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@@ -1,38 +1,1153 @@
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+/**
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+ * Physics
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+ * A requirified port of Traer Physics from Processing to JavaScript.
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+ * Copyright (C) 2012 jonobr1
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+ *
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+ * This program is free software: you can redistribute it and/or modify
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+ * it under the terms of the GNU General Public License as published by
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+ * the Free Software Foundation, either version 3 of the License, or
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+ * (at your option) any later version.
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+ *
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+ * This program is distributed in the hope that it will be useful,
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+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+ * GNU General Public License for more details.
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+ *
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+ * You should have received a copy of the GNU General Public License
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+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
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+ */
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+require=(function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
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+var _ = require('./common')
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+, Vector = require('./vector')
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+;
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-require=(function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){var _=require('./common'),Vector=require('./vector');function Attraction(a,b,k,d){this.a=a;this.b=b;this.constant=k;this.on=true;this.distanceMin=d;this.distanceMinSquared=d*d;}
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-_.extend(Attraction.prototype,{update:function(){var a=this.a,b=this.b;if(!this.on||(a.fixed&&b.fixed)){return;}
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-var a2bx=a.position.x-b.position.x;var a2by=a.position.y-b.position.y;var a2b=new Vector().sub(a.position,b.position);var a2bdistanceSquared=Math.max(a2b.lengthSquared(),this.distanceMinSquared);var force=(this.constant*a.mass*b.mass)/a2bdistanceSquared;var length=Math.sqrt(a2bdistanceSquared);if(force===0||length===0){a2b.clear();}else{a2b.divideScalar(length).multiplyScalar(force);}
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-if(!a.fixed){a.force.subSelf(a2b);}
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-if(!b.fixed){b.force.addSelf(a2b);}
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-return this;},resting:function(){var a=this.a;var b=this.b;var l=this.distanceMin;return!this.on||(a.fixed&&b.fixed)||(a.fixed&&b.position.distanceTo(a.position)<=l&&b.resting())||(b.fixed&&a.position.distanceTo(b.position)<=l&&a.resting());}});module.exports=Attraction;},{"./common":8,"./vector":12}],2:[function(require,module,exports){var _=require('./common'),Vector=require('./vector');function Integrator(s){this.s=s;this.originalPositions=[];this.originalVelocities=[];this.k1Forces=[];this.k1Velocities=[];this.k2Forces=[];this.k2Velocities=[];this.k3Forces=[];this.k3Velocities=[];this.k4Forces=[];this.k4Velocities=[];}
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-_.extend(Integrator.prototype,{allocateParticles:function(){while(this.s.particles.length>this.originalPositions.length){this.originalPositions.push(new Vector());this.originalVelocities.push(new Vector());this.k1Forces.push(new Vector());this.k1Velocities.push(new Vector());this.k2Forces.push(new Vector());this.k2Velocities.push(new Vector());this.k3Forces.push(new Vector());this.k3Velocities.push(new Vector());this.k4Forces.push(new Vector());this.k4Velocities.push(new Vector());}
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-return this;},step:function(dt){var s=this.s;var p,x,y;this.allocateParticles();_.each(s.particles,function(p,i){if(!p.fixed){this.originalPositions[i].copy(p.position);this.originalVelocities[i].copy(p.velocity);}
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-p.force.clear();},this);s.applyForces();_.each(s.particles,function(p,i){if(!p.fixed){this.k1Forces[i].copy(p.force);this.k1Velocities[i].copy(p.velocity);}
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-p.force.clear();},this);_.each(s.particles,function(p,i){if(!p.fixed){var op=this.originalPositions[i];var k1v=this.k1Velocities[i];x=op.x+k1v.x*0.5*dt;y=op.y+k1v.y*0.5*dt;p.position.set(x,y);var ov=this.originalVelocities[i];var k1f=this.k1Forces[i];x=ov.x+k1f.x*0.5*dt/p.mass;y=ov.y+k1f.y*0.5*dt/p.mass;p.velocity.set(x,y);}},this);s.applyForces();_.each(s.particles,function(p,i){if(!p.fixed){this.k2Forces[i].copy(p.force);this.k2Velocities[i].copy(p.velocity);}
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-p.force.clear();},this);_.each(s.particles,function(p,i){if(!p.fixed){var op=this.originalPositions[i];var k2v=this.k2Velocities[i];p.position.set(op.x+k2v.x*0.5*dt,op.y+k2v.y*0.5*dt);var ov=this.originalVelocities[i];var k2f=this.k2Forces[i];p.velocity.set(ov.x+k2f.x*0.5*dt/p.mass,ov.y+k2f.y*0.5*dt/p.mass);}},this);s.applyForces();_.each(s.particles,function(p,i){if(!p.fixed){this.k3Forces[i].copy(p.force);this.k3Velocities[i].copy(p.velocity);}
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-p.force.clear();},this);_.each(s.particles,function(p,i){if(!p.fixed){var op=this.originalPositions[i];var k3v=this.k3Velocities[i];p.position.set(op.x+k3v.x*dt,op.y+k3v.y*dt)
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-var ov=this.originalVelocities[i];var k3f=this.k3Forces[i];p.velocity.set(ov.x+k3f.x*dt/p.mass,ov.y+k3f.y*dt/p.mass);}},this);s.applyForces();_.each(s.particles,function(p,i){if(!p.fixed){this.k4Forces[i].copy(p.force);this.k4Velocities[i].copy(p.velocity);}},this);_.each(s.particles,function(p,i){p.age+=dt;if(!p.fixed){var op=this.originalPositions[i];var k1v=this.k1Velocities[i];var k2v=this.k2Velocities[i];var k3v=this.k3Velocities[i];var k4v=this.k4Velocities[i];var x=op.x+dt/6.0*(k1v.x+2.0*k2v.x+2.0*k3v.x+k4v.x);var y=op.y+dt/6.0*(k1v.y+2.0*k2v.y+2.0*k3v.y+k4v.y);p.position.set(x,y);var ov=this.originalVelocities[i];var k1f=this.k1Forces[i];var k2f=this.k2Forces[i];var k3f=this.k3Forces[i];var k4f=this.k4Forces[i];x=ov.x+dt/(6.0*p.mass)*(k1f.x+2.0*k2f.x+2.0*k3f.x+k4f.x);y=ov.y+dt/(6.0*p.mass)*(k1f.y+2.0*k2f.y+2.0*k3f.y+k4f.y);p.velocity.set(x,y);}},this);return this;}});module.exports=Integrator;},{"./common":8,"./vector":12}],3:[function(require,module,exports){var _=require('./common'),Vector=require('./vector');function Particle(mass){this.position=new Vector();this.velocity=new Vector();this.force=new Vector();this.mass=mass;this.fixed=false;this.age=0;this.dead=false;}
