168 lines
4.9 KiB
Plaintext
168 lines
4.9 KiB
Plaintext
// 📊 マンデルブロ集合フラクタル - MathBoxの数学的美しさ
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// WebCanvasBox で複素数計算の視覚化
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print("📊 === Mandelbrot Fractal Generator ===")
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// デバッグシステム
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DEBUG = new DebugBox()
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DEBUG.startTracking()
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// 🔢 複素数Box - 数学的計算をBox化
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box ComplexBox {
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init { real, imaginary }
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ComplexBox(r, i) {
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me.real = r
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me.imaginary = i
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}
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// 複素数の乗算 z * z
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multiply(other) {
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newReal = me.real * other.real - me.imaginary * other.imaginary
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newImag = me.real * other.imaginary + me.imaginary * other.real
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return new ComplexBox(newReal, newImag)
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}
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// 複素数の加算 z + c
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add(other) {
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return new ComplexBox(me.real + other.real, me.imaginary + other.imaginary)
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}
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// 絶対値の2乗（発散判定用）
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magnitudeSquared() {
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return me.real * me.real + me.imaginary * me.imaginary
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}
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}
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// 🎨 フラクタル描画Box
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box MandelbrotBox {
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init { canvas, width, height, maxIterations, zoom, centerX, centerY }
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MandelbrotBox(canvasId, w, h) {
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me.canvas = new WebCanvasBox(canvasId, w, h)
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me.width = w
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me.height = h
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me.maxIterations = 50
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me.zoom = 1.0
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me.centerX = -0.5 // マンデルブロ集合の中心
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me.centerY = 0.0
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DEBUG.trackBox(me, "MandelbrotGenerator")
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}
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// 点がマンデルブロ集合に属するか判定
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mandelbrotIterations(c) {
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z = new ComplexBox(0.0, 0.0) // z0 = 0
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iteration = 0
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loop (iteration < me.maxIterations) {
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// z = z^2 + c の反復計算
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z = z.multiply(z).add(c)
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// 発散判定（|z| > 2）
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if z.magnitudeSquared() > 4.0 {
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return iteration
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}
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iteration = iteration + 1
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}
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return me.maxIterations // 収束（マンデルブロ集合内）
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}
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// 反復回数を色に変換
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getColor(iterations) {
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if iterations == me.maxIterations {
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return "black" // マンデルブロ集合内
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}
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// カラフルなグラデーション
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ratio = iterations / me.maxIterations
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if ratio < 0.25 {
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return "blue"
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} else {
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if ratio < 0.5 {
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return "cyan"
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} else {
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if ratio < 0.75 {
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return "yellow"
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} else {
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return "red"
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}
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}
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}
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}
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// フラクタル描画
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render() {
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print("🎨 Rendering Mandelbrot fractal...")
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print("Zoom: " + me.zoom + ", Center: (" + me.centerX + ", " + me.centerY + ")")
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// 画面の各ピクセルを計算
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y = 0
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loop (y < me.height) {
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x = 0
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loop (x < me.width) {
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// スクリーン座標を複素平面座標に変換
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real = (x - me.width / 2) / (me.width / 4) / me.zoom + me.centerX
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imag = (y - me.height / 2) / (me.height / 4) / me.zoom + me.centerY
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c = new ComplexBox(real, imag)
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iterations = me.mandelbrotIterations(c)
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color = me.getColor(iterations)
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// ピクセル描画
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me.canvas.setFillStyle(color)
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me.canvas.fillRect(x, y, 1, 1)
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x = x + 2 // パフォーマンス向上のため2ピクセル刻み
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}
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y = y + 2
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// 進行状況表示
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if y % 20 == 0 {
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progress = (y * 100) / me.height
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print("Progress: " + progress + "%")
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}
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}
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// 情報表示
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me.canvas.setFillStyle("white")
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me.canvas.fillText("Mandelbrot Set - Zoom: " + me.zoom, 10, 20)
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me.canvas.fillText("Everything is Box Mathematics!", 10, 40)
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}
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// ズームイン
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zoomIn(factor) {
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me.zoom = me.zoom * factor
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}
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// 中心移動
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setCenter(x, y) {
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me.centerX = x
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me.centerY = y
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}
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}
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// 🚀 フラクタル生成開始！
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print("Creating Mandelbrot fractal generator...")
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mandelbrot = new MandelbrotBox("fractal-canvas", 400, 400)
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// 基本フラクタル描画
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mandelbrot.render()
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print("🌟 Generated beautiful Mandelbrot fractal!")
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print("🔢 Complex number calculations with ComplexBox")
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print("🎨 Mathematical art through WebCanvasBox")
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// ズームイン版も生成
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print("📊 Creating zoomed version...")
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mandelbrot.setCenter(-0.8, 0.156) // 興味深い領域
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mandelbrot.zoomIn(2.0)
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mandelbrot.render()
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// 最終レポート
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print(DEBUG.memoryReport())
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print("✨ Mathematics is beautiful with Everything is Box!")
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print("🐱 Complex numbers, iterations, colors - all unified as Boxes!") |