feat(lessons): add lessons from client db
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186
src/components/lessons/CoordinatePlane.tsx
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186
src/components/lessons/CoordinatePlane.tsx
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import React, { useRef, useState, useEffect } from 'react';
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import { scaleToSvg, scaleFromSvg, round, calculateDistanceSquared } from '../utils/math';
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import { CircleState, Point } from '../types';
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interface CoordinatePlaneProps {
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circle: CircleState;
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point?: Point | null;
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onPointClick?: (p: Point) => void;
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interactive?: boolean;
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showDistance?: boolean;
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mode?: 'view' | 'place_point';
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}
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const CoordinatePlane: React.FC<CoordinatePlaneProps> = ({
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circle,
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point,
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onPointClick,
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showDistance = false,
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mode = 'view'
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}) => {
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const svgRef = useRef<SVGSVGElement>(null);
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const [hoverPoint, setHoverPoint] = useState<Point | null>(null);
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// Viewport settings
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const width = 400;
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const height = 400;
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const range = 10; // -10 to 10
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const tickSpacing = 1;
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// Scales
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const toX = (val: number) => scaleToSvg(val, -range, range, 0, width);
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const toY = (val: number) => scaleToSvg(val, range, -range, 0, height); // Inverted Y for SVG
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const fromX = (px: number) => scaleFromSvg(px, -range, range, 0, width);
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const fromY = (px: number) => scaleFromSvg(px, range, -range, 0, height);
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const cx = toX(circle.h);
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const cy = toY(circle.k);
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// Radius in pixels (assuming uniform aspect ratio)
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const rPx = toX(circle.r) - toX(0);
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const handleMouseMove = (e: React.MouseEvent) => {
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if (mode !== 'place_point' || !svgRef.current) return;
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const rect = svgRef.current.getBoundingClientRect();
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const rawX = e.clientX - rect.left;
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const rawY = e.clientY - rect.top;
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// Snap to nearest 0.5 for cleaner UX
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const graphX = Math.round(fromX(rawX) * 2) / 2;
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const graphY = Math.round(fromY(rawY) * 2) / 2;
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setHoverPoint({ x: graphX, y: graphY });
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};
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const handleClick = () => {
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if (mode === 'place_point' && hoverPoint && onPointClick) {
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onPointClick(hoverPoint);
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}
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};
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// Generate grid lines
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const ticks = [];
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for (let i = -range; i <= range; i += tickSpacing) {
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if (i === 0) continue; // Skip axes (drawn separately)
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ticks.push(i);
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}
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const dSquared = point ? calculateDistanceSquared(point.x, point.y, circle.h, circle.k) : 0;
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const isInside = dSquared < circle.r * circle.r;
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const isOn = Math.abs(dSquared - circle.r * circle.r) < 0.01;
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const pointColor = isOn ? 'text-yellow-600' : isInside ? 'text-green-600' : 'text-red-600';
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const pointFill = isOn ? '#ca8a04' : isInside ? '#16a34a' : '#dc2626';
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return (
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<div className="flex flex-col items-center">
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<div className="relative shadow-lg rounded-xl overflow-hidden bg-white border border-slate-200">
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<svg
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ref={svgRef}
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width={width}
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height={height}
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onMouseMove={handleMouseMove}
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onMouseLeave={() => setHoverPoint(null)}
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onClick={handleClick}
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className={`${mode === 'place_point' ? 'cursor-crosshair' : 'cursor-default'}`}
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>
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{/* Grid Background */}
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{ticks.map(t => (
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<React.Fragment key={t}>
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<line x1={toX(t)} y1={0} x2={toX(t)} y2={height} stroke="#e2e8f0" strokeWidth="1" />
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<line x1={0} y1={toY(t)} x2={width} y2={toY(t)} stroke="#e2e8f0" strokeWidth="1" />
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</React.Fragment>
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))}
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{/* Axes */}
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<line x1={toX(0)} y1={0} x2={toX(0)} y2={height} stroke="#64748b" strokeWidth="2" />
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<line x1={0} y1={toY(0)} x2={width} y2={toY(0)} stroke="#64748b" strokeWidth="2" />
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{/* Circle */}
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<circle
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cx={cx}
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cy={cy}
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r={Math.abs(rPx)}
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fill="rgba(99, 102, 241, 0.1)"
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stroke="#4f46e5"
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strokeWidth="3"
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className="transition-all duration-300 ease-out"
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/>
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{/* Center Point */}
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<circle cx={cx} cy={cy} r={4} fill="#4f46e5" />
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<text x={cx + 8} y={cy - 8} fontSize="12" fill="#4f46e5" fontWeight="bold">Center ({circle.h}, {circle.k})</text>
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{/* Radius Line (only if distance line is not active to avoid clutter) */}
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{!point && (
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<line
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x1={cx}
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y1={cy}
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x2={cx + rPx}
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y2={cy}
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stroke="#4f46e5"
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strokeWidth="2"
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strokeDasharray="5,5"
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/>
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)}
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{!point && (
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<text x={cx + rPx/2} y={cy - 5} fontSize="12" fill="#4f46e5">r = {circle.r}</text>
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)}
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{/* Placed Point */}
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{point && (
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<>
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<line
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x1={cx}
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y1={cy}
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x2={toX(point.x)}
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y2={toY(point.y)}
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stroke="#94a3b8"
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strokeWidth="2"
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strokeDasharray="4,4"
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/>
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<circle cx={toX(point.x)} cy={toY(point.y)} r={6} fill={pointFill} stroke="white" strokeWidth="2" />
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<text x={toX(point.x) + 8} y={toY(point.y) - 8} fontSize="12" fontWeight="bold" fill={pointFill}>
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({point.x}, {point.y})
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</text>
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</>
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)}
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{/* Hover Ghost Point */}
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{mode === 'place_point' && hoverPoint && !point && (
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<circle cx={toX(hoverPoint.x)} cy={toY(hoverPoint.y)} r={4} fill="rgba(0,0,0,0.3)" />
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)}
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</svg>
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<div className="absolute bottom-2 left-2 text-xs text-slate-400 bg-white/80 px-2 py-1 rounded">
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1 unit = {width / (range * 2)}px
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</div>
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</div>
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{/* Info Panel below graph */}
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{point && showDistance && (
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<div className={`mt-4 p-4 rounded-lg border-l-4 w-full max-w-md bg-white shadow-sm transition-colors ${
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isOn ? 'border-yellow-500 bg-yellow-50' :
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isInside ? 'border-green-500 bg-green-50' :
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'border-red-500 bg-red-50'
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}`}>
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<div className="flex justify-between items-center mb-2">
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<span className="font-bold text-slate-700">Distance Check:</span>
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<span className={`px-2 py-0.5 rounded text-sm font-bold uppercase ${
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isOn ? 'bg-yellow-200 text-yellow-800' :
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isInside ? 'bg-green-200 text-green-800' :
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'bg-red-200 text-red-800'
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}`}>
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{isOn ? 'On Circle' : isInside ? 'Inside' : 'Outside'}
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</span>
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</div>
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<div className="font-mono text-sm space-y-1">
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<p>d² = (x - h)² + (y - k)²</p>
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<p>d² = ({point.x} - {circle.h})² + ({point.y} - {circle.k})²</p>
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<p>d² = {round(calculateDistanceSquared(point.x, point.y, circle.h, circle.k))} <span className="mx-2 text-slate-400">vs</span> r² = {circle.r * circle.r}</p>
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</div>
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</div>
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)}
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</div>
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);
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};
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export default CoordinatePlane;
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