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-_.extend(Particle.prototype,{distanceTo:function(p){return this.position.distanceTo(p.position);},makeFixed:function(){this.fixed=true;this.velocity.clear();return this;},reset:function(){this.age=0;this.dead=false;this.position.clear();this.velocity.clear();this.force.clear();this.mass=1.0;return this;},resting:function(){return this.fixed||this.velocity.isZero()&&this.force.isZero();}});module.exports=Particle;},{"./common":8,"./vector":12}],4:[function(require,module,exports){var _=require('./common'),Vector=require('./Vector'),Particle=require('./Particle'),Spring=require('./Spring'),Attraction=require('./Attraction'),Integrator=require('./Integrator');function ParticleSystem(){this.__equilibriumCriteria={particles:true,springs:true,attractions:true};this.__equilibrium=false;this.__optimized=false;this.particles=[];this.springs=[];this.attractions=[];this.forces=[];this.integrator=new Integrator(this);this.hasDeadParticles=false;var args=arguments.length;if(args===1){this.gravity=new Vector(0,arguments[0]);this.drag=ParticleSystem.DEFAULT_DRAG;}else if(args===2){this.gravity=new Vector(0,arguments[0]);this.drag=arguments[1];}else if(args===3){this.gravity=new Vector(arguments[0],arguments[1]);this.drag=arguments[3];}else{this.gravity=new Vector(0,ParticleSystem.DEFAULT_GRAVITY);this.drag=ParticleSystem.DEFAULT_DRAG;}}
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-_.extend(ParticleSystem,{DEFAULT_GRAVITY:0,DEFAULT_DRAG:0.001,Attraction:Attraction,Integrator:Integrator,Particle:Particle,Spring:Spring,Vector:Vector});_.extend(ParticleSystem.prototype,{optimize:function(b){this.__optimized=!!b;return this;},setGravity:function(x,y){this.gravity.set(x,y);return this;},setEquilibriumCriteria:function(particles,springs,attractions){this.__equilibriumCriteria.particles=!!particles;this.__equilibriumCriteria.springs=!!springs;this.__equilibriumCriteria.attractions=!!attractions;},tick:function(){this.integrator.step(arguments.length===0?1:arguments[0]);if(this.__optimized){this.__equilibrium=!this.needsUpdate();}
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-return this;},needsUpdate:function(){var i=0;if(this.__equilibriumCriteria.particles){for(i=0,l=this.particles.length;i<l;i++){if(!this.particles[i].resting()){return true;}}}
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-if(this.__equilibriumCriteria.springs){for(i=0,l=this.springs.length;i<l;i++){if(!this.springs[i].resting()){return true;}}}
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-if(this.__equilibriumCriteria.attractions){for(i=0,l=this.attractions.length;i<l;i++){if(!this.attractions[i].resting()){return true;}}}
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-return false;},addParticle:function(p){this.particles.push(p);return this;},addSpring:function(s){this.springs.push(s);return this;},addAttraction:function(a){this.attractions.push(a);return this;},makeParticle:function(m,x,y){var mass=_.isNumber(m)?m:1.0;var x=x||0;var y=y||0;var p=new Particle(mass);p.position.set(x,y);this.addParticle(p);return p;},makeSpring:function(a,b,k,d,l){var s=new Spring(a,b,k,d,l);this.addSpring(s);return s;},makeAttraction:function(a,b,k,d){var a=new Attraction(a,b,k,d);this.addAttraction(a);return a;},clear:function(){this.particles.length=0;this.springs.length=0;this.attractions.length=0;},applyForces:function(){if(!this.gravity.isZero()){_.each(this.particles,function(p){p.force.addSelf(this.gravity);},this);}
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-var t=new Vector();_.each(this.particles,function(p){t.set(p.velocity.x*-1*this.drag,p.velocity.y*-1*this.drag);p.force.addSelf(t);},this);_.each(this.springs,function(s){s.update();});_.each(this.attractions,function(a){a.update();});_.each(this.forces,function(f){f.update();});return this;},clearForces:function(){_.each(this.particles,function(p){p.clear();});return this;}});module.exports=ParticleSystem;},{"./Attraction":1,"./Integrator":2,"./Particle":3,"./Spring":6,"./Vector":7,"./common":8}],5:[function(require,module,exports){var _=require('./common'),raf=require('./requestAnimationFrame'),ParticleSystem=require('./ParticleSystem');var updates=[];function Physics(){var _this=this;this.playing=false;ParticleSystem.apply(this,arguments);this.animations=[];this.equilibriumCallbacks=[];update.call(this);}
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-_.extend(Physics,ParticleSystem,{superclass:ParticleSystem});_.extend(Physics.prototype,ParticleSystem.prototype,{play:function(){if(this.playing){return this;}
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-this.playing=true;this.__equilibrium=false;update.call(this);return this;},pause:function(){this.playing=false;return this;},toggle:function(){if(this.playing){this.pause();}else{this.play();}
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-return this;},onUpdate:function(func){if(_.indexOf(this.animations,func)>=0||!_.isFunction(func)){return this;}
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-this.animations.push(func);return this;},onEquilibrium:function(func){if(_.indexOf(this.equilibriumCallbacks,func)>=0||!_.isFunction(func)){return this;}
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-this.equilibriumCallbacks.push(func);return this;},update:function(){if(!this.__equilibrium){return this;}
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-this.__equilibrium=false;if(this.playing){update.call(this);}
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-return this;}});function update(){var _this=this;this.tick();_.each(this.animations,function(a){a();});if((this.__optimized&&!this.__equilibrium||!this.__optimized)&&this.playing){raf(function(){update.call(_this);});}
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-if(this.__optimized&&this.__equilibrium){_.each(this.equilibriumCallbacks,function(a){a();});}}
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-module.exports=Physics;},{"./ParticleSystem":4,"./common":8,"./requestAnimationFrame":11}],6:[function(require,module,exports){var _=require('./common'),Vector=require('./vector');function Spring(a,b,k,d,l){this.constant=k;this.damping=d;this.length=l;this.a=a;this.b=b;this.on=true;}
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-_.extend(Spring.prototype,{currentLength:function(){return this.a.position.distanceTo(this.b.position);},update:function(){var a=this.a;var b=this.b;if(!(this.on&&(!a.fixed||!b.fixed)))return this;var a2b=new Vector().sub(a.position,b.position);var d=a2b.length();if(d===0){a2b.clear();}else{a2b.divideScalar(d);}
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-var fspring=-1*(d-this.length)*this.constant;var va2b=new Vector().sub(a.velocity,b.velocity);var fdamping=-1*this.damping*va2b.dot(a2b);var fr=fspring+fdamping;a2b.multiplyScalar(fr);if(!a.fixed){a.force.addSelf(a2b);}
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-if(!b.fixed){b.force.subSelf(a2b);}
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-return this;},resting:function(){var a=this.a;var b=this.b;var l=this.length;return!this.on||(a.fixed&&b.fixed)||(a.fixed&&(l===0?b.position.equals(a.position):b.position.distanceTo(a.position)<=l)&&b.resting())||(b.fixed&&(l===0?a.position.equals(b.position):a.position.distanceTo(b.position)<=l)&&a.resting());}});module.exports=Spring;},{"./common":8,"./vector":12}],7:[function(require,module,exports){var _=require('./common');function Vector(x,y){this.x=x||0;this.y=y||0;}
