Created
January 4, 2023 08:36
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try to get a fraction of a number
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// fraction gets up/down from a number | |
function fraction(v: number, { precise = 5, tries = 100 }): string { | |
const [ul, dl] = [[0, 1], [1, 0]]; | |
const max = parseInt((v - Math.floor(v)).toString().substring(2)); | |
let [previous, current] = [NaN]; | |
let c = v; | |
for (let i = 2; i < tries; i++) { | |
const n = Math.floor(c); | |
const uc = n * ul[i - 1] + ul[i - 2]; | |
if (Math.abs(ul[i]) > max) { | |
break; | |
} | |
const dc = n * dl[i - 1] + dl[i - 2]; | |
if (precise && dc.toString().length > precise) { | |
break; | |
} | |
ul[i] = uc; | |
dl[i] = dc; | |
current = uc / dc; | |
if (current === previous || current === v) { | |
break; | |
} | |
previous = current; | |
c = 1 / (c - n); | |
} | |
const i = ul.length - 1; | |
if (i < 2) { | |
return { u: v, d: 1 }; | |
} | |
return { u: ul[i], d: dl[i] }; | |
} | |
// const v = 0.35141581; // 5 * Math.PI / 11; | |
// const precise = 8; | |
// console.log( | |
// fraction(v / Math.PI, { precise }), | |
// v.toPrecision(precise), | |
// (Math.PI * 6525397 / 58335848).toPrecision(precise), | |
// ); |
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