First commit.

.gitignore

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+tmp

Buildfile

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+# ==========================================================================
+# Project:   TiBattles
+# Copyright: @2011 My Company, Inc.
+# ==========================================================================
+
+# Add initial buildfile information here
+config :all,
+  :required => ["sproutcore/core_foundation", "sproutcore/datastore"],
+  :theme => "sproutcore/empty_theme"
+

README

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+==========================================================================
+Project:   TiBattles
+Copyright: @2011 Shawn Garbett, Jonathan Hicks
+==========================================================================
+
+This is a web app for determining the best probability for the game
+Twilight Imperium.
+

apps/ti_battles/resources/stylesheets/ti_battles.css

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+/* ==========================================================================
+*  Project:   TiBattles
+*  Copyright: @2011 My Company, Inc.
+*  ==========================================================================
+*/
+
+.sc-view {
+  position: relative;
+  overflow: visible;
+}

apps/ti_battles/resources/templates/ti_battles.handlebars

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+<h1>Welcome to Twilight Imperium Stats!</h1>
+{{#view TiBattles.Die1View}}
+  <label>Probability Die #1
+    <input type="range" min="0.0" max="1.0" step="0.1" {{bindAttr value="probability"}}>
+  </label>
+  <label>Number of Rolls #1
+    <input type="range" min="0" max="10" step="1" {{bindAttr value="numRoll"}}>
+  </label>
+{{/view}}
+{{#view TiBattles.Die2View}}
+  <label>Probability Die #2
+    <input type="range" min="0.0" max="1.0" step="0.1" {{bindAttr value="probability"}}>
+  </label>
+  <label>Number of Rolls #2
+    <input type="range" min="0" max="10" step="1" {{bindAttr value="numRoll"}}>
+  </label>
+{{/view}}

apps/ti_battles/ti_battles.js

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+// ==========================================================================
+// Project:   TiBattles
+// Copyright: @2011 My Company, Inc.
+// ==========================================================================
+/*globals TiBattles */
+
+TiBattles = SC.Application.create();
+
+
+TiBattles.Die = SC.Record.extend({
+  probability: SC.Record.attr(Number),
+  rollNum: SC.Record.attr(Number),
+
+  distribution: function (n, p) {
+    var n = this.get('rollNum'),
+        result = [];
+    for (var k = 0; k <= n; k++) {
+      result[k] = binomial(n, k);
+    }
+    return result;
+  }.property("probability", "rollNum"),
+
+  binomial: function (n, k) {
+    var p = this.get('probability');
+    return Math.pow(p, k) * Math.pow(1-p, n-k) * this._choose(n, k);
+  },
+
+  _choose: function (n, k) {
+    if (k == 0) { return 1; }
+    if (n == 0) { return 0; }
+
+    return this._choose(n-1, k-1) * n / k;
+  }
+
+});
+
+TiBattles.die1 = new TiBattles.Die({
+    probability: 0.8,
+    rollNum: 3
+});
+
+TiBattles.die2 = new TiBattles.Die({
+    probability: 0.2,
+    rollNum: 6
+});
+
+TiBattles.dieStats = SC.ArrayController.create({
+  convolute: function () {
+    var f = TiBattles.die1.distribution,
+        g = TiBattles.die2.distribution,
+        result = [],
+        s = f.length + g.length - 1,
+        i;
+    for (var n = 0; n < s; n++) {
+      result[n] = 0.0;
+      for (var m = 0; m <= n && m < f.length; m++) {
+        i = n - m;
+        if (i >= 0 && i < g.length) {
+          result[n] += f[m] * g[i];
+        }
+      }
+    }
+    return result;
+  },
+
+  content: function() {
+    var convolute = this.convolute(), d = [];
+    for (var i = 0; i < convolute.length; i++) { d.push([i, convolute[i]]); }
+    console.log(d);
+    return d;
+  }.property("die1", "die2")
+
+});
+
+TiBattles.Die1View = SC.TemplateView.extend({
+  probabilityBinding: 'TiBattles.die1.probability',
+  numRollBinding: 'TiBattles.die1.numRoll'
+});
+
+TiBattles.Die2View = SC.TemplateView.extend({
+  probabilityBinding: 'TiBattles.die2.probability',
+  numRollBinding: 'TiBattles.die2.numRoll'
+});
+
+SC.ready(function() {
+  TiBattles.mainPane = SC.TemplatePane.append({
+    layerId: 'ti_battles',
+    templateName: 'ti_battles'
+  });
+});