&!e.isStatic?(s={x:i.x-e.position.x+p.x,y:i.y-e.position.y+p.y},e.velocity.x=e.position.x-e.positionPrev.x,e.velocity.y=e.position.y-e.positionPrev.y,e.angularVelocity=e.angle-e.anglePrev,q=z.add(e.velocity,z.mult(z.perp(s),e.angularVelocity)),v=z.dot(s,n),x=e.inverseMass+e.inverseInertia*v*v):(q={x:0,y:0},x=e?e.inverseMass:0),f&&!f.isStatic?(u={x:j.x-f.position.x-p.x,y:j.y-f.position.y-p.y},f.velocity.x=f.position.x-f.positionPrev.x,f.velocity.y=f.position.y-f.positionPrev.y,f.angularVelocity=f.angle-f.anglePrev,r=z.add(f.velocity,z.mult(z.perp(u),f.angularVelocity)),w=z.dot(u,n),y=f.inverseMass+f.inverseInertia*w*w):(r={x:0,y:0},y=f?f.inverseMass:0);var A=z.sub(r,q),B=z.dot(n,A)/(x+y);B>0&&(B=0);var C,D={x:n.x*B,y:n.y*B};e&&!e.isStatic&&(C=z.cross(s,D)*e.inverseInertia*(1-c.angularStiffness),t.set(e,!1),C=o.clamp(C,-.01,.01),e.constraintImpulse.x-=p.x,e.constraintImpulse.y-=p.y,e.constraintImpulse.angle+=C,e.position.x-=p.x,e.position.y-=p.y,e.angle+=C),f&&!f.isStatic&&(C=z.cross(u,D)*f.inverseInertia*(1-c.angularStiffness),t.set(f,!1),C=o.clamp(C,-.01,.01),f.constraintImpulse.x+=p.x,f.constraintImpulse.y+=p.y,f.constraintImpulse.angle-=C,f.position.x+=p.x,f.position.y+=p.y,f.angle-=C)}}},m.postSolveAll=function(a){for(var b=0;b<a.length;b++){for(var c=a[b],d=c.constraintImpulse,e=0;e<c.parts.length;e++){var f=c.parts[e];A.translate(f.vertices,d),e>0&&(f.position.x+=d.x,f.position.y+=d.y),0!==d.angle&&(A.rotate(f.vertices,d.angle,c.position),w.rotate(f.axes,d.angle),e>0&&z.rotateAbout(f.position,d.angle,c.position,f.position)),x.update(f.bounds,f.vertices)}d.angle=0,d.x=0,d.y=0}}}();var n={};!function(){n.create=function(b,d){var e=(b?b.mouse:null)||(d?d.mouse:null);!e&&b&&b.render&&b.render.canvas?e=r.create(b.render.canvas):(e=r.create(),o.log("MouseConstraint.create: options.mouse was undefined, engine.render.canvas was undefined, may not function as expected","warn"));var f=m.create({label:"Mouse Constraint",pointA:e.position,pointB:{x:0,y:0},length:.01,stiffness:.1,angularStiffness:1,render:{strokeStyle:"#90EE90",lineWidth:3}}),g={type:"mouseConstraint",mouse:e,body:null,constraint:f,collisionFilter:{category:1,mask:4294967295,group:0}},h=o.extend(g,d);return q.on(b,"tick",function(){var d=c.allBodies(b.world);n.update(h,d),a(h)}),h},n.update=function(a,b){var c=a.mouse,d=a.constraint,e=a.body;if(0===c.button){if(d.bodyB)t.set(d.bodyB,!1),d.pointA=c.position;else for(var g=0;g<b.length;g++)if(e=b[g],x.contains(e.bounds,c.position)&&f.canCollide(e.collisionFilter,a.collisionFilter))for(var h=e.parts.length>1?1:0;h<e.parts.length;h++){var i=e.parts[h];if(A.contains(i.vertices,c.position)){d.pointA=c.position,d.bodyB=a.body=e,d.pointB={x:c.position.x-e.position.x,y:c.position.y-e.position.y},d.angleB=e.angle,t.set(e,!1),q.trigger(a,"startdrag",{mouse:c,body:e});break}}}else d.bodyB=a.body=null,d.pointB=null,e&&q.trigger(a,"enddrag",{mouse:c,body:e})};var a=function(a){var b=a.mouse,c=b.sourceEvents;c.mousemove&&q.trigger(a,"mousemove",{mouse:b}),c.mousedown&&q.trigger(a,"mousedown",{mouse:b}),c.mouseup&&q.trigger(a,"mouseup",{mouse:b}),r.clearSourceEvents(b)}}();var o={};!function(){o._nextId=0,o._seed=0,o.extend=function(a,b){var c,d,e;"boolean"==typeof b?(c=2,e=b):(c=1,e=!0),d=Array.prototype.slice.call(arguments,c);for(var f=0;f<d.length;f++){var g=d[f];if(g)for(var h in g)e&&g[h]&&g[h].constructor===Object?a[h]&&a[h].constructor!