Develop Reference

C++ to javascript conversion

The question I'm doing is:
Write a JavaScript program to create a function which returns the number of times required to replace a given number with the sum of its digits until it converts to a single digit number. Like if given number is 123, number of times required to convert it into a single digit number is 1 (1+2+3=6). Your output code should be in the format console.log("Result is ", variableName)
I could not find the solution to this problem so I googled it and found this page.
The code on this page is in C/C++ ,Java etc...I took the C++ code and tried to convert it to javascript myself and this is the result:
var num=prompt("Enter a number");
var a= num.toString();
function test(x)
{var temporary_sum = 0, count = 0;
while (x.length() > 1)
{
temporary_sum = 0;
// computing sum of its digits
for (var i = 0; i < x.length(); i++)
temporary_sum += ( x[ i ] - '0' ) ;
// converting temporary_sum into string
// x again .
x = temporary_sum.toString() ;
// increase the count
count++;
}
return count;
}
var output = test(a) ;
console.log("Result is: ", output);
This code does not give any output at all. How can I fix this? Is there a better way to do this question?

Here is a better way to do that using recursion. And reduce
function test(x,count=0){
if(String(x).length === 1) return count;
let sum = String(x).split('').reduce((ac,a) => Number(a) + ac,0);
return test(sum,++count);
}
console.log(test(123)) //1
console.log(test(456)) //2
console.log(test(99999999999)) //3

I'll answer your last question - yes, there is a better way to do this question. You want to use recursion. You can also split the string on '' to convert its digits into an array, and you want to use parseInt to turn it back into a number.

I will use a different approach (I don't say it would be better). First, I will skip the mapping from number to string and wraps the logic that sums the digits of some number into a function called sumDigits(). This way you have a resusable method you can use for other purposes later. The second step is to define your test function using the previously created sumDigits mainly using the while loop you already have but testing with another condition and generalized to accept also integer negative numbers:
const sumDigits = (num) =>
{
let sum = 0;
while (num)
{
sum += num % 10, num = Math.floor(num / 10);
}
return sum;
}
const test = (num) =>
{
let counter = 0;
num = Math.abs(num);
while (num >= 10)
{
num = sumDigits(num), counter++;
}
return counter;
}
console.log(test(123));
console.log(test(456));
console.log(test(-789));

Javascript format a decimal number to tree numbers after decimal

How can I format numbers like
0.00012006 to 0.00012
0.00004494 to 0.0000449
0.000000022732 to 0.0000000227 without becoming a number like 2.3e-8
I would like to know how I can change numbers like that in a fast/efficient way.
I would like to know how to convert those numbers but if someone knows how to format it only like that, I would like to know that too.

Use yourNumber.toFixed(numberOfDigitsAfterDot) like this:
function format(n) {
var _n = n;
// count the position of the first decimal
var count = 0;
do {
n = n * 10;
count++;
} while(n < 1);
return _n.toFixed(count + 2);
}
var num = 0.000000022732;
console.log(format(num));

You coud get the places of the number and add 2 on it for toFixed.
function three(v) {
var n = Math.floor(Math.log(v) / Math.LN10);
return v.toFixed(n < 2 ? 2 - n : 0);
}
var n = [0.00012006, 0.00004494, 0.000000022732, 0.100101, 0.1100001, 1.000001, 12000, 10, 1e10];
console.log(n.map(three));

How do i replace the first number?

I believe that it is simple, but currently it isn't working for me... Look what I need below:
seed = 9999;
seed[0] = 1;
seed; //now it's returning 9999, but I want 1999
There are another way to do?

seed is a Number, not a string. You either have to use it as string:
seed='9999';
seed[0]='1';
console.log(seed)//'1999'
Or you can apply a quick fix:
seed=9999;
seed-=8000;
console.log(seed)//1999
Update
You could also make a class to manage the number i that way:
function numArr() {
this.arr = [];
this.setNum = function (num) {
this.arr = [];
while (num > 10) {//while has digits left
this.arr.unshift(num % 10);//add digit to array
num = Math.floor(num / 10);//remove last digit from num
}
this.arr.unshift(num)//add the remaining digit
};
this.getNum = function () {
var num = 0;
for (var i = this.arr.length - 1; i >= 0; i--) {//for each digit
num += this.arr[i] * Math.pow(10, (this.arr.length - 1 - i))//add the digit*units
}
return num;
}
}
var seed= new numArr();
seed.setNum(9960);
seed.arr[0]=1;
console.log(seed.getNum())//1960
seed.setNum(seed.getNum()+1000);
console.log(seed.getNum())//2960

You can use regex like:
"9999".replace(/[\d]/,"1")
Disclaimer: I am offering an alternate view to problem but of course there is various options to resolve it.