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-_.extend(Vector.prototype,{set:function(x,y){this.x=x;this.y=y;return this;},copy:function(v){this.x=v.x;this.y=v.y;return this;},clear:function(){this.x=0;this.y=0;return this;},clone:function(){return new Vector(this.x,this.y);},add:function(v1,v2){this.x=v1.x+v2.x;this.y=v1.y+v2.y;return this;},addSelf:function(v){this.x+=v.x;this.y+=v.y;return this;},sub:function(v1,v2){this.x=v1.x-v2.x;this.y=v1.y-v2.y;return this;},subSelf:function(v){this.x-=v.x;this.y-=v.y;return this;},multiplySelf:function(v){this.x*=v.x;this.y*=v.y;return this;},multiplyScalar:function(s){this.x*=s;this.y*=s;return this;},multiplyScalarXY:function(sx,sy){this.x*=sx;this.y*=sy;return this;},divideScalar:function(s){if(s){this.x/=s;this.y/=s;}else{this.set(0,0);}
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-return this;},negate:function(){return this.multiplyScalar(-1);},dot:function(v){return this.x*v.x+this.y*v.y;},lengthSquared:function(){return this.x*this.x+this.y*this.y;},length:function(){return Math.sqrt(this.lengthSquared());},normalize:function(){return this.divideScalar(this.length());},distanceTo:function(v){return Math.sqrt(this.distanceToSquared(v));},distanceToSquared:function(v){var dx=this.x-v.x,dy=this.y-v.y;return dx*dx+dy*dy;},setLength:function(l){return this.normalize().multiplyScalar(l);},equals:function(v){return(this.distanceTo(v)<0.0001);},lerp:function(v,t){var x=(v.x-this.x)*t+this.x;var y=(v.y-this.y)*t+this.y;return this.set(x,y);},isZero:function(){return(this.length()<0.0001);}});module.exports=Vector;},{"./common":8}],8:[function(require,module,exports){var breaker={};var ArrayProto=Array.prototype;var ObjProto=Object.prototype;var hasOwnProperty=ObjProto.hasOwnProperty;var slice=ArrayProto.slice;var nativeForEach=ArrayProto.forEach;var nativeIndexOf=ArrayProto.indexOf;var toString=ObjProto.toString;var has=function(obj,key){return hasOwnProperty.call(obj,key);};var each=function(obj,iterator,context){if(obj==null)return;if(nativeForEach&&obj.forEach===nativeForEach){obj.forEach(iterator,context);}else if(obj.length===+obj.length){for(var i=0,l=obj.length;i<l;i++){if(i in obj&&iterator.call(context,obj[i],i,obj)===breaker)return;}}else{for(var key in obj){if(_.has(obj,key)){if(iterator.call(context,obj[key],key,obj)===breaker)return;}}}};var identity=function(value){return value;};var sortedIndex=function(array,obj,iterator){iterator||(iterator=identity);var low=0,high=array.length;while(low<high){var mid=(low+high)>>1;iterator(array[mid])<iterator(obj)?low=mid+1:high=mid;}
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-return low;};module.exports={has:has,each:each,extend:function(obj){each(slice.call(arguments,1),function(source){for(var prop in source){obj[prop]=source[prop];}});return obj;},indexOf:function(array,item,isSorted){if(array==null)return-1;var i,l;if(isSorted){i=sortedIndex(array,item);return array[i]===item?i:-1;}
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-if(nativeIndexOf&&array.indexOf===nativeIndexOf)return array.indexOf(item);for(i=0,l=array.length;i<l;i++)if(i in array&&array[i]===item)return i;return-1;},sortedIndex:sortedIndex,identity:identity,isNumber:function(obj){return toString.call(obj)=='[object Number]';},isFunction:function(obj){return toString.call(obj)=='[object Function]'||typeof obj=='function';},isUndefined:function(obj){return obj===void 0;},isNull:function(obj){return obj===null;}};},{}],"H99CHA":[function(require,module,exports){var root=(function(){return this;})(),previousShortcut=root.Physics;module.exports=root.Physics=require('./Physics');},{"./Physics":5}],"physics":[function(require,module,exports){module.exports=require('H99CHA');},{}],11:[function(require,module,exports){module.exports=window.requestAnimationFrame||window.webkitRequestAnimationFrame||window.mozRequestAnimationFrame||window.oRequestAnimationFrame||window.msRequestAnimationFrame||function(callback){window.setTimeout(callback,1000/60);};},{}],12:[function(require,module,exports){module.exports=require(7)},{"./common":8}]},{},["H99CHA"])
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+ function Attraction(a, b, k, d) {
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+
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+ this.a = a;
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+ this.b = b;
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+ this.constant = k;
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+ this.on = true;
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+ this.distanceMin = d;
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+ this.distanceMinSquared = d * d;
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+
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+ }
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+
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+ _.extend(Attraction.prototype, {
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+
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+ update: function() {
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+
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+ var a = this.a, b = this.b;
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+ if (!this.on || (a.fixed && b.fixed)) {
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+ return;
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+ }
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+
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+ var a2bx = a.position.x - b.position.x;
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+ var a2by = a.position.y - b.position.y;
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+
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+ var a2b = new Vector().sub(a.position, b.position);
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+
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+ var a2bdistanceSquared = Math.max(a2b.lengthSquared(), this.distanceMinSquared);
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+
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+ var force = (this.constant * a.mass * b.mass) / a2bdistanceSquared;
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+
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+ var length = Math.sqrt(a2bdistanceSquared);
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+
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+ if (force === 0 || length === 0) {
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+ a2b.clear();
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+ } else {
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+ a2b.divideScalar(length).multiplyScalar(force);
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+ }
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+
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+ if (!a.fixed) {
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+ a.force.subSelf(a2b);
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+ }
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+ if (!b.fixed) {
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+ b.force.addSelf(a2b);
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+ }
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+
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+ return this;
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+
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+ },
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+
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+ /**
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+ * Returns a boolean describing whether the spring is resting or not.
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+ * Convenient for knowing whether or not the spring needs another update
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+ * tick.
