golden-spiral/index.html at master · KinoxKlark/golden-spiral · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <meta http-equiv="X-UA-Compatible" content="ie=edge">
    <title>Golden Spiral</title>

    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0/css/bootstrap.min.css" integrity="sha384-Gn5384xqQ1aoWXA+058RXPxPg6fy4IWvTNh0E263XmFcJlSAwiGgFAW/dAiS6JXm" crossorigin="anonymous">
    <link rel="stylesheet" href="css/styles.css" type="text/css" />
</head>
<body>

    <div class="container">
        <header>
            <h1>Golden Spiral</h1>
        </header>

        <div class="row">
            <div id="spiral" class="col-12 col-md-8">
                <canvas id="spiral-canvas" width="1000px" height="1000px"></canvas>
            </div>
            <div id="fraction" class="col-12 col-md-4">

                <input id="number" type="number" onchange="updateNumber()" value="" step="0.01" min="0" />
                <hr/>

                <h2>Presets</h2>
                <button id="preset-phi"    class="btn" onclick="document.getElementById('number').value = (1+Math.sqrt(5))/2; updateNumber();">$\varphi$</button>
                <button id="preset-pi"     class="btn" onclick="document.getElementById('number').value = Math.PI;            updateNumber();">$\pi$</button>
                <button id="preset-sqrt2"  class="btn" onclick="document.getElementById('number').value = Math.sqrt(2);       updateNumber();">$\sqrt{2}$</button>
                <button id="preset-sqrt3"  class="btn" onclick="document.getElementById('number').value = Math.sqrt(3);       updateNumber();">$\sqrt{3}$</button>
                <hr/>

                <h2>Continued fraction</h2>
                <div id="latex"></div>

            </div>
        </div>

        <hr/>

        <div  class="row justify-content-center">
            <a class="github-button" href="https://github.com/KinoxKlark/golden-spiral" data-icon="octicon-star" data-size="large" aria-label="Star KinoxKlark/golden-spiral on GitHub">Star</a>
            <a class="github-button" href="https://github.com/KinoxKlark/golden-spiral/fork" data-icon="octicon-repo-forked" data-size="large" aria-label="Fork KinoxKlark/golden-spiral on GitHub">Fork</a>
            <a class="github-button" href="https://github.com/KinoxKlark/golden-spiral/issues" data-icon="octicon-issue-opened" data-size="large" aria-label="Issue KinoxKlark/golden-spiral on GitHub">Issue</a>
            <a class="github-button" href="https://github.com/KinoxKlark/golden-spiral/archive/master.zip" data-icon="octicon-cloud-download" data-size="large" aria-label="Download KinoxKlark/golden-spiral on GitHub">Download</a>
        </div>

    </div>

    <script async defer src="https://buttons.github.io/buttons.js"></script>
    <script type="text/x-mathjax-config">
        MathJax.Hub.Config({
          tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}
        });
    </script>
    <script src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.3/MathJax.js?config=TeX-MML-AM_CHTML' async></script>

    <script src="javascript/script.js"></script>

    <script>

        var canvas = document.getElementById('spiral-canvas');
        var phi = (1+Math.sqrt(5))/2;

        document.getElementById("number").value = phi;

        updateNumber();

        function updateNumber()
        {
            var number = document.getElementById("number").value;
            drawSpiral(number, canvas);

            var seq = getContinuedFractionSequence(number, 5);
            var fraction = writeFraction(seq);

            function writeFraction(seq) {
                var fraction = "";
                var integer = seq.shift();
                if(integer == -1) return "\\ddots";
                if(integer != 0) fraction += integer;
                if(integer != 0 && seq.length > 0) fraction += " + ";
                if(seq.length > 0) fraction += "\\frac{1}{"+writeFraction(seq)+"}";
                return fraction;
            }

            document.getElementById('latex').innerHTML = "$$"+fraction+"$$";
            if(typeof MathJax !== 'undefined') MathJax.Hub.Queue(["Typeset",MathJax.Hub]);
        }

    </script>
</body>
</html>