==Object?a[h]=g[h]:(a[h]=a[h]||{},o.extend(a[h],e,g[h])):a[h]=g[h]}return a},o.clone=function(a,b){return o.extend({},b,a)},o.keys=function(a){if(Object.keys)return Object.keys(a);var 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f={enabled:!0,positionIterations:6,velocityIterations:4,constraintIterations:2,enableSleeping:!1,events:[],timing:{fps:a,timestamp:0,delta:e,correction:1,deltaMin:1e3/a,deltaMax:1e3/(.5*a),timeScale:1,isFixed:!1,frameRequestId:0},broadphase:{controller:g}},h=o.extend(f,c);if(b||h.render){var j={element:b,controller:B};h.render=o.extend(j,h.render)}return h.render&&h.render.controller&&(h.render=h.render.controller.create(h.render)),h.world=d.create(h.world),h.pairs=i.create(),h.broadphase=h.broadphase.controller.create(h.broadphase),h.metrics=h.metrics||{extended:!1},h},p.update=function(a,b,d){d="undefined"!=typeof d?d:1;var e,g=a.world,l=a.timing,n=a.broadphase,o=[];l.timestamp+=b*l.timeScale,l.correction=d;var p={timestamp:a.timing.timestamp};q.trigger(a,"beforeUpdate",p);var r=c.allBodies(g),s=c.allConstraints(g);for(a.enableSleeping&&t.update(r,l.timeScale),h(r,g.gravity),j(r,b,l.timeScale,d,g.bounds),e=0;e<a.constraintIterations;e++)m.solveAll(s,l.timeScale);m.postSolveAll(r),n.controller?(g.isModified&&n.controller.clear(n),n.controller.update(n,r,a,g.isModified),o=n.pairsList):o=r;var u=n.detector(o,a),v=a.pairs,w=l.timestamp;for(i.update(v,u,w),i.removeOld(v,w),a.enableSleeping&&t.afterCollisions(v.list,l.timeScale),v.collisionStart.length>0&&q.trigger(a,"collisionStart",{pairs:v.collisionStart}),k.preSolvePosition(v.list),e=0;e<a.positionIterations;e++)k.solvePosition(v.list,l.timeScale);for(k.postSolvePosition(r),k.preSolveVelocity(v.list),e=0;e<a.velocityIterations;e++)k.solveVelocity(v.list,l.timeScale);return 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u={};!function(){u.rectangle=function(a,c,d,e,f){f=f||{};var g={label:"Rectangle Body",position:{x:a,y:c},vertices:A.fromPath("L 0 0 L "+d+" 0 L "+d+" "+e+" L 0 "+e)};if(f.chamfer){var h=f.chamfer;g.vertices=A.chamfer(g.vertices,h.radius,h.quality,h.qualityMin,h.qualityMax),delete f.chamfer}return b.create(o.extend({},g,f))},u.trapezoid=function(a,c,d,e,f,g){g=g||{},f*=.5;var h=(1-2*f)*d,i=d*f,j=i+h,k=j+i,l={label:"Trapezoid Body",position:{x:a,y:c},vertices:A.fromPath("L 0 0 L "+i+" "+-e+" L "+j+" "+-e+" L "+k+" 0")};if(g.chamfer){var m=g.chamfer;l.vertices=A.chamfer(l.vertices,m.radius,m.quality,m.qualityMin,m.qualityMax),delete g.chamfer}return b.create(o.extend({},l,g))},u.circle=function(a,b,c,d,e){d=d||{},d.label="Circle Body",e=e||25;var f=Math.ceil(Math.max(10,Math.min(e,c)));return f%2===1&&(f+=1),d.circleRadius=c,u.polygon(a,b,f,c,d)},u.polygon=function(a,c,d,e,f){if(f=f||{},3>d)return u.circle(a,c,e,f);for(var g=2*Math.PI/d,h="",i=.5*g,j=0;d>j;j+=1){var 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l=d.activeContacts[0].vertex.x,m=d.activeContacts[0].vertex.y;2===d.activeContacts.length&&(l=(d.activeContacts[0].vertex.x+d.activeContacts[1].vertex.x)/2,m=(d.activeContacts[0].vertex.y+d.activeContacts[1].vertex.y)/2),e.bodyB===e.supports[0].body||e.bodyA.isStatic===!0?h.moveTo(l-8*e.normal.x,m-8*e.normal.y):h.moveTo(l+8*e.normal.x,m+8*e.normal.y),h.lineTo(l,m)}h.strokeStyle=i.wireframes?"rgba(255,165,0,0.7)":"orange",h.lineWidth=1,h.stroke()},B.separations=function(a,b,c){var d,e,f,g,h,i=c,j=a.render.options;for(i.beginPath(),h=0;h<b.length;h++)if(d=b[h],d.isActive){e=d.collision,f=e.bodyA,g=e.bodyB;var