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+ *
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+ * TODO: Test
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+ */
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+ resting: function() {
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+
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+ var a = this.a;
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+ var b = this.b;
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+ var l = this.distanceMin;
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+
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+ return !this.on || (a.fixed && b.fixed)
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+ || (a.fixed && b.position.distanceTo(a.position) <= l && b.resting())
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+ || (b.fixed && a.position.distanceTo(b.position) <= l && a.resting());
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+
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+ }
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+
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+ });
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+
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+ module.exports = Attraction;
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+
|
|
|
+},{"./common":8,"./vector":12}],2:[function(require,module,exports){
|
|
|
+var _ = require('./common')
|
|
|
+, Vector = require('./vector')
|
|
|
+;
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Runge Kutta Integrator
|
|
|
+ * http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods
|
|
|
+ *
|
|
|
+ * @class
|
|
|
+ */
|
|
|
+ function Integrator(s) {
|
|
|
+ this.s = s;
|
|
|
+ this.originalPositions = [];
|
|
|
+ this.originalVelocities = [];
|
|
|
+ this.k1Forces = [];
|
|
|
+ this.k1Velocities = [];
|
|
|
+ this.k2Forces = [];
|
|
|
+ this.k2Velocities = [];
|
|
|
+ this.k3Forces = [];
|
|
|
+ this.k3Velocities = [];
|
|
|
+ this.k4Forces = [];
|
|
|
+ this.k4Velocities = [];
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(Integrator.prototype, {
|
|
|
+
|
|
|
+ allocateParticles: function() {
|
|
|
+
|
|
|
+ while (this.s.particles.length > this.originalPositions.length) {
|
|
|
+ this.originalPositions.push(new Vector());
|
|
|
+ this.originalVelocities.push(new Vector());
|
|
|
+ this.k1Forces.push(new Vector());
|
|
|
+ this.k1Velocities.push(new Vector());
|
|
|
+ this.k2Forces.push(new Vector());
|
|
|
+ this.k2Velocities.push(new Vector());
|
|
|
+ this.k3Forces.push(new Vector());
|
|
|
+ this.k3Velocities.push(new Vector());
|
|
|
+ this.k4Forces.push(new Vector());
|
|
|
+ this.k4Velocities.push(new Vector());
|
|
|
+ }
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ step: function(dt) {
|
|
|
+
|
|
|
+ var s = this.s;
|
|
|
+ var p, x, y;
|
|
|
+
|
|
|
+ this.allocateParticles();
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+ this.originalPositions[i].copy(p.position);
|
|
|
+ this.originalVelocities[i].copy(p.velocity);
|
|
|
+ }
|
|
|
+ p.force.clear();
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ // K1
|
|
|
+
|
|
|
+ s.applyForces();
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+ this.k1Forces[i].copy(p.force);
|
|
|
+ this.k1Velocities[i].copy(p.velocity);
|
|
|
+ }
|
|
|
+ p.force.clear();
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ // K2
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+
|
|
|
+ var op = this.originalPositions[i];
|
|
|
+ var k1v = this.k1Velocities[i];
|
|
|
+ x = op.x + k1v.x * 0.5 * dt;
|
|
|
+ y = op.y + k1v.y * 0.5 * dt;
|
|
|
+ p.position.set(x, y);
|
|
|
+
|
|
|
+ var ov = this.originalVelocities[i];
|
|
|
+ var k1f = this.k1Forces[i];
|
|
|
+ x = ov.x + k1f.x * 0.5 * dt / p.mass;
|
|
|
+ y = ov.y + k1f.y * 0.5 * dt / p.mass;
|
|
|
+ p.velocity.set(x, y);
|
|
|
+
|
|
|
+ }
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ s.applyForces();
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+ this.k2Forces[i].copy(p.force);
|
|
|
+ this.k2Velocities[i].copy(p.velocity);
|
|
|
+ }
|
|
|
+ p.force.clear();
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ // K3
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+
|
|
|
+ var op = this.originalPositions[i];
|
|
|
+ var k2v = this.k2Velocities[i];
|
|
|
+ p.position.set(op.x + k2v.x * 0.5 * dt, op.y + k2v.y * 0.5 * dt);
|
|
|
+
|
|
|
+ var ov = this.originalVelocities[i];
|
|
|
+ var k2f = this.k2Forces[i];
|
|
|
+ p.velocity.set(ov.x + k2f.x * 0.5 * dt / p.mass, ov.y + k2f.y * 0.5 * dt / p.mass);
|
|
|
+ }
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ s.applyForces();
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+ this.k3Forces[i].copy(p.force);
|
|
|
+ this.k3Velocities[i].copy(p.velocity);
|
|
|
+ }
|
|
|
+ p.force.clear();
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ // K4
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+
|
|
|
+ var op = this.originalPositions[i];
|
|
|
+ var k3v = this.k3Velocities[i];
|
|
|
+ p.position.set(op.x + k3v.x * dt, op.y + k3v.y * dt)
|
|
|
+
|
|
|
+ var ov = this.originalVelocities[i];
|
|
|
+ var k3f = this.k3Forces[i];
|
|
|
+ p.velocity.set(ov.x + k3f.x * dt / p.mass, ov.y + k3f.y * dt / p.mass);
|
|
|
+ }
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ s.applyForces();
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+ if (!p.fixed) {
|
|
|
+ this.k4Forces[i].copy(p.force);
|
|
|
+ this.k4Velocities[i].copy(p.velocity);
|
|
|
+ }
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ // TOTAL
|
|
|
+
|
|
|
+ _.each(s.particles, function(p, i) {
|
|
|
+
|
|
|
+ p.age += dt;
|
|
|
+
|
|
|
+ if (!p.fixed) {
|
|
|
+
|
|
|
+ var op = this.originalPositions[i];
|
|
|
+ var k1v = this.k1Velocities[i];
|
|
|
+ var k2v = this.k2Velocities[i];
|
|
|
+ var k3v = this.k3Velocities[i];
|
|
|
+ var k4v = this.k4Velocities[i];
|
|
|
+
|
|
|
+ var x = op.x + dt / 6.0 * (k1v.x + 2.0 * k2v.x + 2.0 * k3v.x + k4v.x);
|
|
|
+ var y = op.y + dt / 6.0 * (k1v.y + 2.0 * k2v.y + 2.0 * k3v.y + k4v.y);
|
|
|
+
|
|
|
+ p.position.set(x, y);
|
|
|
+
|
|
|
+ var ov = this.originalVelocities[i];
|
|
|
+ var k1f = this.k1Forces[i];
|
|
|
+ var k2f = this.k2Forces[i];
|
|
|
+ var k3f = this.k3Forces[i];
|
|
|
+ var k4f = this.k4Forces[i];
|
|
|
+
|
|
|
+ x = ov.x + dt / (6.0 * p.mass) * (k1f.x + 2.0 * k2f.x + 2.0 * k3f.x + k4f.x);
|
|
|
+ y = ov.y + dt / (6.0 * p.mass) * (k1f.y + 2.0 * k2f.y + 2.0 * k3f.y + k4f.y);
|
|
|
+
|
|
|
+ p.velocity.set(x, y);
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ module.exports = Integrator;
|
|
|
+
|
|
|
+},{"./common":8,"./vector":12}],3:[function(require,module,exports){
|
|
|
+var _ = require('./common')
|
|
|
+, Vector = require('./vector')
|
|
|
+;
|
|
|
+
|
|
|
+ function Particle(mass) {
|
|
|
+
|
|
|
+ this.position = new Vector();
|
|
|
+ this.velocity = new Vector();
|
|
|
+ this.force = new Vector();
|
|
|
+ this.mass = mass;
|
|
|
+ this.fixed = false;
|
|
|
+ this.age = 0;
|
|
|
+ this.dead = false;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(Particle.prototype, {
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Get the distance between two particles.
