Uh.

articles/article.template.html

@@ -4,7 +4,7 @@
 		{% block head %}
 		<meta charset="utf-8">
 		<title>{% block title %}Writings by Shoofle{% endblock %}</title>
-		<script src="/static/jquery.min.js" type="text/javascript"></script>
+		<script src="/static/jquery-2.0.3.js" type="text/javascript"></script>
 		<link href="/static/bootstrap/css/bootstrap.css" rel="stylesheet" type="text/css">
 		<link href="/static/bootstrap/css/bootstrap-responsive.css" rel="stylesheet" type="text/css">
 		<link href="/static/shoofle.css" rel="stylesheet" type="text/css">

articles/dynamic_systems_in_games.article.html

@@ -3,6 +3,7 @@
 <script type="text/javascript" src="/static/flot/jquery.flot.js"></script>
 <script type="text/javascript" src="/static/flot/jquery.flot.resize.js"></script>
 <script type="text/javascript" src="engine.js"></script>
+<script type="text/javascript" src="supporting_math.js"></script>
 <h1>Dynamic Systems in Games</h1>
 <p>Here, take a look at this simple game I coded up. Your task is to keep an engine's temperature as high as possible, to maximize power output, without dmaaging the engine. The threshhold for damage is at <span data-var="damage_threshhold">10</span> degrees, and the engine will stop burning and deignite if it goes under <span data-var="ignition_threshhold">2</span> degrees.</p>
 <div class="row-fluid">
@@ -97,18 +98,17 @@
 	<div id="fuel-management-4" class="span4 offset4">
 		<script type="text/javascript">
 			// describe a better potential graph
-			var e4=engine($('#fuel-management-4'), function (sq) {
-				if (sq.temperature.value < sq.ignition_threshhold.value) {
-					return 0;
-				}
-				var y = 0;
-				y += 10*recenter(dgauss, 
-					10*sq.fuel_flow_rate.value + sq.ignition_threshhold.value,
-					Math.sqrt(10*sq.fuel_flow_rate.value)) (sq.temperature.value);
-				y -= 5*recenter(dgauss, 
-					10*sq.fuel_flow_rate.value + sq.ignition_threshhold.value,
-					Math.sqrt(2*sq.fuel_flow_rate.value)) (sq.temperature.value);
-				return y;
+			var f, t, i;
+			var e4=alt_engine($('#fuel-management-4'), function (sq) {
+				f = sq.fuel_flow_rate.value;
+				t = sq.temperature.value;
+				i = sq.ignition_threshhold.value;
+				return -5*(
+					exp_decay(0.5, 0.3) (t) +
+					exp_growth(0.5, 10) (t) +
+					Math.sqrt(1+60*f)*(make_bell(10*f+i, Math.sqrt(10*f+1)) (t)) + 
+					-1*Math.sqrt(1+10*f)*(make_bell(10*f+i, Math.sqrt(f+1)) (t))
+					);
 			});
 		</script>
 		<div class="flow_rate">

