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Failed attempt at toFraction()
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function toFraction(num, opt_precision = 6) { | |
if (num === Math.ceil(num)) { | |
return [num, 1]; | |
} | |
var diff, gcdHelper, | |
mult = num < 0 ? -1 : 1, | |
numerator = 1, denominator = 2, | |
offset = Math.floor(Math.log10(num = Math.abs(num))) + 1, | |
acceptableLoss = Math.pow(10, -opt_precision - 1 - offset), | |
divisor = Math.pow(10, offset); | |
num /= divisor; | |
while (true) { | |
diff = numerator / denominator - num; | |
if (0 <= diff && diff < acceptableLoss) { | |
numerator = numerator * divisor; | |
divisor = 1; | |
if (numerator >= 1 && denominator >= 1) { | |
divisor = numerator; | |
gcdHelper = denominator; | |
while (gcdHelper) { | |
num = divisor; | |
divisor = gcdHelper; | |
gcdHelper = num % gcdHelper; | |
} | |
} | |
return [mult * numerator / divisor, denominator / divisor]; | |
} | |
if (diff < 0) { | |
numerator++; | |
} | |
denominator++; | |
} | |
} |
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console.loadYourJS({ functions: ['gcd', 'fullNumber'] }); | |
//\\ | |
function toFraction(num, opt_precision=6) { | |
if (opt_precision !== ~opt_precision && 1 > opt_precision && opt_precision > 13) { | |
throw new Error('Precision must be an integer between 1 and 15'); | |
} | |
let parts = YourJS.fullNumber(num).match(/^(-?)(\d+)(?:\.(\d+))?$/); | |
let intPart = +parts[2]; | |
let fracPart = +parseInt((parts[3] + '0'.repeat(opt_precision)).slice(0, opt_precision), 10); | |
if (fracPart) { | |
let divisor = Math.pow(10, opt_precision); | |
let denom = YourJS.gcd(fracPart, divisor); | |
divisor /= denom; | |
return [(parts[1] ? -1 : 1) * (divisor * intPart + fracPart / denom), divisor]; | |
} | |
return [intPart, 1]; | |
} | |
//\\ | |
for (var i = 1; i <= 10; i++) { | |
for (var j = 1; j <= 10; j++) { | |
var fraction = toFraction(i / j, 15); | |
console.log(`${i} ÷ ${j} = ${i/j}; ${fraction[0]/fraction[1]} = ${fraction[0]} ÷ ${fraction[1]}`); | |
} | |
} |
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