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88 changes: 88 additions & 0 deletions
88
server/src/other/jsxgraph/quadratic-function-product-form.html
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,88 @@ | ||
| <!doctype html> | ||
| <html lang="de"> | ||
| <head> | ||
| <title>Produktform</title> | ||
| <meta charset="utf-8"> | ||
| <meta name="viewport" content="width=device-width, initial-scale=1.0, viewport-fit=cover" /> | ||
|
|
||
| <link rel='stylesheet' type='text/css' href='https://cdn.jsdelivr.net/npm/jsxgraph@latest/distrib/jsxgraph.css'/> | ||
| <script src='https://cdn.jsdelivr.net/npm/jsxgraph@latest/distrib/jsxgraphcore.js' type='text/javascript'></script> | ||
|
|
||
| <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@latest/dist/katex.min.css" crossorigin="anonymous"> | ||
| <script src="https://cdn.jsdelivr.net/npm/katex@latest/dist/katex.min.js" crossorigin="anonymous"></script> | ||
|
|
||
| <style> | ||
| body { | ||
| margin: 0px; | ||
| padding: 0px; | ||
| overflow: hidden; | ||
| } | ||
| .container { | ||
| display: grid; | ||
| grid-template-columns: 1fr; | ||
| position: relative; | ||
| } | ||
| .jxgbox { border-radius: 0px; border: none} | ||
| .panel { | ||
| position: absolute; | ||
| display: flex; | ||
| flex-direction: row; | ||
| gap: 12px; | ||
| font-family: Roboto, sans-serif; | ||
| right: 4px | ||
| } | ||
| .term { background-color: white } | ||
| </style> | ||
| </head> | ||
| <body> | ||
|
|
||
| <div class="container"> | ||
| <div id=fboard class='jxgbox' style='width: 100%; aspect-ratio: 1'></div> | ||
| </div> | ||
|
|
||
| <script type='text/javascript'> | ||
| var board = JXG.JSXGraph.initBoard('fboard', {boundingbox: [-4.5, 9, 4.5, -9], axis: true, grid: false, showNavigation: false, showZoom: false, showCopyright: false, pan: { enabled: false}}); | ||
|
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| var a = board.create('slider', [[-4.3, 8], [-1.3, 8], [-3, 1, 3]], {snapWidth: .2, ticks: { drawLabels: true, insertTicks: false, ticksDistance: .5, label: {fontSize: 13, strokeColor: '#D55E00'} }, name: 'a', digits: 1, label: {fontSize: 14, strokeColor: '#D55E00', cssClass: 'term'}}) | ||
| var t = board.create('text', [4, -8, () => ""], { cssClass: 'term', fixed: true, anchorX: 'right', useKatex: true }); | ||
|
|
||
| var A = board.create('point', [-4, 0], { visible: false, fixed: true }) | ||
| var B = board.create('point', [4, 0], { visible: false, fixed: true }) | ||
| var bar = board.create('segment', [A,B], { visible: true, fixed: true }) | ||
|
|
||
| var n1 = board.create('glider', [-2, 0, bar], { visible: true, withLabel: false }) | ||
| var n2 = board.create('glider', [2, 0, bar], { visible: true, withLabel: false }) | ||
|
|
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| var gliders = [n1, n2]; | ||
| var f = undefined; | ||
|
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| gliders.forEach(g => { | ||
| g.on('up', () => { | ||
| g.moveTo([Math.round(g.X()*2)/2, 0], 100, { effect: '<>', callback: plot }); | ||
| }); | ||
| }) | ||
| const plusminus = val => val < 0 ? "- " + (-val) : "+ " + val; | ||
| const plot = () => { | ||
| let table = gliders.map(g => { r = { x: g.X(), ex: 1}; return r }); | ||
| let multiplicities = Object.entries(Object.groupBy(table, ({x}) => x)).map(entry => { l = [entry[0], entry[1].length]; return l }).sort(((a, b) => a[0] - b[0])); | ||
| let term = "" + a.Value().toFixed(1); | ||
| let tex = "f(x)=" + a.Value().toFixed(1); | ||
| multiplicities.forEach(m => { | ||
| term += `*(x${plusminus(-m[0])})${m[1]>1 ? "**" + m[1] : ""}` | ||
| tex += `\\cdot\\left(x${plusminus(-m[0])}\\right)${m[1]>1 ? "^" + m[1] : ""}` | ||
| }) | ||
| if (f) board.removeObject(f) | ||
| if (gliders.length) { | ||
| f = board.create('functiongraph', [board.jc.snippet(term, true, 'x', true)]); | ||
| t.setText(tex); | ||
| } | ||
| else | ||
| t.setText(""); | ||
| } | ||
|
|
||
| a.on('drag', plot); | ||
| plot(); | ||
| </script> | ||
|
|
||
| </body> | ||
| </html> |
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