|
@@ -1,1153 +1,38 @@
|
|
|
-/**
|
|
|
- * Physics
|
|
|
- * A requirified port of Traer Physics from Processing to JavaScript.
|
|
|
- * Copyright (C) 2012 jonobr1
|
|
|
- *
|
|
|
- * This program is free software: you can redistribute it and/or modify
|
|
|
- * it under the terms of the GNU General Public License as published by
|
|
|
- * the Free Software Foundation, either version 3 of the License, or
|
|
|
- * (at your option) any later version.
|
|
|
- *
|
|
|
- * This program is distributed in the hope that it will be useful,
|
|
|
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
|
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
|
- * GNU General Public License for more details.
|
|
|
- *
|
|
|
- * You should have received a copy of the GNU General Public License
|
|
|
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
|
|
|
- */
|
|
|
-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;
|
|
|
-
|
|
|
- }
|
|
|
-
|
|
|
- _.extend(Attraction.prototype, {
|
|
|
-
|
|
|
- update: function() {
|
|
|
-
|
|
|
- var a = this.a, b = this.b;
|
|
|
- if (!this.on || (a.fixed && b.fixed)) {
|
|
|
- return;
|
|
|
- }
|
|
|
-
|
|
|
- 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);
|
|
|
- }
|
|
|
-
|
|
|
- if (!a.fixed) {
|
|
|
- a.force.subSelf(a2b);
|
|
|
- }
|
|
|
- if (!b.fixed) {
|
|
|
- b.force.addSelf(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.
|
|
|
- *
|
|
|
- * TODO: Test
|
|
|
- */
|
|
|
- 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')
|
|
|
-;
|
|
|
-
|
|
|
- /**
|
|
|
- * 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"])
|
|
|
+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;}
|
|
|
+_.extend(Attraction.prototype,{update:function(){var a=this.a,b=this.b;if(!this.on||(a.fixed&&b.fixed)){return;}
|
|
|
+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);}
|
|
|
+if(!a.fixed){a.force.subSelf(a2b);}
|
|
|
+if(!b.fixed){b.force.addSelf(a2b);}
|
|
|
+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=[];}
|
|
|
+_.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);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);_.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);_.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);_.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);_.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,{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;}}
|
|
|
+_.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();}
|
|
|
+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;}}}
|
|
|
+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;},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);}
|
|
|
+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);}
|
|
|
+_.extend(Physics,ParticleSystem,{superclass:ParticleSystem});_.extend(Physics.prototype,ParticleSystem.prototype,{play:function(){if(this.playing){return this;}
|
|
|
+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();}
|
|
|
+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;},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,{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);}
|
|
|
+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;},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;}
|
|
|
+_.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);},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;}
|
|
|
+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){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"])
|