|
|
|
+ */
|
|
|
+ distanceTo: function(p) {
|
|
|
+ return this.position.distanceTo(p.position);
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Make the particle fixed in 2D space.
|
|
|
+ */
|
|
|
+ makeFixed: function() {
|
|
|
+ this.fixed = true;
|
|
|
+ this.velocity.clear();
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Reset a particle.
|
|
|
+ */
|
|
|
+ reset: function() {
|
|
|
+
|
|
|
+ this.age = 0;
|
|
|
+ this.dead = false;
|
|
|
+ this.position.clear();
|
|
|
+ this.velocity.clear();
|
|
|
+ this.force.clear();
|
|
|
+ this.mass = 1.0;
|
|
|
+
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Returns a boolean describing whether the particle is in movement.
|
|
|
+ */
|
|
|
+ resting: function() {
|
|
|
+ return this.fixed || this.velocity.isZero() && this.force.isZero();
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ module.exports = Particle;
|
|
|
+
|
|
|
+},{"./common":8,"./vector":12}],4:[function(require,module,exports){
|
|
|
+var _ = require('./common')
|
|
|
+, Vector = require('./Vector')
|
|
|
+, Particle = require('./Particle')
|
|
|
+, Spring = require('./Spring')
|
|
|
+, Attraction = require('./Attraction')
|
|
|
+, Integrator = require('./Integrator')
|
|
|
+;
|
|
|
+
|
|
|
+ /**
|
|
|
+ * traer.js
|
|
|
+ * A particle-based physics engine ported from Jeff Traer's Processing
|
|
|
+ * library to JavaScript. This version is intended for use with the
|
|
|
+ * HTML5 canvas element. It is dependent on Three.js' Vector2 class,
|
|
|
+ * but can be overridden with any Vector2 class with the methods included.
|
|
|
+ *
|
|
|
+ * @author Jeffrey Traer Bernstein <jeff TA traer TOD cc> (original Java library)
|
|
|
+ * @author Adam Saponara <saponara TA gmail TOD com> (JavaScript port)
|
|
|
+ * @author Jono Brandel <http://jonobr1.com/> (requirified/optimization port)
|
|
|
+ * @author David Schoonover <http://less.ly> (Node/CommonJS/Browserify port)
|
|
|
+ *
|
|
|
+ * @version 0.3
|
|
|
+ * @date March 25, 2012
|
|
|
+ */
|
|
|
+
|
|
|
+ /**
|
|
|
+ * The whole kit and kaboodle.
|
|
|
+ *
|
|
|
+ * @class
|
|
|
+ */
|
|
|
+ function ParticleSystem() {
|
|
|
+
|
|
|
+ this.__equilibriumCriteria = { particles: true, springs: true, attractions: true };
|
|
|
+ this.__equilibrium = false; // are we at equilibrium?
|
|
|
+ this.__optimized = false;
|
|
|
+
|
|
|
+ this.particles = [];
|
|
|
+ this.springs = [];
|
|
|
+ this.attractions = [];
|
|
|
+ this.forces = [];
|
|
|
+ this.integrator = new Integrator(this);
|
|
|
+ this.hasDeadParticles = false;
|
|
|
+
|
|
|
+ var args = arguments.length;
|
|
|
+
|
|
|
+ if (args === 1) {
|
|
|
+ this.gravity = new Vector(0, arguments[0]);
|
|
|
+ this.drag = ParticleSystem.DEFAULT_DRAG;
|
|
|
+ } else if (args === 2) {
|
|
|
+ this.gravity = new Vector(0, arguments[0]);
|
|
|
+ this.drag = arguments[1];
|
|
|
+ } else if (args === 3) {
|
|
|
+ this.gravity = new Vector(arguments[0], arguments[1]);
|
|
|
+ this.drag = arguments[3];
|
|
|
+ } else {
|
|
|
+ this.gravity = new Vector(0, ParticleSystem.DEFAULT_GRAVITY);
|
|
|
+ this.drag = ParticleSystem.DEFAULT_DRAG;
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(ParticleSystem, {
|
|
|
+
|
|
|
+ DEFAULT_GRAVITY: 0,
|
|
|
+
|
|
|
+ DEFAULT_DRAG: 0.001,
|
|
|
+
|
|
|
+ Attraction: Attraction,
|
|
|
+
|
|
|
+ Integrator: Integrator,
|
|
|
+
|
|
|
+ Particle: Particle,
|
|
|
+
|
|
|
+ Spring: Spring,
|
|
|
+
|
|
|
+ Vector: Vector
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ _.extend(ParticleSystem.prototype, {
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Set whether to optimize the simulation. This enables the check of whether
|
|
|
+ * particles are moving.
|
|
|
+ */
|
|
|
+ optimize: function(b) {
|
|
|
+ this.__optimized = !!b;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Set the gravity of the ParticleSystem.
|
|
|
+ */
|
|
|
+ setGravity: function(x, y) {
|
|
|
+ this.gravity.set(x, y);
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Sets the criteria for equilibrium
|
|
|
+ */
|
|
|
+ setEquilibriumCriteria: function(particles, springs, attractions) {
|
|
|
+ this.__equilibriumCriteria.particles = !!particles;
|
|
|
+ this.__equilibriumCriteria.springs = !!springs;
|
|
|
+ this.__equilibriumCriteria.attractions = !!attractions;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Update the integrator
|
|
|
+ */
|
|
|
+ tick: function() {
|
|
|
+ this.integrator.step(arguments.length === 0 ? 1 : arguments[0]);
|
|
|
+ if (this.__optimized) {
|
|
|
+ this.__equilibrium = !this.needsUpdate();
|
|
|
+ }
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Checks all springs and attractions to see if the contained particles are
|
|
|
+ * inert / resting and returns a boolean.
|
|
|
+ */
|
|
|
+ needsUpdate: function() {
|
|
|
+ var i = 0;
|
|
|
+
|
|
|
+ if(this.__equilibriumCriteria.particles) {
|
|
|
+ for (i = 0, l = this.particles.length; i < l; i++) {
|
|
|
+ if (!this.particles[i].resting()) {
|
|
|
+ return true;
|
|
|
+ }
|
|
|
+ }
|
|
|
+ }
|
|
|
+
|
|
|
+ if(this.__equilibriumCriteria.springs) {
|
|
|
+ for (i = 0, l = this.springs.length; i < l; i++) {
|
|
|
+ if (!this.springs[i].resting()) {
|
|
|
+ return true;
|
|
|
+ }
|
|
|
+ }
|
|
|
+ }
|
|
|
+
|
|
|
+ if(this.__equilibriumCriteria.attractions) {
|
|
|
+ for (i = 0, l = this.attractions.length; i < l; i++) {
|
|
|
+ if (!this.attractions[i].resting()) {
|
|
|
+ return true;
|
|
|
+ }
|
|
|
+ }
|
|
|
+ }
|
|
|
+
|
|
|
+ return false;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Add a particle to the ParticleSystem.