As is mentioned above the seed is a number not an array ,so you can't do it as you doing it. Look at this:
var seed = (9999 + "").split(""), // Convert the number to string and split it
seed = ~~(seed[0] = "1", seed.join("")); // Now you can change the first digit then join it back to a string a if you want to you can also convert it back to number
console.log(seed); // 1999

try this
seed = 9999;
seed = seed.toString()
seed= 1+seed.substr(1, seed.length);
alert(seed);

seed = 9999;
var len = seed.toString().length;
var seedAllDigits = seed % (Math.pow(10,len-1));
var finalSeed = "1" + seedAllDigit;
Somethink like this will do the work..
Hope it make sense

9999 % 1000 + 1000 * 1 == 1999;

Fibonacci Sequence - Find the number of digits - JavaScript

So, I have successfully written the Fibonacci sequence to create an array with the sequence of numbers, but I need to know the length (how many digits) the 500th number has.
I've tried the below code, but its finding the length of the scientific notation (22 digits), not the proper 105 it should be returning.
Any ideas how to convert a scientific notation number into an actual integer?
var fiblength = function fiblength(nth) {
var temparr = [0,1];
for(var i = 2; i<=nth; i++){
var prev = temparr[temparr.length-2],
cur = temparr[temparr.length-1],
next = prev + cur;
temparr.push(next);
}
var final = temparr[temparr.length-1].toString().length;
console.log(temparr[temparr.length-1]);
return final;
};
a = fiblength(500);
console.log(a);

Why not use the simple procedure of dividing the number by 10 until the number is less than 1.
Something as simple as this should work (a recursive def obv works as well)
function getDigits(n) {
var digits = 0;
while(n >= 1) {
n/=10;
digits += 1;
}
return digits;
}
getDigits(200);//3
getDigits(3.2 * 10e20);//=>22

Here's a solution in constant time:
function fiblength(n) {
return Math.floor((n>1)?n*.2089+.65051:1);
}
Let's explain how I arrived to it.
All previous solutions will probably not work for N>300 unless you have a BigNumber library in place. Also they're pretty inneficient.
There is a formula to get any Fibonacci number, which uses PHI (golden ratio number), it's very simple:
F(n) = ABS((PHI^n)/sqrt(5))
Where PHI=1.61803399 (golden ratio, found all over the fibonacci sequence)
If you want to know how many digits a number has, you calculate the log base 10 and add 1 to that. Let's call that function D(n) = log10(n) + 1
So what you want fiblength to be is in just the following function
fiblength(n) = D(F(n)) // number of digits of a fibonacci number...
Let's work it out, so you see what the one liner code will be like once you use math.
Substitute F(n)
fiblength(n) = D(ABS((PHI^n)/sqrt(5)))
Now apply D(n) on that:
fiblength(n) = log10(ABS((PHI^n)/sqrt(5))) + 1
So, since log(a/b) = log(a) - log(b)
fiblength(n) = log10(ABS((PHI^n))) - log10(sqrt(5))) + 1
and since log(a^n) = n * log(a)
fiblength(n) = n*log10(PHI) - log10(sqrt(5))) + 1
Then we evaluate those logarithms since they're all on constants
and add the special cases of n=0 and n=1 to return 1
function fiblength(n) {
return Math.floor((n>1)?n*.2089+.65051:1);
}
Enjoy :)
fiblength(500) => 105 //no iterations necessary.

Most of the javascript implementations, internally use 64 bit numbers. So, if the number we are trying to represent is very big, it uses scientific notation to represent those numbers. So, there is no pure "javascript numbers" based solution for this. You may have to look for other BigNum libraries.
As far as your code is concerned, you want only the 500th number, so you don't have to store the entire array of numbers in memory, just previous and current numbers are enough.
function fiblength(nth) {
var previous = 0, current = 1, temp;
for(var i = 2; i<=nth; i++){
temp = current;
current = previous + current;
previous = temp;
}
return current;
};

My Final Solution
function fiblength(nth) {
var a = 0, b = 1, c;
for(var i=2;i<=nth;i++){
c=b;
b=a+b;
a=c;
}
return Math.floor(Math.log(b)/Math.log(10))+1;
}
console.log(fiblength(500));
Thanks for the help!!!