articles/dynamic_systems_in_games/engine.js

@@ -1,7 +1,14 @@
+var cfg = {
+	xaxis: { min:0, max:15, tickSize: 3 }, 
+	yaxis: { min:-20, max:20, show: false },
+	series: { lines: { lineWidth: 4, }, points: { radius: 0.1, } },
+	colors: ['gray'],
+};
 function engine(element, reaction_rate_function) {
 	var e = {}; // the engine object!
 	e.container = $(element);
 	var q = {};
+	e.reaction_rate_function = reaction_rate_function;
 	e.quantities = q;
 	q.temperature = {
 		"update": function () {
@@ -25,7 +32,7 @@ function engine(element, reaction_rate_function) {
 		},
 		"value": 0,
 		"graph_data": {
-			data: [[0,10],[0,0],[0,-10]], 
+			data: [[0,cfg.yaxis.max+2],[0,0],[0,cfg.yaxis.min-2]], 
 			lines: {show: true, lineWidth: 1}, 
 			points: {show: true, radius: 3}, 
 			color: 'red',
@@ -57,7 +64,7 @@ function engine(element, reaction_rate_function) {
 	q.ignition_threshhold = {
 		"update": function () {},
 		"out": function() {
-			this.graph_data.data = [[this.value, 10], [this.value, -10], [-this.value, -10], [-this.value, 10], [this.value, 10]];
+			this.graph_data.data = [[this.value, cfg.yaxis.max+2], [this.value, cfg.yaxis.min-2], [-this.value, cfg.yaxis.min-2], [-this.value, cfg.yaxis.max+2], [this.value, cfg.yaxis.max+2]];
 		},
 		"value": 2,
 		"graph_data": {
@@ -70,7 +77,7 @@ function engine(element, reaction_rate_function) {
 	q.damage_threshhold = {
 		"update": function () {},
 		"out": function() {
-			this.graph_data.data = [[this.value, -10], [this.value, 10], [20*this.value, 10], [20*this.value, -10], [this.value, -10]];
+			this.graph_data.data = [[this.value, cfg.yaxis.min-2], [this.value, cfg.yaxis.max+2], [20*this.value, cfg.yaxis.max+2], [20*this.value, cfg.yaxis.min-2], [this.value, cfg.yaxis.min-2]];
 		},
 		"value": 10,
 		"graph_data": {
@@ -105,7 +112,7 @@ function engine(element, reaction_rate_function) {
 	
 	e.graph_config = { 
 		xaxis: { min:0, max:15, tickSize: 3 }, 
-		yaxis: { min:-8, max:8, show: false },
+		yaxis: { min:-20, max:20, show: false },
 		series: { lines: { lineWidth: 4, }, points: { radius: 0.1, } },
 		colors: ['gray'],
 	};
@@ -158,3 +165,15 @@ function engine(element, reaction_rate_function) {
 	});
 	return e;
 }
+
+function temperature_derivative (fn, step) {
+	return function (quantities) {
+		var next_input = $.extend({}, quantities);
+		next_input.temperature = {"value": quantities.temperature.value + step};
+		return (fn(next_input) - fn(quantities))/step;
+	};
+};
+var step = 0.005;
+function alt_engine(element, reaction_rate_potential_function) {
+	return engine(element, temperature_derivative(reaction_rate_potential_function, step));
+}

articles/dynamic_systems_in_games/supporting_math.js

@@ -0,0 +1,20 @@
+function make_gaussian(mean, standard_deviation) {
+	return function (x) {
+		return Math.exp(-Math.pow((x-mean)/standard_deviation, 2))/(standard_deviation * Math.sqrt(2*Math.PI));
+	};
+}
+function make_bell(mean, standard_deviation) {
+	return function (x) {
+		return Math.exp(-Math.pow((x-mean)/standard_deviation, 2));
+	};
+}
+function exp_decay(height, width) {
+	return function (x) {
+		return height*Math.exp(-x/width);
+	};
+}
+function exp_growth(height, width) {
+	return function (x) {
+		return height*Math.exp(x/width);
+	};
+}

articles/game_log.article.html

@@ -134,6 +134,7 @@
 					<span class="achievement normal">Beat the Elite Four</span>
 				</div>
 			</li>
+			<li>Prince of Persia (1989)</li>
 			<li>Prince of Persia: Sands of Time</li>
 			<li>Prince of Persia (2008)</li>
 			<li>Super Smash Brothers: Melee
@@ -167,6 +168,8 @@
 				<p class="thoughts">I think this might be my #1 pick for best Zelda game.</p>
 			</li>
 			<li>Legend of Zelda: Ocarina of Time</li>
+			<li>Legend of Zelda: Majora's Mask</li>
+			<li>Legend of Zelda: The Wind Waker</li>
 			<li>Legend of Zelda: Twilight Princess</li>
 			<li>Super Mario 64</li>
 			<li>Super Mario Sunshine</li>
@@ -234,6 +237,11 @@
 					<span class="achievement normal">Discovered all the particles</span>
 				</div>
 			</li>
+			<li>Guns of Icarus
+				<div class="accolades">
+					<span class="achievement bad">unfinished</span>
+				</div>
+			</li>
 		</ul>
 	</section>
 	<section>