k=1;g.isStatic||f.isStatic||(k=.5),g.isStatic&&(k=0),i.moveTo(g.position.x,g.position.y),i.lineTo(g.position.x-e.penetration.x*k,g.position.y-e.penetration.y*k),k=1,g.isStatic||f.isStatic||(k=.5),f.isStatic&&(k=0),i.moveTo(f.position.x,f.position.y),i.lineTo(f.position.x+e.penetration.x*k,f.position.y+e.penetration.y*k)}i.strokeStyle=j.wireframes?"rgba(255,165,0,0.5)":"orange",i.stroke()},B.grid=function(a,b,c){var d=c,e=a.render.options;d.strokeStyle=e.wireframes?"rgba(255,180,0,0.1)":"rgba(255,180,0,0.5)",d.beginPath();for(var f=o.keys(b.buckets),g=0;g<f.length;g++){var h=f[g];if(!(b.buckets[h].length<2)){var i=h.split(",");d.rect(.5+parseInt(i[0],10)*b.bucketWidth,.5+parseInt(i[1],10)*b.bucketHeight,b.bucketWidth,b.bucketHeight)}}d.lineWidth=1,d.stroke()},B.inspector=function(a,b){var c,d=a.engine,e=a.selected,f=d.render,g=f.options;if(g.hasBounds){var h=f.bounds.max.x-f.bounds.min.x,i=f.bounds.max.y-f.bounds.min.y,j=h/f.options.width,k=i/f.options.height;b.scale(1/j,1/k),b.translate(-f.bounds.min.x,-f.bounds.min.y)}for(var l=0;l<e.length;l++){var m=e[l].data;switch(b.translate(.5,.5),b.lineWidth=1,b.strokeStyle="rgba(255,165,0,0.9)",b.setLineDash([1,2]),m.type){case"body":c=m.bounds,b.beginPath(),b.rect(Math.floor(c.min.x-3),Math.floor(c.min.y-3),Math.floor(c.max.x-c.min.x+6),Math.floor(c.max.y-c.min.y+6)),b.closePath(),b.stroke();break;case"constraint":var n=m.pointA;m.bodyA&&(n=m.pointB),b.beginPath(),b.arc(n.x,n.y,10,0,2*Math.PI),b.closePath(),b.stroke()}b.setLineDash([0]),b.translate(-.5,-.5)}null!==a.selectStart&&(b.translate(.5,.5),b.lineWidth=1,b.strokeStyle="rgba(255,165,0,0.6)",b.fillStyle="rgba(255,165,0,0.1)",c=a.selectBounds,b.beginPath(),b.rect(Math.floor(c.min.x),Math.floor(c.min.y),Math.floor(c.max.x-c.min.x),Math.floor(c.max.y-c.min.y)),b.closePath(),b.stroke(),b.fill(),b.translate(-.5,-.5)),g.hasBounds&&b.setTransform(1,0,0,1,0,0)};var a=function(a,b){var c=document.createElement("canvas");return c.width=a,c.height=b,c.oncontextmenu=function(){return!1},c.onselectstart=function(){return!1},c},b=function(a){var b=a.getContext("2d"),c=window.devicePixelRatio||1,d=b.webkitBackingStorePixelRatio||b.mozBackingStorePixelRatio||b.msBackingStorePixelRatio||b.oBackingStorePixelRatio||b.backingStorePixelRatio||1;return c/d},d=function(a,b){var c=a.textures[b];return c?c:(c=a.textures[b]=new Image,c.src=b,c)},e=function(a,b){var c=b;/(jpg|gif|png)$/.test(b)&&(c="url("+b+")"),a.canvas.style.background=c,a.canvas.style.backgroundSize="contain",a.currentBackground=b}}();var C={};!function(){C.create=function(a){var b={controller:C,element:null,canvas:null,options:{width:800,height:600,background:"#fafafa",wireframeBackground:"#222",hasBounds:!1,enabled:!0,wireframes:!0,showSleeping:!0,showDebug:!1,showBroadphase:!1,showBounds:!1,showVelocity:!1,showCollisions:!1,showAxes:!1,showPositions:!1,showAngleIndicator:!1,showIds:!1,showShadows:!1}},c=o.extend(b,a),d=!c.options.wireframes&&"transparent"===c.options.background;return c.context=new PIXI.WebGLRenderer(c.options.width,c.options.height,{view:c.canvas,transparent:d,antialias:!0,backgroundColor:a.background}),c.canvas=c.context.view,c.container=new PIXI.Container,c.bounds=c.bounds||{min:{x:0,y:0},max:{x:c.options.width,y:c.options.height}},c.textures={},c.sprites={},c.primitives={},c.spriteContainer=new 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