From b038e5b22d8f4b3628ca10399718862fb170e604 Mon Sep 17 00:00:00 2001 From: Nathan Newton Thurber Date: Wed, 8 Jan 2025 16:03:09 +0700 Subject: [PATCH 1/2] Added Julia --- games/julia.js | 357 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 357 insertions(+) create mode 100644 games/julia.js diff --git a/games/julia.js b/games/julia.js new file mode 100644 index 0000000000..9a8e6191ba --- /dev/null +++ b/games/julia.js @@ -0,0 +1,357 @@ +/* +@title: Julia Set +@author: Nathan +@tags: ['sandbox','simulation'] +@addedOn: 2025-01-08 +Instructions: +Explore different Julia Sets + +Controls: + w - Move up + s - Move down + a - Move left + d - Move right + + j, l - Change between modes: zoom, resolution, and julia position + + Mode: Zoom + i - Zoom in + k - Zoom out + + Mode: Resolution + i - Increase resolution (Worse performance) + k - Decrease resoltuion (Better performance) + + Mode: Julia position + w,a,s,d - Move position +*/ + +let n; + +const a = "0"; +const b = "1"; +const c = "2"; +const d = "3"; +const e = "4"; +const f = "5"; +const g = "6"; + +let res = 32 /* * 1.25 */ +let max = res +let xoff = 0 +let yoff = 0 + +let maxiter = 64 + +let resfac = 1.25 +let movefac = 0.2 +let zoomfac = 0.2 + +let mode = "zoom" + +let posFac = 0.01 + +setLegend( + [ a, bitmap` +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000 +0000000000000000`], + [ b, bitmap` +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444 +4444444444444444`], + [ c, bitmap` +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333 +3333333333333333`], + [ d, bitmap` +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555 +5555555555555555`], + [ e, bitmap` +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666 +6666666666666666`], + [ f, bitmap` +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777 +7777777777777777`], + [ g, bitmap` +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888 +8888888888888888`] +); + +class Complex { + constructor(r, i) { + this.r = r; + this.i = i; + } + add(other) { + return new Complex(this.r + other.r, this.i + other.i); + } + abs() { + return Math.sqrt(Math.pow(this.r, 2) + Math.pow(this.i, 2)) + } + square() { + return new Complex((this.r * this.r) - (this.i * this.i), (this.r * this.i) + (this.i * this.r)); + } +} + +function julia(x, y) { + let c = juliaPos + let n = 0 + let z = new Complex(x, y) + while (z.abs() <= 2 && n < (Math.log2(max) * 32)) { + z = c.add(z.square()) + n += 1 + } + return [n, z.abs()] +} + +let juliaPos = new Complex(0.5, 0.5) + +function render() { + var screen = `` + + for (let x = 0; x < res; x++) { + for (let y = 0; y < res; y++) { + n = julia(((y / max) * 2) - 1.35 - xoff, ((x / max) * 2) - 1 - yoff) + if (n[1] < 2) { + screen += "0" + } else if (n[0] > 64 * 0.6) { + screen += "2" + } else if (n[0] > 64 * 0.4) { + screen += "5" + } else if (n[0] > 64 * 0.3) { + screen += "3" + } else if (n[0] > 64 * 0.2) { + screen += "6" + } else if (n[0] > 64 * 0.1) { + screen += "4" + } else { + screen += "5" + } + + } + screen += "\n" + + } + setMap(screen); + clearText() + if (mode == "zoom") { + addText("Zoom: 2^" + Math.log2(1 / (res/max)), { + x: 2, + y: 0, + color: color`0` + }) + } else if (mode == "resolution") { + addText("Res: " + Math.round(res * 1000) / 1000, { + x: 2, + y: 0, + color: color`0` + }) + } else if (mode == "julia pos") { + addText("Pos: " + juliaPos.r + "+" + juliaPos.i + "i", { + x: 2, + y: 0, + color: color`0` + }) + } + + addText("Mode: " + mode, { + x: 2, + y: 15, + color: color`0` + }) +} +render() + +//move +onInput("w", () => { + if (mode != "julia pos") { + yoff += movefac * (res/max) + } else { + juliaPos.i += posFac + juliaPos.i = Math.round(juliaPos.i * 100) / 100 + } + render() +}) + +onInput("s", () => { + if (mode != "julia pos") { + yoff -= movefac * (res/max) + } else { + juliaPos.i -= posFac + juliaPos.i = Math.round(juliaPos.i * 100) / 100 + } + render() +}) + +onInput("a", () => { + if (mode != "julia pos") { + xoff += movefac * (res/max) + } else { + juliaPos.r -= posFac + juliaPos.r = Math.round(juliaPos.r * 100) / 100 + } + render() +}) + +onInput("d", () => { + if (mode != "julia pos") { + xoff -= movefac * (res/max) + } else { + juliaPos.r += posFac + juliaPos.r = Math.round(juliaPos.r * 100) / 100 + } + render() +}) + +onInput("i", () => { //zoom, increase detail, or change julia position + if (mode == "zoom") { + max *= 2 + yoff -= 1 * (res/max) + xoff -= 1 * (res/max) + } else if (mode == "resolution") { + res *= resfac + max *= resfac + } else if (mode == "julia pos") { + posFac += 0.01 + posFac = Math.min(0.1, posFac) + } + + render() +}) + +onInput("k", () => { //zoom, increase detail, or change julia position + if (mode == "zoom") { + max *= 0.5 + yoff += 0.5 * (res/max) + xoff += 0.5 * (res/max) + } else if (mode == "resolution") { + res /= resfac + max /= resfac + } else if (mode == "julia pos") { + posFac -= 0.01 + posFac = Math.max(0.01, posFac) + + } + + render() +}) + +onInput("j", () => { //change mode + if (mode == "zoom") { + mode = "resolution" + } else if (mode == "resolution") { + mode = "julia pos" + } else if (mode == "julia pos") { + mode = "zoom" + } + + render() +}) + +onInput("l", () => { //change mode + if (mode == "zoom") { + mode = "julia pos" + } else if (mode == "resolution") { + mode = "zoom" + } else if (mode == "julia pos") { + mode = "resolution" + } + + render() +}) From 72b4f57e8973524159a703f851ab59426ecd89fd Mon Sep 17 00:00:00 2001 From: Nathan 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