zero total momentum; options tool

config.js

@@ -1,3 +1,4 @@
+// DISPLAY
 export const DISPLAY_OBJECTS_INFO = false;
 export const DISPLAY_CURSOR_INFO = false;
 export const DISPLAY_CANVAS_SIZE = false;
@@ -6,23 +7,23 @@ export const DISPLAY_CURRENT_MODE = false;
 export const DISPLAY_VELOCITY_VECTORS = true;
 export const DISPLAY_ACCELERATION_VECTORS = true;
 
-export const MASS_CREATION_RATE = 1E1;
+// VELOCITY
-export const POINTER_HISTORY_SIZE = 15;
-
 export const VELOCITY_VECTOR_SCALE = 5E0;
 export const VELOCITY_VECTOR_COLOR = 'rgb(150, 150, 150)'; // optionally set to 'object color'
 export const VELOCITY_VECTOR_WIDTH = 1.5;
 export const VELOCITY_VECTOR_ARROWHEAD = true;
 
+// ACCELERATION
 export const ACCELERATION_VECTOR_SCALE = 5E0;
-export const ACCELERATION_VECTOR_COLOR = 'rgb(0, 255, 0)'; // optionally set to 'object color'
+export const ACCELERATION_VECTOR_COLOR = 'rgb(0, 128, 0)'; // optionally set to 'object color'
-// export const ACCELERATION_VECTOR_COLOR = 'object color';
 export const ACCELERATION_VECTOR_WIDTH = 1.5;
 export const ACCELERATION_VECTOR_ARROWHEAD = true;
 
+// SCALING FACTORS
+export const MASS_CREATION_RATE = 1E1;
+export const POINTER_HISTORY_SIZE = 15;
 export const MOTION_TIME_SCALE = 1E-4;
 export const PAN_VELOCITY_SCALE_FACTOR = 1E-3;
-
 export const ARROWHEAD_LENGTH = 7;
 export const ARROWHEAD_WIDTH = 5;
 export const OFFSCREEN_OBJECT_LINE_SCALE = 7;
@@ -34,7 +35,13 @@ export const SCALE_POWER_MAX = 8;
 export const SCALE_POWER_MIN = -8; 
 export const GRAVITATIONAL_CONSTANT = 1E5;
 
+// CSS CLASS NAMES
 export const DRAGGABLE_ELEMENT_CLASSNAME = 'lhg-draggable-element';
 
+// MODES
 export const MODE_MASS_GENERATION = 'mass-gen';
 export const MODE_PAN_VIEW = 'pan-view';
+
+// OPTIONS
+export const PAUSE_DURING_CREATION = true;
+export const PAUSE_DURING_SELECTION = true;

index.html

@@ -8,7 +8,7 @@ body {
   background-color: #000;
   color: #8f8;
   font-family: monospace;
-  font-size: 16pt;
+  font-size: 14pt;
   overflow: hidden;
   user-select: none;
   -webkit-user-select: none;

object.js

@@ -8,7 +8,6 @@ export class MassObject {
   color = {r: undefined, g: undefined, b: undefined};
   created = undefined;
   forces = []; // [{x, y}]
-  active = false;
 
   constructor(x, y, index) {
     this.index = index;

objects.js

@@ -10,24 +10,44 @@ export class Objects {
   objects = [];
   creatingObject = undefined;
   selectedObject = undefined;
+  paused = false;
 
   constructor(sim) {
     this.sim = sim;
   }
 
+  pause() {
+    if (this.sim.playing) {
+      this.sim.playing = false;
+      this.paused = true;
+    }
+  }
+
+  resume() {
+    if (this.paused) {
+      this.sim.playing = true;
+      this.paused = false;
+    }
+  }
+
   // Create an object with mass that grows as pointer is held down
   createObject(x, y) {
     const idx = this.objects.length;
     const obj = new MassObject(x, y, idx);
     this.creatingObject = idx;
     this.objects.push(obj);
+    // Pause the simulation during mass creation; this avoids some complex local dynamics
+    // TODO: Make this optional (toolbar item to enable)
+    if (this.sim.getOption('pauseDuring.creation')) {
+      this.pause();
+    }
   }
 
   doneCreatingObject() {
     if (this.creatingObject !== undefined) {
       const obj = this.objects[this.creatingObject];
-      obj.active = true;
       this.creatingObject = undefined;
+      this.resume();
     }
   }
 
