I am using an array in order to calculate large powers of 2. The arrays add to each other and afterwords they calculate the carries and loop n-1 amount of times until i end up with the number as an array. I do this in order to avoid the 15 digit limit that JavaScript has.
Everything works fine once i reach n = 42, where the carries start to be overlooked and numbers aren't reduced, producing wrong answers.
I tried changing the method of which the carry is processed inside the while loop from basic addition to integer division and modulus Sounds stupid but i added an extra loop to check if any elements are greater than 10 but it didn't find them.
for (var n = 1; n <= 100; n++) {
for (var i = 0, x = [2]; i < n - 1; i++) { // Loop for amount of times to multiply
x.unshift(0)
for (var j = x.length - 1; j > 0; j--) { // Double each element of the array
x[j] += x[j]
}
for (j = x.length - 1; x[j] > 0; j--) { // Check if element >= 10 and carry
while (x[j] >= 10) {
x[j - 1] += Math.floor(x[j] / 10)
x[j] = x[j] % 10
}
}
if (x[0] === 0) {
x.shift()
}
}
console.log('N: ' + n + ' Array: ' + x)
}
The expected results are that each element in the array will be reduced into a single number and will "carry" onto the element to its left like :
N: 1 Array: 2
N: 2 Array: 4
N: 3 Array: 8
N: 4 Array: 1,6
N: 5 Array: 3,2
N: 6 Array: 6,4
but starting at n=42 carries get bugged looking like this:
N: 42 Array: 4,2,18,18,0,4,6,5,1,1,1,0,4
N: 43 Array: 8,4,36,36,0,8,12,10,2,2,2,0,8
N: 44 Array: 1,7,5,9,2,1,8,6,0,4,4,4,1,6
N: 45 Array: 2,14,10,18,4,2,16,12,0,8,8,8,3,2
N: 46 Array: 7,0,3,6,8,7,4,4,1,7,7,6,6,4
N: 47 Array: 14,0,7,3,7,4,8,8,3,5,5,3,2,8
What's the error that could be throwing it off like this?
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