96 lines
4.6 KiB
TypeScript
96 lines
4.6 KiB
TypeScript
import React, { useState } from 'react';
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const ParabolaWidget: React.FC = () => {
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const [a, setA] = useState(1);
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const [h, setH] = useState(2);
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const [k, setK] = useState(1);
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// Viewport
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const range = 10;
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const size = 300;
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const scale = 300 / (range * 2);
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const center = size / 2;
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const toPx = (v: number, isY = false) => isY ? center - v * scale : center + v * scale;
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// Generate Path
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const generatePath = () => {
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const step = 0.5;
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let d = "";
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for (let x = -range; x <= range; x += step) {
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const y = a * Math.pow(x - h, 2) + k;
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// Clip if way out of bounds to avoid SVG issues
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if (Math.abs(y) > range * 2) continue;
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const px = toPx(x);
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const py = toPx(y, true);
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d += x === -range ? `M ${px} ${py}` : ` L ${px} ${py}`;
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}
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return d;
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};
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return (
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<div className="bg-white p-6 rounded-xl shadow-lg border border-slate-200">
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<div className="flex flex-col md:flex-row gap-8">
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<div className="w-full md:w-1/3 space-y-6">
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<div className="bg-slate-50 p-4 rounded-xl text-center border border-slate-200">
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<div className="text-xs font-bold text-slate-400 uppercase mb-1">Vertex Form</div>
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<div className="text-xl font-mono font-bold text-slate-800">
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y = <span className="text-indigo-600">{a}</span>(x - <span className="text-emerald-600">{h}</span>)² + <span className="text-rose-600">{k}</span>
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</div>
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</div>
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<div className="space-y-4">
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<div>
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<label className="text-xs font-bold text-indigo-600 uppercase flex justify-between">
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Stretch (a) <span>{a}</span>
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</label>
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<input type="range" min="-3" max="3" step="0.5" value={a} onChange={e => setA(parseFloat(e.target.value))} className="w-full h-2 bg-indigo-100 rounded-lg accent-indigo-600"/>
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</div>
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<div>
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<label className="text-xs font-bold text-emerald-600 uppercase flex justify-between">
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H-Shift (h) <span>{h}</span>
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</label>
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<input type="range" min="-5" max="5" step="0.5" value={h} onChange={e => setH(parseFloat(e.target.value))} className="w-full h-2 bg-emerald-100 rounded-lg accent-emerald-600"/>
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</div>
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<div>
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<label className="text-xs font-bold text-rose-600 uppercase flex justify-between">
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V-Shift (k) <span>{k}</span>
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</label>
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<input type="range" min="-5" max="5" step="0.5" value={k} onChange={e => setK(parseFloat(e.target.value))} className="w-full h-2 bg-rose-100 rounded-lg accent-rose-600"/>
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</div>
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</div>
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</div>
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<div className="flex-1 flex justify-center">
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<div className="relative w-[300px] h-[300px] bg-white border border-slate-200 rounded-xl overflow-hidden">
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<svg width="100%" height="100%" viewBox="0 0 300 300">
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<defs>
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<pattern id="para-grid" width={scale} height={scale} patternUnits="userSpaceOnUse">
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<path d={`M ${scale} 0 L 0 0 0 ${scale}`} fill="none" stroke="#f1f5f9" strokeWidth="1"/>
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</pattern>
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</defs>
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<rect width="100%" height="100%" fill="url(#para-grid)" />
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{/* Axes */}
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<line x1="0" y1={center} x2={size} y2={center} stroke="#cbd5e1" strokeWidth="2" />
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<line x1={center} y1="0" x2={center} y2={size} stroke="#cbd5e1" strokeWidth="2" />
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{/* Parabola */}
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<path d={generatePath()} fill="none" stroke="#8b5cf6" strokeWidth="3" />
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{/* Vertex */}
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<circle cx={toPx(h)} cy={toPx(k, true)} r="5" fill="#e11d48" stroke="white" strokeWidth="2" />
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<text x={toPx(h)} y={toPx(k, true) - 10} textAnchor="middle" className="text-xs font-bold fill-rose-600 bg-white">V({h}, {k})</text>
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{/* Axis of Symmetry */}
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<line x1={toPx(h)} y1="0" x2={toPx(h)} y2={size} stroke="#10b981" strokeWidth="1" strokeDasharray="4,4" opacity="0.5" />
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</svg>
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</div>
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</div>
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</div>
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</div>
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);
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};
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export default ParabolaWidget; |