@@ -37,10 +57,14 @@ export class Objects {
 
   selectObject(i) {
     this.selectedObject = i;
+    if (this.sim.getOption('pauseDuring.selection')) {
+      this.pause();
+    }
   }
 
   deselect() {
     this.selectedObject = undefined;
+    this.resume();
   }
 
   getSelectedOrCreating() {
@@ -123,7 +147,6 @@ export class Objects {
       const A = this.objects[i];
       for (let j = i + 1; j < this.objects.length; j++) {
         const B = this.objects[j];
-        if (!A.active || !B.active) continue;
         const dx = (B.position.x - A.position.x);
         const dy = (B.position.y - A.position.y);
         const dSquared = dx ** 2 + dy ** 2;
@@ -135,6 +158,12 @@ export class Objects {
         B.forces.push({ x: -Fx, y: -Fy });
       }
     }
+    // Also compute acceleration
+    for (let i = 0; i < this.objects.length; i++) {
+      const obj = this.objects[i];
+      obj.acceleration = obj.getAcceleration();
+    }
+
   }
 
   computeFrame(elapsedTime) {
@@ -151,10 +180,11 @@ export class Objects {
     this.computeForces();
 
     if (this.sim.playing) {
-      // Generate predicted positions (Velocity verlet method)
+      // Predict positions (Velocity verlet method)
       for (let i = 0; i < this.objects.length; i++) {
         const obj = this.objects[i];
-        obj.currentAcceleration = obj.getAcceleration();
+        obj.currentAcceleration = {...obj.acceleration};
+
         obj.position.x += elapsedTime *
             (obj.velocity.x + 1/2 * obj.currentAcceleration.x * elapsedTime);
         obj.position.y += elapsedTime *
@@ -164,10 +194,10 @@ export class Objects {
       // Recompute forces
       this.computeForces();
 
-      // Generated predicted velocities
+      // Predict velocities
       for (let i = 0; i < this.objects.length; i++) {
         const obj = this.objects[i];
-        const acceleration = obj.getAcceleration();
+        const acceleration = {...obj.acceleration};
         obj.acceleration = {
           x: (obj.currentAcceleration.x + acceleration.x) / 2,
           y: (obj.currentAcceleration.y + acceleration.y) / 2,
@@ -175,11 +205,8 @@ export class Objects {
         obj.velocity.x += obj.acceleration.x * elapsedTime;
         obj.velocity.y += obj.acceleration.y * elapsedTime;
       }
-    } else {
+      // TODO: Collisions
-      for (let i = 0; i < this.objects.length; i++) {
+
-        const obj = this.objects[i];
-        obj.acceleration = obj.getAcceleration();
-      }
     }
 
     // Display objects info

simulator.js

@@ -6,6 +6,7 @@ import { Toolbar } from './toolbar.js';
 import { PlayPause } from './tool/play-pause.js';
 import { Zoom } from './tool/zoom.js';
 import { ModeSwitch } from './tool/modes.js';
+import { Options } from './tool/options.js';
 import { 
   SCALE_POWER_MAX, 
   SCALE_POWER_MIN,
@@ -25,6 +26,7 @@ export class Sim {
   objects = undefined;
 
   isCurrentMode = () => false;
+  getOption = () => undefined;
 
   init(divId) {
     this.divId = divId;
@@ -41,6 +43,7 @@ export class Sim {
     this.toolbar.addTool(new Zoom(this.toolbar));
     this.toolbar.addTool(new PlayPause(this.toolbar));
     this.toolbar.addTool(new ModeSwitch(this.toolbar));
+    this.toolbar.addTool(new Options(this.toolbar));
 