|
|
|
+ */
|
|
|
+ addParticle: function(p) {
|
|
|
+
|
|
|
+ this.particles.push(p);
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Add a spring to the ParticleSystem.
|
|
|
+ */
|
|
|
+ addSpring: function(s) {
|
|
|
+
|
|
|
+ this.springs.push(s);
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Add an attraction to the ParticleSystem.
|
|
|
+ */
|
|
|
+ addAttraction: function(a) {
|
|
|
+
|
|
|
+ this.attractions.push(a);
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Makes and then adds Particle to ParticleSystem.
|
|
|
+ */
|
|
|
+ makeParticle: function(m, x, y) {
|
|
|
+
|
|
|
+ var mass = _.isNumber(m) ? m : 1.0;
|
|
|
+ var x = x || 0;
|
|
|
+ var y = y || 0;
|
|
|
+
|
|
|
+ var p = new Particle(mass);
|
|
|
+ p.position.set(x, y);
|
|
|
+ this.addParticle(p);
|
|
|
+ return p;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Makes and then adds Spring to ParticleSystem.
|
|
|
+ */
|
|
|
+ makeSpring: function(a, b, k, d, l) {
|
|
|
+
|
|
|
+ var s = new Spring(a, b, k, d, l);
|
|
|
+ this.addSpring(s);
|
|
|
+ return s;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Makes and then adds Attraction to ParticleSystem.
|
|
|
+ */
|
|
|
+ makeAttraction: function(a, b, k, d) {
|
|
|
+
|
|
|
+ var a = new Attraction(a, b, k, d);
|
|
|
+ this.addAttraction(a);
|
|
|
+ return a;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Wipe the ParticleSystem clean.
|
|
|
+ */
|
|
|
+ clear: function() {
|
|
|
+
|
|
|
+ this.particles.length = 0;
|
|
|
+ this.springs.length = 0;
|
|
|
+ this.attractions.length = 0;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Calculate and apply forces.
|
|
|
+ */
|
|
|
+ applyForces: function() {
|
|
|
+
|
|
|
+ if (!this.gravity.isZero()) {
|
|
|
+ _.each(this.particles, function(p) {
|
|
|
+ p.force.addSelf(this.gravity);
|
|
|
+ }, this);
|
|
|
+ }
|
|
|
+
|
|
|
+ var t = new Vector();
|
|
|
+
|
|
|
+ _.each(this.particles, function(p) {
|
|
|
+ t.set(p.velocity.x * -1 * this.drag, p.velocity.y * -1 * this.drag);
|
|
|
+ p.force.addSelf(t);
|
|
|
+ }, this);
|
|
|
+
|
|
|
+ _.each(this.springs, function(s) {
|
|
|
+ s.update();
|
|
|
+ });
|
|
|
+
|
|
|
+ _.each(this.attractions, function(a) {
|
|
|
+ a.update();
|
|
|
+ });
|
|
|
+
|
|
|
+ _.each(this.forces, function(f) {
|
|
|
+ f.update();
|
|
|
+ });
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Clear all particles in the system.
|
|
|
+ */
|
|
|
+ clearForces: function() {
|
|
|
+ _.each(this.particles, function(p) {
|
|
|
+ p.clear();
|
|
|
+ });
|
|
|
+ return this;
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ module.exports = ParticleSystem;
|
|
|
+
|
|
|
+},{"./Attraction":1,"./Integrator":2,"./Particle":3,"./Spring":6,"./Vector":7,"./common":8}],5:[function(require,module,exports){
|
|
|
+var _ = require('./common')
|
|
|
+, raf = require('./requestAnimationFrame')
|
|
|
+, ParticleSystem = require('./ParticleSystem')
|
|
|
+;
|
|
|
+
|
|
|
+ var updates = [];
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Extended singleton instance of ParticleSystem with convenience methods for
|
|
|
+ * Request Animation Frame.
|
|
|
+ * @class
|
|
|
+ */
|
|
|
+ function Physics() {
|
|
|
+
|
|
|
+ var _this = this;
|
|
|
+
|
|
|
+ this.playing = false;
|
|
|
+
|
|
|
+ ParticleSystem.apply(this, arguments);
|
|
|
+
|
|
|
+ this.animations = [];
|
|
|
+
|
|
|
+ this.equilibriumCallbacks = [];
|
|
|
+
|
|
|
+ update.call(this);
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(Physics, ParticleSystem, {
|
|
|
+
|
|
|
+ superclass: ParticleSystem
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ _.extend(Physics.prototype, ParticleSystem.prototype, {
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Play the animation loop. Doesn't affect whether in equilibrium or not.
|
|
|
+ */
|
|
|
+ play: function() {
|
|
|
+
|
|
|
+ if (this.playing) {
|
|
|
+ return this;
|
|
|
+ }
|
|
|
+
|
|
|
+ this.playing = true;
|
|
|
+ this.__equilibrium = false;
|
|
|
+ update.call(this);
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Pause the animation loop. Doesn't affect whether in equilibrium or not.
|
|
|
+ */
|
|
|
+ pause: function() {
|
|
|
+
|
|
|
+ this.playing = false;
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Toggle between playing and pausing the simulation.
|
|
|
+ */
|
|
|
+ toggle: function() {
|
|
|
+
|
|
|
+ if (this.playing) {
|
|
|
+ this.pause();
|
|
|
+ } else {
|
|
|
+ this.play();
|
|
|
+ }
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ onUpdate: function(func) {
|
|
|
+
|
|
|
+ if (_.indexOf(this.animations, func) >= 0 || !_.isFunction(func)) {
|
|
|
+ return this;
|
|
|
+ }
|
|
|
+
|
|
|
+ this.animations.push(func);
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ onEquilibrium: function(func) {
|
|
|
+
|
|
|
+ if (_.indexOf(this.equilibriumCallbacks, func) >= 0 || !_.isFunction(func)) {
|
|
|
+ return this;
|
|
|
+ }
|
|
|
+
|
|
|
+ this.equilibriumCallbacks.push(func);
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Call update after values in the system have changed and this will fire
|
|
|
+ * it's own Request Animation Frame to update until things have settled
|
|
|
+ * to equilibrium — at which point the system will stop updating.
