fractal terrain
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// Forked from "fractal terrain" by ge1doot // https://turtletoy.net/turtle/20906ce329 const mirrors = 8; //min=2 max=30 step=1 // You can find the Turtle API reference here: https://turtletoy.net/syntax Canvas.setpenopacity(1); // Global code will be evaluated once. const turtle = new Kaleidoscope(0, 0, mirrors); //const turtle = new Turtle(); turtle.penup(); ///////////////////////////////////// const size = 512; // try 256 or 128 const water = 4; // 0 for no water let randomLevel = 60; let seed = (Math.random() * 100000) | 0; ///////////////////////////////////// console.log("seed: " + seed); function random () { seed = (seed * 16807) % 2147483647; return (seed - 1) / 2147483646; } const hmap = []; for (let i = 0; i <= size; i++) hmap[i] = new Float32Array(size + 1); const nbits = size.toString(2).length - 1; const rnd = () => randomLevel * (-1 + 2 * random()); let t = 1; let x = size / 2; for (let s = 1; s <= nbits; s++) { for (let v = 0; v <= size; v += 2 * x) { for (let n = 1; n <= t; n += 2) { hmap[n * x][v] = ((hmap[(n - 1) * x][v] + hmap[(n + 1) * x][v]) / 2) + rnd(); hmap[v][n * x] = ((hmap[v][(n - 1) * x] + hmap[v][(n + 1) * x]) / 2) + rnd(); } } for (let n = 1; n <= t; n += 2) { for (let m = 1; m <= t; m += 2) { hmap[n * x][m * x] = (0.25 * ( hmap[n * x + x][m * x] + hmap[n * x - x][m * x] + hmap[n * x][m * x + x] + hmap[n * x][m * x - x]) ) + rnd(); } } t = 2 * t + 1; x /= 2; randomLevel /= 2; } for (let w = 0; w <= size; w++) { for (let z = 0; z <= size; z++) { if (hmap[w][z] < 0) hmap[w][z] = 0; } } const line = new Float32Array(size + 1); const r = 200 / size; let pen = false; for (let w = 0; w <= size; w++) { let k = 0; pen = false; for (let z = 0; z <= size; z++) { let xe = r * z; let ye = r * 0.66 * w + hmap[z][w] * 1; if (ye <= line[z] || (hmap[z][w] === 0 && w / water !== ((w / water)|0))) { if (pen === true) { turtle.up(); pen = false; } } else { if (pen === false) { pen = true; } turtle.goto(-100 + xe, 100 - ye); turtle.down(); line[z] = ye; } } turtle.up(); } function Kaleidoscope(x, y, mirrors = 4) { function rot2(a) { return [Math.cos(a), -Math.sin(a), Math.sin(a), Math.cos(a)]; } function trans2(m, a) { return [m[0]*a[0]+m[2]*a[1], m[1]*a[0]+m[3]*a[1]]; } function segment_intersect2(a,b,d,c) { const e=(c[1]-d[1])*(b[0]-a[0])-(c[0]-d[0])*(b[1]-a[1]); if(0==e)return false; c=((c[0]-d[0])*(a[1]-d[1])-(c[1]-d[1])*(a[0]-d[0]))/e; d=((b[0]-a[0])*(a[1]-d[1])-(b[1]-a[1])*(a[0]-d[0]))/e; return 0<=c&&1>=c&&0<=d&&1>=d?[a[0]+c*(b[0]-a[0]),a[1]+c*(b[1]-a[1])]:false; } function pointInTriangle(pt, ...v) { const signFn = (p1, p2, p3) => (p1[0] - p3[0]) * (p2[1] - p3[1]) - (p2[0] - p3[0]) * (p1[1] - p3[1]); const signs = v.map((v, i, arr) => signFn(pt, v, arr[(i+1)%arr.length])); return !(signs.reduce((p, c) => p || c < 0, false) && signs.reduce((p, c) => p || c > 0, false)); } class Kaleidoscope extends Turtle { constructor(x, y, n = 4) { super(x, y); this.boundaries = [[0,0], [0, 1000], trans2(rot2(2*Math.PI/(n*2)), [0,1000])]; const rotations = Array.from({length: n}).map((v, i) => { return (pt) => trans2(rot2(i * 2 * Math.PI / n), pt); }); const mirrors = rotations.map(r => (pt) => trans2([-1, 0, 0, 1], r(pt))); this.transforms = [...rotations, ...mirrors]; this.cur = this.pos(); this.curIn = this.inSegment(this.cur); this.turtle = new Turtle(x, y); } inSegment(pt) { return pointInTriangle(pt, ...this.boundaries); } goto(x, y) { const target = Array.isArray(x)? x: [x, y]; const isDown = this.isdown(); const targetIn = this.turtle === undefined? false: this.inSegment(target); if (isDown) { (() => { const bOne = segment_intersect2(this.cur, target, this.boundaries[0], this.boundaries[1]); const bTwo = segment_intersect2(this.cur, target, this.boundaries[0], this.boundaries[2]); debugger; let from = this.cur; let to = target; if(!this.curIn && !targetIn) { if(bOne === false && bTwo === false) return; from = bOne; to = bTwo; } else if(!this.curIn) { from = bOne === false? bTwo: bOne; } else if(!targetIn) { to = bOne === false? bTwo: bOne; } this.transforms.forEach(t => { this.turtle.jump(t(from)); this.turtle.goto(t(to)); }); })(); } this.cur = target; this.curIn = targetIn this.up(); super.goto(x, y); if(isDown) this.down(); } } return new Kaleidoscope(x, y, mirrors) }