     // Initiate main loop
     this.time = document.timeline.currentTime;

tool/options.js

@@ -0,0 +1,75 @@
+// Options picker
+import { Tool } from '../tool.js';
+import {
+  MODE_PAN_VIEW,
+  PAUSE_DURING_CREATION,
+  PAUSE_DURING_SELECTION,
+} from '../config.js';
+
+export class Options extends Tool {
+  options = [{
+    type: 'group', name: 'pauseDuring', title: 'Pause During',
+    items: [
+      { type: 'boolean', name: 'creation', title: 'Creation', default: PAUSE_DURING_CREATION },
+      { type: 'boolean', name: 'selection', title: 'Selection', default: PAUSE_DURING_SELECTION },
+    ]
+  }];
+
+  values = {};
+
+  visitItem(item, path) {
+    path = [path, item.name].filter(x => !!x).join('.');
+    switch (item.type) {
+      case 'group': {
+        const group = document.createElement('div');
+        const heading = document.createElement('h3');
+        heading.innerHTML = item.title;
+        group.appendChild(heading);
+        for (const next of item.items) {
+          const child = this.visitItem(next, path);
+          group.appendChild(child);
+        }
+        return group;
+      }
+      case 'boolean': {
+        const button = document.createElement('button');
+        button.innerHTML = `<h4>${item.title}</h4>`;
+        this.setOption(path, item.default);
+        button.style.opacity = this.values[path] ? '100%' : '50%';
+        button.addEventListener('click', (e) => {
+            this.setOption(path, !this.getOption(path));
+            button.style.opacity = this.values[path] ? '100%' : '50%';
+        });
+        return button;
+        break;
+      }
+      default:
+        throw new Error('unknown option type');
+    }
+  }
+
+  constructor(toolbar) {
+    super(toolbar);
+    const heading = document.createElement('h2');
+    heading.innerHTML = 'Options';
+    this.div.appendChild(heading);
+    for (const item of this.options) {
+      const child = this.visitItem(item);
+      this.div.appendChild(child);
+    }
+
+    // Global methods to get/set current option values
+    this.sim.getOption = (path) => this.getOption(path);
+    this.sim.setOption = (path, value) => this.setOption(path, value);
+  }
+
+  getOption(path) {
+    const val = this.values[path];
+    return val;
+  }
+
+  setOption(path, value) {
+    this.values[path] = value;
+    // TODO Update button opacity in case this is called from elsewhere
+  }
+}

tool/play-pause.js

@@ -10,8 +10,8 @@ export class PlayPause extends Tool {
     const pauseButton = document.createElement('button');
     const playButton = document.createElement('button');
 
-    this.div.appendChild(pauseButton);
     this.div.appendChild(playButton);
+    this.div.appendChild(pauseButton);
 
     pauseButton.innerHTML = this.pauseHTML;
     playButton.innerHTML = this.playHTML;

tool/zoom.js

@@ -11,17 +11,22 @@ export class Zoom extends Tool {
     const zoomOut = document.createElement('button');
     const zoomIn = document.createElement('button');
     const zoomAll = document.createElement('button');
+    const zeroNetMomentum = document.createElement('button');
 
     this.div.appendChild(zoomOut);
     this.div.appendChild(zoomIn);
     this.div.appendChild(document.createElement('br'));
     this.div.appendChild(zoomAll);
+    this.div.appendChild(document.createElement('br'));
+    this.div.appendChild(zeroNetMomentum);
 
     zoomAll.classList.add('wide');
+    zeroNetMomentum.classList.add('wide');
 
     zoomOut.innerHTML = '<h2>Zoom<br>Out</h2>';
     zoomIn.innerHTML = '<h2>Zoom<br>In</h2>';
     zoomAll.innerHTML = '<h2>Zoom to Fit</h2>';
+    zeroNetMomentum.innerHTML = '<h2>Zero Net Momentum</h2>';
 
     zoomOut.addEventListener('click', (e) => {
       // Aim at center of view
@@ -55,5 +60,32 @@ export class Zoom extends Tool {
         }
       }
     });
+
+    zeroNetMomentum.addEventListener('click', (e) => {
+      const { objects } = this.sim.objects;
+
+      // Find total momentum
+      let totalMomentum = objects.reduce((total, obj) => {
+        const px = obj.mass * obj.velocity.x;
+        const py = obj.mass * obj.velocity.y;
+        return {
+          x: total.x + px,
+          y: total.y + py,
+        };
+      }, {x: 0, y: 0});
+
+      // Find average momentum
+      let averageMomentum = {
+        x: totalMomentum.x / objects.length,
+        y: totalMomentum.y / objects.length,
+      };
+
+      // Subtract average from each
+      for (let i = 0; i < objects.length; i++) {
+        const obj = objects[i];
+        obj.velocity.x -= averageMomentum.x / obj.mass;
+        obj.velocity.y -= averageMomentum.y / obj.mass;
+      }
+    });
   }
 }