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| 323a767abc | |||
| 542b72b6a8 | |||
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| e0d88e6653 |
@ -19,6 +19,16 @@ npm run build
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npm run preview
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```
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## Scripts
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The `script/` folder contains utility scripts for development:
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- **screenshot**: Captures a screenshot of the running dev server (localhost:5173) using Chrome headless mode
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- Outputs to `screenshot.png` in the project root
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- Requires Chrome/Chromium to be installed
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- Dev server must be running before executing
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- Usage: `./script/screenshot`
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## Architecture
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### Application Structure
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@ -2,6 +2,8 @@
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An interactive geometric visualization tool that demonstrates rectangle area calculations and their relationship to a line segment.
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## Use Case
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This tool provides a visual and interactive way to understand how moving a point affects the areas of rectangles formed with fixed anchor points. It's useful for:
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@ -17,8 +19,8 @@ The visualization displays:
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- **Point C** at (6, 7) - top-right anchor point
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- **Point B** - movable point that follows your mouse cursor
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- **Line segment AC** - connecting the two fixed points
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- **Blue rectangle** - formed by points B and C
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- **Red rectangle** - formed by points B and A
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- **Blue rectangle** - formed by point B and (cx, ay) = (6, 1)
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- **Red rectangle** - formed by point B and (ax, cy) = (1, 7)
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As you move your mouse over the canvas, point B follows the cursor, and the application:
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1. Calculates the width and height of both rectangles in real-time
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@ -56,7 +58,7 @@ npm run preview
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## Interface
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The canvas displays an 8×8 grid where each cell is 40 pixels. Move your mouse over the grid to control point B and watch the rectangle areas update in real-time below the visualization.
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The canvas displays an 8x8 grid where each cell is 40 pixels. Move your mouse over the grid to control point B and watch the rectangle areas update in real-time below the visualization.
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The calculation cards show:
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- Current position of point B
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BIN
line-segment-intersection/screenshot.png
Normal file
BIN
line-segment-intersection/screenshot.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 38 KiB |
7
line-segment-intersection/script/screenshot
Executable file
7
line-segment-intersection/script/screenshot
Executable file
@ -0,0 +1,7 @@
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#!/bin/bash
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set -e
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google-chrome --headless --disable-gpu \
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--screenshot=$(pwd)/screenshot.png --window-size=1280,900 \
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http://localhost:5173 2>/dev/null
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@ -8,6 +8,7 @@
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const HEIGHT = 320;
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let userPoint = { x: 5, y: 2 };
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let trackHover = true;
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// Rectangle coordinates
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const blueRect = { x1: 6, y1: 1 }; // Blue rectangle corner
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@ -50,16 +51,46 @@
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const width = Math.abs(corner2.x - corner1.x);
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const height = Math.abs(corner2.y - corner1.y);
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ctx.beginPath();
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ctx.roundRect(x, y, width, height, 1);
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ctx.fillStyle = color;
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ctx.fillRect(x, y, width, height);
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ctx.fill();
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// Add border
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ctx.strokeStyle = color.replace('0.3', '0.8'); // Make border more opaque
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ctx.lineWidth = 2;
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ctx.stroke();
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}
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function handleMouseMove(event) {
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if (!trackHover) return;
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const rect = canvas.getBoundingClientRect();
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const mouseX = event.clientX - rect.left;
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const mouseY = event.clientY - rect.top;
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userPoint = toCartesianCoords(mouseX, mouseY);
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// Add half grid unit offset for snapping to closest grid intersection
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userPoint = {
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x: Math.floor((mouseX + GRID_SIZE / 2) / GRID_SIZE),
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y: Math.floor((HEIGHT - mouseY + GRID_SIZE / 2) / GRID_SIZE)
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};
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}
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function handleCanvasClick(event) {
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// If we're about to turn off tracking, update position one last time
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if (trackHover) {
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const rect = canvas.getBoundingClientRect();
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const mouseX = event.clientX - rect.left;
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const mouseY = event.clientY - rect.top;
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// Add half grid unit offset for snapping to closest grid intersection
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userPoint = {
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x: Math.floor((mouseX + GRID_SIZE / 2) / GRID_SIZE),
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y: Math.floor((HEIGHT - mouseY + GRID_SIZE / 2) / GRID_SIZE)
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};
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}
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trackHover = !trackHover;
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}
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function toCanvasCoords(x, y) {
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@ -194,27 +225,27 @@
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<main>
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<h1>Line Segment Intersection</h1>
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<div class="canvas-container">
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<canvas bind:this={canvas} width={WIDTH} height={HEIGHT} on:mousemove={handleMouseMove}></canvas>
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<canvas bind:this={canvas} width={WIDTH} height={HEIGHT} on:mousemove={handleMouseMove} on:click={handleCanvasClick}></canvas>
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</div>
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<div class="calculations">
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<h2>Rectangle Areas</h2>
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<p class="point-c">Point B: ({userPoint.x.toFixed(2)}, {userPoint.y.toFixed(2)})</p>
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<p class="point-c">Point B: ({userPoint.x}, {userPoint.y})</p>
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<div class="rect-calc blue" class:largest={blueArea > redArea}>
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<h3>Blue Rectangle</h3>
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<p>Corner: ({blueRect.x1}, {blueRect.y1})</p>
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<p>Width = |{blueRect.x1} - {userPoint.x.toFixed(2)}| = {blueWidth.toFixed(2)}</p>
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<p>Height = |{blueRect.y1} - {userPoint.y.toFixed(2)}| = {blueHeight.toFixed(2)}</p>
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<p class="area">Area = {blueWidth.toFixed(2)} × {blueHeight.toFixed(2)} = <strong>{blueArea.toFixed(2)}</strong></p>
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<p>Width = |{blueRect.x1} - {userPoint.x}| = {blueWidth}</p>
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<p>Height = |{blueRect.y1} - {userPoint.y}| = {blueHeight}</p>
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<p class="area">Area = {blueWidth} x {blueHeight} = <strong>{blueArea}</strong></p>
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</div>
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<div class="rect-calc red" class:largest={redArea > blueArea}>
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<h3>Red Rectangle</h3>
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<p>Corner: ({redRect.x1}, {redRect.y1})</p>
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<p>Width = |{redRect.x1} - {userPoint.x.toFixed(2)}| = {redWidth.toFixed(2)}</p>
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<p>Height = |{redRect.y1} - {userPoint.y.toFixed(2)}| = {redHeight.toFixed(2)}</p>
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<p class="area">Area = {redWidth.toFixed(2)} × {redHeight.toFixed(2)} = <strong>{redArea.toFixed(2)}</strong></p>
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<p>Width = |{redRect.x1} - {userPoint.x}| = {redWidth}</p>
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<p>Height = |{redRect.y1} - {userPoint.y}| = {redHeight}</p>
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<p class="area">Area = {redWidth} x {redHeight} = <strong>{redArea}</strong></p>
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</div>
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</div>
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</main>
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@ -240,6 +271,7 @@
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canvas {
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display: block;
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cursor: pointer;
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}
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.calculations {
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@ -1,10 +0,0 @@
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<script>
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let count = $state(0)
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const increment = () => {
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count += 1
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}
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</script>
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<button onclick={increment}>
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count is {count}
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</button>
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