|
|
|
+ */
|
|
|
+ update: function() {
|
|
|
+
|
|
|
+ if (!this.__equilibrium) {
|
|
|
+ return this;
|
|
|
+ }
|
|
|
+
|
|
|
+ this.__equilibrium = false;
|
|
|
+ if (this.playing) {
|
|
|
+ update.call(this);
|
|
|
+ }
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ function update() {
|
|
|
+
|
|
|
+ var _this = this;
|
|
|
+
|
|
|
+ this.tick();
|
|
|
+
|
|
|
+ _.each(this.animations, function(a) {
|
|
|
+ a();
|
|
|
+ });
|
|
|
+
|
|
|
+ if ((this.__optimized && !this.__equilibrium || !this.__optimized) && this.playing) {
|
|
|
+
|
|
|
+ raf(function() {
|
|
|
+ update.call(_this);
|
|
|
+ });
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ if (this.__optimized && this.__equilibrium){
|
|
|
+
|
|
|
+ _.each(this.equilibriumCallbacks, function(a) {
|
|
|
+ a();
|
|
|
+ });
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ module.exports = Physics;
|
|
|
+
|
|
|
+
|
|
|
+},{"./ParticleSystem":4,"./common":8,"./requestAnimationFrame":11}],6:[function(require,module,exports){
|
|
|
+var _ = require('./common')
|
|
|
+, Vector = require('./vector')
|
|
|
+;
|
|
|
+
|
|
|
+ function Spring(a, b, k, d, l) {
|
|
|
+
|
|
|
+ this.constant = k;
|
|
|
+ this.damping = d;
|
|
|
+ this.length = l;
|
|
|
+ this.a = a;
|
|
|
+ this.b = b;
|
|
|
+ this.on = true;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(Spring.prototype, {
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Returns the distance between particle a and particle b
|
|
|
+ * in 2D space.
|
|
|
+ */
|
|
|
+ currentLength: function() {
|
|
|
+ return this.a.position.distanceTo(this.b.position);
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Update spring logic.
|
|
|
+ */
|
|
|
+ update: function() {
|
|
|
+
|
|
|
+ var a = this.a;
|
|
|
+ var b = this.b;
|
|
|
+ if (!(this.on && (!a.fixed || !b.fixed))) return this;
|
|
|
+
|
|
|
+ var a2b = new Vector().sub(a.position, b.position);
|
|
|
+ var d = a2b.length();
|
|
|
+
|
|
|
+ if (d === 0) {
|
|
|
+ a2b.clear();
|
|
|
+ } else {
|
|
|
+ a2b.divideScalar(d); // Essentially normalize
|
|
|
+ }
|
|
|
+
|
|
|
+ var fspring = -1 * (d - this.length) * this.constant;
|
|
|
+
|
|
|
+ var va2b = new Vector().sub(a.velocity, b.velocity);
|
|
|
+
|
|
|
+ var fdamping = -1 * this.damping * va2b.dot(a2b);
|
|
|
+
|
|
|
+ var fr = fspring + fdamping;
|
|
|
+
|
|
|
+ a2b.multiplyScalar(fr);
|
|
|
+
|
|
|
+ if (!a.fixed) {
|
|
|
+ a.force.addSelf(a2b);
|
|
|
+ }
|
|
|
+ if (!b.fixed) {
|
|
|
+ b.force.subSelf(a2b);
|
|
|
+ }
|
|
|
+
|
|
|
+ return this;
|
|
|
+
|
|
|
+ },
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Returns a boolean describing whether the spring is resting or not.
|
|
|
+ * Convenient for knowing whether or not the spring needs another update
|
|
|
+ * tick.
|
|
|
+ */
|
|
|
+ resting: function() {
|
|
|
+
|
|
|
+ var a = this.a;
|
|
|
+ var b = this.b;
|
|
|
+ var l = this.length;
|
|
|
+
|
|
|
+ return !this.on || (a.fixed && b.fixed)
|
|
|
+ || (a.fixed && (l === 0 ? b.position.equals(a.position) : b.position.distanceTo(a.position) <= l) && b.resting())
|
|
|
+ || (b.fixed && (l === 0 ? a.position.equals(b.position) : a.position.distanceTo(b.position) <= l) && a.resting());
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ module.exports = Spring;
|
|
|
+
|
|
|
+
|
|
|
+},{"./common":8,"./vector":12}],7:[function(require,module,exports){
|
|
|
+/**
|
|
|
+ * @author mr.doob / http://mrdoob.com/
|
|
|
+ * @author philogb / http://blog.thejit.org/
|
|
|
+ * @author egraether / http://egraether.com/
|
|
|
+ * @author zz85 / http://www.lab4games.net/zz85/blog
|
|
|
+ * @author jonobr1 / http://jonobr1.com/
|
|
|
+ */
|
|
|
+
|
|
|
+var _ = require('./common');
|
|
|
+
|
|
|
+ /**
|
|
|
+ * A two dimensional vector.
|
|
|
+ */
|
|
|
+ function Vector(x, y) {
|
|
|
+
|
|
|
+ this.x = x || 0;
|
|
|
+ this.y = y || 0;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ _.extend(Vector.prototype, {
|
|
|
+
|
|
|
+ set: function(x, y) {
|
|
|
+ this.x = x;
|
|
|
+ this.y = y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ copy: function(v) {
|
|
|
+ this.x = v.x;
|
|
|
+ this.y = v.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ clear: function() {
|
|
|
+ this.x = 0;
|
|
|
+ this.y = 0;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ clone: function() {
|
|
|
+ return new Vector(this.x, this.y);
|
|
|
+ },
|
|
|
+
|
|
|
+ add: function(v1, v2) {
|
|
|
+ this.x = v1.x + v2.x;
|
|
|
+ this.y = v1.y + v2.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ addSelf: function(v) {
|
|
|
+ this.x += v.x;
|
|
|
+ this.y += v.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ sub: function(v1, v2) {
|
|
|
+ this.x = v1.x - v2.x;
|
|
|
+ this.y = v1.y - v2.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ subSelf: function(v) {
|
|
|
+ this.x -= v.x;
|
|
|
+ this.y -= v.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ multiplySelf: function(v) {
|
|
|
+ this.x *= v.x;
|
|
|
+ this.y *= v.y;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ multiplyScalar: function(s) {
|
|
|
+ this.x *= s;
|
|
|
+ this.y *= s;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ multiplyScalarXY: function(sx,sy) {
|
|
|
+ this.x *= sx;
|
|
|
+ this.y *= sy;
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ divideScalar: function(s) {
|
|
|
+ if (s) {
|
|
|
+ this.x /= s;
|
|
|
+ this.y /= s;
|
|
|
+ } else {
|
|
|
+ this.set(0, 0);
|
|
|
+ }
|
|
|
+ return this;
|
|
|
+ },
|
|
|
+
|
|
|
+ negate: function() {
|
|
|
+ return this.multiplyScalar(-1);
|
|
|
+ },
|
|
|
+
|
|
|
+ dot: function(v) {
|
|
|
+ return this.x * v.x + this.y * v.y;
|
|
|
+ },
|
|
|
+
|
|
|
+ lengthSquared: function() {
|
|
|
+ return this.x * this.x + this.y * this.y;
|
|
|
+ },
|
|
|
+
|
|
|
+ length: function() {
|
|
|
+ return Math.sqrt(this.lengthSquared());
|
|
|
+ },
|
|
|
+
|
|
|
+ normalize: function() {
|
|
|
+ return this.divideScalar(this.length());
|
|
|
+ },
|
|
|
+
|
|
|
+ distanceTo: function(v) {
|
|
|
+ return Math.sqrt(this.distanceToSquared(v));
|
|
|
+ },
|
|
|
+
|
|
|
+ distanceToSquared: function(v) {
|
|
|
+ var dx = this.x - v.x, dy = this.y - v.y;
|
|
|
+ return dx * dx + dy * dy;
|
|
|
+ },
|
|
|
+
|
|
|
+ setLength: function(l) {
|
|
|
+ return this.normalize().multiplyScalar(l);
|
|
|
+ },
|
|
|
+
|
|
|
+ equals: function(v) {
|
|
|
+ return (this.distanceTo(v) < 0.0001 /* almost same position */);
|
|
|
+ },
|
|
|
+
|
|
|
+ lerp: function(v, t) {
|
|
|
+ var x = (v.x - this.x) * t + this.x;
|
|
|
+ var y = (v.y - this.y) * t + this.y;
|
|
|
+ return this.set(x, y);
|
|
|
+ },
|
|
|
+
|
|
|
+ isZero: function() {
|
|
|
+ return (this.length() < 0.0001 /* almost zero */ );
|
|
|
+ }
|
|
|
+
|
|
|
+ });
|
|
|
+
|
|
|
+ module.exports = Vector;
|
|
|
+
|
|
|
+},{"./common":8}],8:[function(require,module,exports){
|
|
|
+
|
|
|
+ /**
|
|
|
+ * Pulled only what's needed from:
|
|
|
+ *
|
|
|
+ * Underscore.js 1.3.3
|
|
|
+ * (c) 2009-2012 Jeremy Ashkenas, DocumentCloud Inc.
