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<!DOCTYPE html>
<html>
<head>
<title>pyMathEngine</title>
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script
id="MathJax-script"
async
src="https://cdn.jsdelivr.net/npm/mathjax@3.0.1/es5/tex-mml-chtml.js"
></script>
<link
href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/css/bootstrap.min.css"
rel="stylesheet"
integrity="sha384-9ndCyUaIbzAi2FUVXJi0CjmCapSmO7SnpJef0486qhLnuZ2cdeRhO02iuK6FUUVM"
crossorigin="anonymous"
/>
<script
src="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/js/bootstrap.bundle.min.js"
integrity="sha384-geWF76RCwLtnZ8qwWowPQNguL3RmwHVBC9FhGdlKrxdiJJigb/j/68SIy3Te4Bkz"
crossorigin="anonymous"
></script>
<link
rel="icon"
type="image/png"
href="https://cdn.discordapp.com/attachments/838048982873538572/1131593508759814287/favicon.png"
/>
</head>
<body>
<div class="m-3">
<div class="alert alert-info mb-2" role="alert">
Welcome to <b>pyMathEngine</b>, a mathematical engine in the style of
Wolfram Alpha. <br />
Currently, the engine can only take univariate expressions and simple
equations, but additional features are being added over time. , but
additional features are being added over time.<br />
Some notes:
<ul>
<li>Euler's number (\(e\)) is written as "E" in the box</li>
<li>Pi (\(\pi\)) is written as "pi" in the box</li>
</ul>
</div>
<div class="row mt-3">
<div class="col-sm">
<div class="input-group mb-3">
<input
id="expression"
type="text"
class="form-control"
placeholder="Enter a univariate expression..."
aria-label="Enter a univariate expression..."
aria-describedby="button-addon"
/>
<button
class="btn btn-secondary"
type="button"
onclick="get_uni()"
id="button-addon"
>
Search
</button>
</div>
</div>
<div class="col-sm">
<div class="input-group mb-3">
<input
id="lhs"
type="text"
placeholder="LHS of equation"
class="form-control"
/>
<span class="input-group-text">=</span>
<input
id="rhs"
type="text"
placeholder="RHS of equation"
class="form-control"
/>
<button
class="btn btn-secondary"
type="button"
onclick="get_eq()"
id="button-addon"
>
Search
</button>
</div>
</div>
</div>
</div>
<div id="response" class="m-3"></div>
</body>
<script>
function get_eq() {
let lhs = document.getElementById("lhs").value;
let rhs = document.getElementById("rhs").value;
let responseBox = document.getElementById("response");
responseBox.innerHTML = `
<div class="d-flex justify-content-center">
<div class="spinner-border" role="status">
<span class="visually-hidden">Loading...</span>
</div>
</div>
`;
fetch(
`https://${"{{ HOSTNAME }}"}/api/equation?lhs=${encodeURIComponent(
lhs
)}&rhs=${encodeURIComponent(rhs)}`
)
.then((response) => {
if (!response.ok) {
let err = new Error("HTTP error: " + response.status);
err.response = response;
err.status = response.status;
throw err;
} else {
response.json().then((data) => {
console.log(data);
let responseBox = document.getElementById("response");
if (data.solution.length == 0) {
solution = "\\text{No solutions exist}";
} else {
solution = data.solution;
}
responseBox.innerHTML = "";
responseBox.innerHTML += `
<div class="card mt-2">
<div class="card-header">Solutions</div>
<div class="card-body overflow-auto"><p>
$$ ${solution} $$
</p></div>
</div>
`;
MathJax.typeset();
});
}
})
.catch((err) => {
let responseBox = document.getElementById("response");
responseBox.innerHTML = "";
responseBox.innerHTML += `
<div class="card mt-2">
<div class="card-header bg-danger text-white">Error</div>
<div class="card-body">
<p>${err.message}</p>
<p>This is likely because you have entered an invalid expression.</p>
</div>
</div>
`;
});
}
function get_uni() {
let exp = document.getElementById("expression").value;
let responseBox = document.getElementById("response");
responseBox.innerHTML = `
<div class="d-flex justify-content-center">
<div class="spinner-border" role="status">
<span class="visually-hidden">Loading...</span>
</div>
</div>
`;
fetch(
`http://${"{{ HOSTNAME }}"}/api/univariate?func=${encodeURIComponent(
exp
)}`
)
.then((response) => {
if (!response.ok) {
// create error object and reject if not a 2xx response code
let err = new Error("HTTP status code: " + response.status);
err.response = response;
err.status = response.status;
throw err;
} else {
response.json().then((data) => {
console.log(data);
let responseBox = document.getElementById("response");
if (data.solution.length == 0) {
solution = "\\text{No solutions exist}";
} else {
solution = data.solution;
}
responseBox.innerHTML = "";
responseBox.innerHTML += `
<div class="card mt-2">
<div class="card-header">Input</div>
<div class="card-body">
<p>$$ f(${data.variable}) = ${data.expression} $$</p>
</div>
</div>
<div class="card mt-2">
<div class="card-header">Solutions (where \\(f(${data.variable}) = 0\\))</div>
<div class="card-body overflow-auto"><p>
$$ ${solution} $$
</p></div>
</div>
<div class="card mt-2">
<div class="card-header">Plot</div>
<div class="card-body text-center">
<img src="data:image/png;base64,${data.plot}" />
</div>
</div>
<div class="card mt-2">
<div class="card-header">Differential</div>
<div class="card-body">
<p>$$ \\frac{\\mathrm{d} f(${data.variable}) }{\\mathrm{d} ${data.variable}} = ${data.diff} $$</p>
</div>
</div>
<div class="card mt-2">
<div class="card-header">Integral</div>
<div class="card-body">
<p>$$ \\int f(${data.variable})\\, \\mathrm{d}${data.variable} = ${data.integral} + c$$</p>
</div>
</div>
<div class="card mt-2">
<div class="card-header">Limits</div>
<div class="card-body">
<p>$$ \\lim_{${data.variable} \\rightarrow \\infty} = ${data.limit_inf}$$</p>
<p>$$ \\lim_{${data.variable} \\rightarrow 0} = ${data.limit_zero}$$</p>
</div>
</div>
`;
MathJax.typeset();
});
}
})
.catch((err) => {
let responseBox = document.getElementById("response");
responseBox.innerHTML = "";
responseBox.innerHTML += `
<div class="card mt-2">
<div class="card-header bg-danger text-white">Error</div>
<div class="card-body">
<p>${err.message}</p>
<p>This is likely because you have entered an invalid expression.</p>
</div>
</div>
`;
});
}
</script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
"CommonHTML": { linebreaks: { automatic: true, width: "container" } },
"HTML-CSS": { linebreaks: { automatic: true, width: "container" } },
"SVG": { linebreaks: { automatic: true, width: "container" } }
});
</script>
</html>
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