speedy-vision
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GPU-accelerated Computer Vision for JavaScript
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HTML
<!--
speedy-vision.js
GPU-accelerated Computer Vision for JavaScript
Copyright 2020-2022 Alexandre Martins <alemartf(at)gmail.com>
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
system-of-equations.html
System of Equations Demo
-->
<html>
<head>
<meta charset="utf-8">
<meta name="description" content="speedy-vision.js: GPU-accelerated Computer Vision for JavaScript">
<meta name="author" content="Alexandre Martins">
<title>Linear System of Equations</title>
<script src="../dist/speedy-vision.js"></script>
<link href="style.css" rel="stylesheet">
</head>
<body>
<h1>System of Equations</h1>
<form>
<div>
We have 3 equations and 3 unknowns.
<br>
Simply edit the fields below.
Method:
<select id="method">
<option value="qr" selected>qr</option>
</select>
</div>
<div class="separator"></div>
<div>
<table>
<tr>
<td><input type="number" id="a0" step="0.5" value="1.0"> x</td>
<td> + </td>
<td><input type="number" id="a3" step="0.5" value="0.0"> y</td>
<td> + </td>
<td><input type="number" id="a6" step="0.5" value="0.0"> z</td>
<td></td>
<td><input type="number" id="b0" step="0.5" value="0.0"></td>
</tr>
<tr>
<td><input type="number" id="a1" step="0.5" value="0.0"> x</td>
<td> + </td>
<td><input type="number" id="a4" step="0.5" value="1.0"> y</td>
<td> + </td>
<td><input type="number" id="a7" step="0.5" value="0.0"> z</td>
<td> = </td>
<td><input type="number" id="b1" step="0.5" value="0.0"></td>
</tr>
<tr>
<td><input type="number" id="a2" step="0.5" value="0.0"> x</td>
<td> + </td>
<td><input type="number" id="a5" step="0.5" value="0.0"> y</td>
<td> + </td>
<td><input type="number" id="a8" step="0.5" value="1.0"> z</td>
<td></td>
<td><input type="number" id="b2" step="0.5" value="0.0"></td>
</tr>
</table>
</div>
</form>
<pre>Edit any field to begin!</pre>
<script>
window.onload = function() {
const output = document.querySelector('pre');
const input = {
method: document.querySelector('#method'),
a: [ ...(new Array(9).keys()) ].map(j => document.querySelector('#a' + j)),
b: [ ...(new Array(3).keys()) ].map(j => document.querySelector('#b' + j))
};
// setup event listener
[ ...input.a, ...input.b, input.method ].forEach(field =>
field.addEventListener('input', solve)
);
// output
function println(str)
{
output.innerText += str + '\n';
}
function clear()
{
output.innerText = '';
}
// solve the system of equations
async function solve()
{
// Solve Ax = b for x
const A = Speedy.Matrix(3, 3, input.a.map(field => Number(field.value)));
const b = Speedy.Matrix(3, 1, input.b.map(field => Number(field.value)));
const x = Speedy.Matrix.Zeros(3, 1);
await Speedy.Matrix.solve(x, A, b);
const solution = x.read();
// print the solution
clear();
println('Solution:\n');
println('x = ' + solution[0].toFixed(9));
println('y = ' + solution[1].toFixed(9));
println('z = ' + solution[2].toFixed(9));
}
}
</script>
<mark>Powered by <a href="https://github.com/alemart/speedy-vision">speedy-vision.js</a></mark>
</body>
</html>