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index.html
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<!DOCTYPE html>
<html>
<head>
<title>Sequences & Series</title>
<script src="./Chart.min.js"></script>
<script src="./math.min.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}
});
</script>
<script type="text/javascript" async src="./MathJax-2.6.1/MathJax.js?config=TeX-MML-AM_CHTML"></script>
</head>
<style>
span.block {
display: block;
width: 100%;
text-align: center;
}
span.inline-block, span.MJXc-display {
display: inline-block;
text-align: left;
}
</style>
<body>
<span id="input_block" class="block">
$$\sum_{n=1}^{\infty}$$
<input type="text" id="equation">
<button id="start" onclick="start()">Start</button>
</span>
<span class="block">
<span class="inline-block">
<canvas id="sequence_chart" width="400" height="400"></canvas>
<div>
a<sub id="element_index">1</sub> ≈ <span id="element">0</span>
</div>
</span>
<span class="inline-block">
<canvas id="series_chart" width="400" height="400"></canvas>
<div>
S<sub id="sum_index">1</sub> ≈ <span id="sum">0</span>
</div>
</span>
</span>
<script>
var eqn, scope, interval, counter, series = 0, seriesArray = [];
var element_index = document.getElementById("element_index"),
element = document.getElementById("element"),
sum_index = document.getElementById("sum_index"),
sum = document.getElementById("sum");
function start() {
clearInterval(interval);
eqn = document.getElementById("equation").value;
scope = {
n: 1,
};
counter = 1000;
seqChart.data.datasets[0].data = [];
seqChart.data.labels = [];
serChart.data.datasets[0].data[0] = 0;
seriesArray = [];
seqChart.update(0, false);
serChart.update(0, false);
element_index.innerHTML = 1;
element.innerHTML = 0;
sum_index.innerHTML = 1;
sum.innerHTML = 0;
interval = setInterval(updateCharts, counter);
}
var updateCharts = function() {
clearInterval(interval);
counter /= (counter >= 0 ? Math.E/100 + 1 : 1);
interval = setInterval(updateCharts, counter);
var nextElement = math.eval(eqn, scope);
seriesArray.push(isNaN(nextElement) ? 0 : nextElement);
// Somehow NaN Problemm Still Exists When Running n!/n^n
seqChart.data.datasets[0].data.push(isNaN(nextElement) ? 0 : nextElement);
seqChart.data.labels.push(scope.n++);
// Keep 20 Bars Maximum
if (seqChart.data.datasets[0].data.length == 20) {
seqChart.data.labels.shift();
seqChart.data.datasets[0].data.shift();
}
seqChart.update(counter, false);
var latestSeries = seriesArray.reduce(function (a, b){return a + b;}, 0)
serChart.data.datasets[0].data[0] = latestSeries;
serChart.update(counter, false);
element_index.innerHTML = seqChart.data.labels[seqChart.data.labels.length - 1];
element.innerHTML = nextElement;
sum_index.innerHTML = element_index.innerHTML;
sum.innerHTML = latestSeries;
};
var seqCanvas = document.getElementById('sequence_chart'),
seqCtx = seqCanvas.getContext('2d'),
seqParameters = {
type: 'bar',
data: {
labels: [],
datasets: [{
label: "Sequence Elements",
data: [],
}]
},
options: {
scales: {
xAxes: [{
categoryPercentage: 1,
barPercentage: 1,
}],
}
}
},
serCanvas = document.getElementById('series_chart'),
serCtx = serCanvas.getContext('2d'),
serParameters = {
type: 'bar',
data: {
labels: ["Series Sum"],
datasets: [{
label: "Series Sum",
data: [0],
}]
},
options: {
scales: {
xAxes: [{
categoryPercentage: 1,
barPercentage: 1,
}],
}
}
};
Chart.defaults.global.responsive = false;
var seqChart = new Chart(seqCtx, seqParameters);
var serChart = new Chart(serCtx, serParameters);
</script>
</body>
</html>