objects reducer, and some angular momentum calculations

display.js

@@ -72,7 +72,7 @@ export class Display {
   }
 
   drawObjects() {
-    this.sim.objects.forEachObject(obj => obj.drawObject(this.sim), null);
+    this.sim.objects.forEachObject(obj => obj.drawObject(this.sim), {alive: null});
   }
 
   drawArrow(startX, startY, endX, endY, {style, width, arrowhead, arrowheadLength, fill, ifShort}) {

objects.js

@@ -86,25 +86,25 @@ export class Objects {
   }
 
   get boundingBox() {
-    const box = {
+    const box = this.reduce((acc, obj) => {
+      if (acc.start.x === undefined) {
+        acc.start = {...obj.position};
+        acc.end = {...obj.position};
+      } else {
+        if (obj.position.x < acc.start.x) acc.start.x = obj.position.x;
+        if (obj.position.x > acc.end.x) acc.end.x = obj.position.x;
+        if (obj.position.y < acc.start.y) acc.start.y = obj.position.y;
+        if (obj.position.y > acc.end.y) acc.end.y = obj.position.y;
+      }
+    }, {
       start: {x: undefined, y: undefined}, 
       end: {x: undefined, y: undefined},
-    };
-    this.forEachObject(obj => {
-      if (box.start.x === undefined) {
-        box.start = {...obj.position};
-        box.end = {...obj.position};
-      } else {
-        if (obj.position.x < box.start.x) box.start.x = obj.position.x;
-        if (obj.position.x > box.end.x) box.end.x = obj.position.x;
-        if (obj.position.y < box.start.y) box.start.y = obj.position.y;
-        if (obj.position.y > box.end.y) box.end.y = obj.position.y;
-      }
     });
-    box.start.x -= ZOOM_TO_FIT_PADDING;
+
-    box.start.y -= ZOOM_TO_FIT_PADDING;
+    box.start.x = (box.start.x ?? 0) - ZOOM_TO_FIT_PADDING;
-    box.end.x += ZOOM_TO_FIT_PADDING;
+    box.start.y = (box.start.y ?? 0) - ZOOM_TO_FIT_PADDING;
-    box.end.y += ZOOM_TO_FIT_PADDING;
+    box.end.x = (box.end.x ?? 0) + ZOOM_TO_FIT_PADDING;
+    box.end.y = (box.end.y ?? 0) + ZOOM_TO_FIT_PADDING;
     return box;
   }
 
@@ -155,9 +155,9 @@ export class Objects {
   }
 
   // cb: (obj, idx) => {}
-  // TODO: Reducer
+  forEachObject(cb, {alive, startWith} = {}) {
-  forEachObject(cb, alive = true, startWith = 0) {
+    if (alive === undefined) alive = true;
-    for (let i = startWith; i < this.objects.length; i++) {
+    for (let i = startWith ?? 0; i < this.objects.length; i++) {
       const obj = this.objects[i];
       if (alive === null || alive == obj.alive) {
         const ret = cb(obj, i);
@@ -166,6 +166,19 @@ export class Objects {
     }
   }
 
+  // cb: (acc, obj, idx) => {}
+  reduce(cb, initial, opts) {
+    let acc = initial;
+    console.log('reduce, initial', acc);
+    this.forEachObject((obj, idx) => {
+      const ret = cb(acc, obj, idx);
+      if (ret !== undefined) {
+        acc = ret;
+      }
+    }, opts);
+    return acc;
+  }
+
   computeForces() {
     const gravity = this.sim.getOption('param.gravity');
     if (this.objects.length < 2) return;
@@ -183,7 +196,7 @@ export class Objects {
         const Fy = F * dy / d;
         A.forces.push({ x: Fx, y: Fy });
         B.forces.push({ x: -Fx, y: -Fy });
-      }, true, i + 1);
+      }, {alive: true, startWith: i + 1});
     });
     // Also compute acceleration
     this.forEachObject(obj => {
@@ -262,7 +275,7 @@ export class Objects {
               T.alive = false;
               T.forces = [];
             }
-          }, true, i + 1);
+          }, {alive: true, startWith: i + 1});
         });
       }
       

tool/play-pause.js

@@ -92,7 +92,7 @@ export class PlayPause extends Tool {
       // Obliterate object histories
       this.sim.objects.forEachObject(obj => {
         obj.history = [];
-      }, null);
+      }, {alive: null});
     });
   }
 }

tool/zoom.js

@@ -90,31 +90,70 @@ export class Zoom extends Tool {
     });
 
     zeroVelocity.addEventListener('click', () => {
+      // TODO: Zero net angular momentum
+      // Determine center of mass
+      const { totalMass, count, totalMassLocation } = 
+        this.sim.objects.reduce((acc, obj) => ({
+          count: acc.count + 1,
+          totalMass: acc.totalMass + obj.mass,
+          totalMassLocation: {
+            x: acc.totalMassLocation.x + obj.position.x * obj.mass,
+            y: acc.totalMassLocation.y + obj.position.y * obj.mass,
+          },
+        }), {
+          totalMassLocation: {x: 0, y: 0},
+          totalMass: 0,
+          count: 0,
+        });
+
+      if (!count) return;
+
+      const centerOfMass = {
+        x: totalMassLocation.x / totalMass,
+        y: totalMassLocation.y / totalMass,
+      };
+
+      console.log({totalMass, count, totalMassLocation, centerOfMass});
+
+      // Determine total angular momentum
+      const netAngularMomentum = this.sim.objects.reduce((acc, obj, idx) => {
+        // Angular momentum for each object is m * s / d
+        // where d is the distance of the object from the global center of mass
+        // and s is the magnitude of the cross product of v and r
+        const r = {
+          x: obj.position.x - centerOfMass.x,
+          y: obj.position.y - centerOfMass.y,
+        };
+        const v = obj.velocity;
+        const s = v.x * r.y - v.y * r.x;
+        const d = Math.sqrt(r.x ** 2 + r.y ** 2);
+        console.log(`obj ${idx} s`, s, 'd', d);
+        return acc + obj.mass * s / d;
+      }, 0);
+
+      console.log('net angular momentum', netAngularMomentum);
+      const netAngularVelocity = netAngularMomentum / totalMass;
+      console.log('net angular velocity', netAngularVelocity);
+
+      // TODO: Apply rotation...
+
       // Determine average momentum
-      const netMomentum = {x: 0, y: 0};
+      const netMomentum = this.sim.objects.reduce((acc, obj) => ({
-      let totalMass = 0;
+          x: acc.x + obj.mass * obj.velocity.x,
-      let count = 0;
+          y: acc.y + obj.mass * obj.velocity.y,
-      this.sim.objects.forEachObject(obj => {
+        }), { x: 0, y: 0 });
-        count++;
+
-        netMomentum.x += obj.mass * obj.velocity.x;
-        netMomentum.y += obj.mass * obj.velocity.y;
-        totalMass += obj.mass;
-      });
-      if (!count) {
-        return;
-      }
       const netVelocity = {
         x: netMomentum.x / totalMass,
         y: netMomentum.y / totalMass,
       };
+
       // Apply offset to all object velocities
       this.sim.objects.forEachObject(obj => {
         obj.velocity.x -= netVelocity.x;
         obj.velocity.y -= netVelocity.y;
       });
 
-      // TODO: Zero net angular momentum
-
       // Cancel panning
       this.sim.pointer.panning = undefined;
     });