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// Utils | |
const range = n => [...Array(n).keys()]; | |
const add = ([x0, y0]) => ([x1, y1]) => [x0 + x1, y0 + y1]; | |
const rotate = θ => ([x, y]) => [ | |
Math.round(x * Math.cos(θ) - y * Math.sin(θ)), | |
Math.round(x * Math.sin(θ) + y * Math.cos(θ)) | |
]; | |
const map = f => g => | |
function*() { | |
for (const v of g()) { | |
yield f(v); | |
} | |
}; | |
// Implementation | |
const spiralOut = i => { | |
const n = Math.floor(i / 2) + 1; | |
const leg = range(n).map(x => [x, 0]); | |
const transform = p => add([n, 0])(rotate(-Math.PI / 2)(p)); | |
return function*() { | |
yield* leg; | |
yield* map(transform)(spiralOut(i + 1))(); | |
}; | |
}; | |
const spiralIn = ([w, h]) => { | |
const leg = range(w).map(x => [x, 0]); | |
const transform = p => add([w - 1, 1])(rotate(Math.PI / 2)(p)); | |
return w * h === 0 | |
? function*() {} | |
: function*() { | |
yield* leg; | |
yield* map(transform)(spiralIn([h - 1, w]))(); | |
}; | |
}; | |
let i = 0; | |
for (let p of spiralOut(0)()) { | |
if (i++ > 30) break; | |
console.log(p); | |
} |
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