|
|
|
+ * http://documentcloud.github.com/underscore
|
|
|
+ */
|
|
|
+
|
|
|
+ var breaker = {};
|
|
|
+ var ArrayProto = Array.prototype;
|
|
|
+ var ObjProto = Object.prototype;
|
|
|
+ var hasOwnProperty = ObjProto.hasOwnProperty;
|
|
|
+ var slice = ArrayProto.slice;
|
|
|
+ var nativeForEach = ArrayProto.forEach;
|
|
|
+ var nativeIndexOf = ArrayProto.indexOf;
|
|
|
+ var toString = ObjProto.toString;
|
|
|
+
|
|
|
+ var has = function(obj, key) {
|
|
|
+ return hasOwnProperty.call(obj, key);
|
|
|
+ };
|
|
|
+
|
|
|
+ var each = function(obj, iterator, context) {
|
|
|
+
|
|
|
+ if (obj == null) return;
|
|
|
+ if (nativeForEach && obj.forEach === nativeForEach) {
|
|
|
+ obj.forEach(iterator, context);
|
|
|
+ } else if (obj.length === +obj.length) {
|
|
|
+ for (var i = 0, l = obj.length; i < l; i++) {
|
|
|
+ if (i in obj && iterator.call(context, obj[i], i, obj) === breaker) return;
|
|
|
+ }
|
|
|
+ } else {
|
|
|
+ for (var key in obj) {
|
|
|
+ if (_.has(obj, key)) {
|
|
|
+ if (iterator.call(context, obj[key], key, obj) === breaker) return;
|
|
|
+ }
|
|
|
+ }
|
|
|
+ }
|
|
|
+
|
|
|
+ };
|
|
|
+
|
|
|
+ var identity = function(value) {
|
|
|
+ return value;
|
|
|
+ };
|
|
|
+
|
|
|
+ var sortedIndex = function(array, obj, iterator) {
|
|
|
+ iterator || (iterator = identity);
|
|
|
+ var low = 0, high = array.length;
|
|
|
+ while (low < high) {
|
|
|
+ var mid = (low + high) >> 1;
|
|
|
+ iterator(array[mid]) < iterator(obj) ? low = mid + 1 : high = mid;
|
|
|
+ }
|
|
|
+ return low;
|
|
|
+ };
|
|
|
+
|
|
|
+ module.exports = {
|
|
|
+
|
|
|
+ has: has,
|
|
|
+
|
|
|
+ each: each,
|
|
|
+
|
|
|
+ extend: function(obj) {
|
|
|
+ each(slice.call(arguments, 1), function(source) {
|
|
|
+ for (var prop in source) {
|
|
|
+ obj[prop] = source[prop];
|
|
|
+ }
|
|
|
+ });
|
|
|
+ return obj;
|
|
|
+ },
|
|
|
+
|
|
|
+ indexOf: function(array, item, isSorted) {
|
|
|
+ if (array == null) return -1;
|
|
|
+ var i, l;
|
|
|
+ if (isSorted) {
|
|
|
+ i = sortedIndex(array, item);
|
|
|
+ return array[i] === item ? i : -1;
|
|
|
+ }
|
|
|
+ if (nativeIndexOf && array.indexOf === nativeIndexOf) return array.indexOf(item);
|
|
|
+ for (i = 0, l = array.length; i < l; i++) if (i in array && array[i] === item) return i;
|
|
|
+ return -1;
|
|
|
+ },
|
|
|
+
|
|
|
+ sortedIndex: sortedIndex,
|
|
|
+
|
|
|
+ identity: identity,
|
|
|
+
|
|
|
+ isNumber: function(obj) {
|
|
|
+ return toString.call(obj) == '[object Number]';
|
|
|
+ },
|
|
|
+
|
|
|
+ isFunction: function(obj) {
|
|
|
+ return toString.call(obj) == '[object Function]' || typeof obj == 'function';
|
|
|
+ },
|
|
|
+
|
|
|
+ isUndefined: function(obj) {
|
|
|
+ return obj === void 0;
|
|
|
+ },
|
|
|
+
|
|
|
+ isNull: function(obj) {
|
|
|
+ return obj === null;
|
|
|
+ }
|
|
|
+
|
|
|
+ };
|
|
|
+
|
|
|
+
|
|
|
+},{}],"H99CHA":[function(require,module,exports){
|
|
|
+var root = (function(){ return this; })()
|
|
|
+, previousShortcut = root.Physics
|
|
|
+;
|
|
|
+
|
|
|
+module.exports = root.Physics = require('./Physics');
|
|
|
+
|
|
|
+},{"./Physics":5}],"physics":[function(require,module,exports){
|
|
|
+module.exports=require('H99CHA');
|
|
|
+},{}],11:[function(require,module,exports){
|
|
|
+ /*
|
|
|
+ * Requirified version of Paul Irish's request animation frame.
|
|
|
+ * http://paulirish.com/2011/requestanimationframe-for-smart-animating/
|
|
|
+ */
|
|
|
+module.exports =
|
|
|
+ window.requestAnimationFrame ||
|
|
|
+ window.webkitRequestAnimationFrame ||
|
|
|
+ window.mozRequestAnimationFrame ||
|
|
|
+ window.oRequestAnimationFrame ||
|
|
|
+ window.msRequestAnimationFrame ||
|
|
|
+ function (callback) {
|
|
|
+ window.setTimeout(callback, 1000 / 60);
|
|
|
+ };
|
|
|
+
|
|
|
+},{}],12:[function(require,module,exports){
|
|
|
+module.exports=require(7)
|
|
|
+},{"./common":8}]},{},["H99CHA"])
|