The problem is because the resulting number was converted into a string before any meaningful calculations could be made. Here's how it could have been solved in the original code:
var fiblength = function fiblength(nth) {
var temparr = [0,1];
for(var i = 2; i<=nth; i++){
var prev = temparr[temparr.length-2],
cur = temparr[temparr.length-1],
next = prev + cur;
temparr.push(next);
}
var x = temparr[temparr.length-1];
console.log(x);
var length = 1;
while (x > 1) {
length = length + 1;
x = x/10;
}
return length;
};
console.log ( fiblength(500) );

How can I find the length of a number?

I'm looking to get the length of a number in JavaScript or jQuery?
I've tried value.length without any success, do I need to convert this to a string first?

var x = 1234567;
x.toString().length;
This process will also work forFloat Number and for Exponential number also.

Ok, so many answers, but this is a pure math one, just for the fun or for remembering that Math is Important:
var len = Math.ceil(Math.log(num + 1) / Math.LN10);
This actually gives the "length" of the number even if it's in exponential form. num is supposed to be a non negative integer here: if it's negative, take its absolute value and adjust the sign afterwards.
Update for ES2015
Now that Math.log10 is a thing, you can simply write
const len = Math.ceil(Math.log10(num + 1));

Could also use a template string:
const num = 123456
`${num}`.length // 6

You have to make the number to string in order to take length
var num = 123;
alert((num + "").length);
or
alert(num.toString().length);

I've been using this functionality in node.js, this is my fastest implementation so far:
var nLength = function(n) {
return (Math.log(Math.abs(n)+1) * 0.43429448190325176 | 0) + 1; 
}
It should handle positive and negative integers (also in exponential form) and should return the length of integer part in floats.
The following reference should provide some insight into the method:
Weisstein, Eric W. "Number Length." From MathWorld--A Wolfram Web Resource.
I believe that some bitwise operation can replace the Math.abs, but jsperf shows that Math.abs works just fine in the majority of js engines.
Update: As noted in the comments, this solution has some issues :(
Update2 (workaround) : I believe that at some point precision issues kick in and the Math.log(...)*0.434... just behaves unexpectedly. However, if Internet Explorer or Mobile devices are not your cup of tea, you can replace this operation with the Math.log10 function. In Node.js I wrote a quick basic test with the function nLength = (n) => 1 + Math.log10(Math.abs(n) + 1) | 0; and with Math.log10 it worked as expected. Please note that Math.log10 is not universally supported.

There are three way to do it.
var num = 123;
alert(num.toString().length);
better performance one (best performance in ie11)
var num = 123;
alert((num + '').length);
Math (best performance in Chrome, firefox but slowest in ie11)
var num = 123
alert(Math.floor( Math.log(num) / Math.LN10 ) + 1)
there is a jspref here
http://jsperf.com/fastest-way-to-get-the-first-in-a-number/2

You should go for the simplest one (stringLength), readability always beats speed. But if you care about speed here are some below.
Three different methods all with varying speed.
// 34ms
let weissteinLength = function(n) {
return (Math.log(Math.abs(n)+1) * 0.43429448190325176 | 0) + 1;
}
// 350ms
let stringLength = function(n) {
return n.toString().length;
}
// 58ms
let mathLength = function(n) {
return Math.ceil(Math.log(n + 1) / Math.LN10);
}
// Simple tests below if you care about performance.
let iterations = 1000000;
let maxSize = 10000;
// ------ Weisstein length.
console.log("Starting weissteinLength length.");
let startTime = Date.now();
for (let index = 0; index < iterations; index++) {
weissteinLength(Math.random() * maxSize);
}
console.log("Ended weissteinLength length. Took : " + (Date.now() - startTime ) + "ms");
// ------- String length slowest.
console.log("Starting string length.");
startTime = Date.now();
for (let index = 0; index < iterations; index++) {
stringLength(Math.random() * maxSize);
}
console.log("Ended string length. Took : " + (Date.now() - startTime ) + "ms");
// ------- Math length.
console.log("Starting math length.");
startTime = Date.now();
for (let index = 0; index < iterations; index++) {
mathLength(Math.random() * maxSize);
}

First convert it to a string:
var mynumber = 123;
alert((""+mynumber).length);
Adding an empty string to it will implicitly cause mynumber to turn into a string.

Well without converting the integer to a string you could make a funky loop:
var number = 20000;
var length = 0;
for(i = number; i > 1; ++i){
++length;
i = Math.floor(i/10);
}
alert(length);​
Demo: http://jsfiddle.net/maniator/G8tQE/

I got asked a similar question in a test.
Find a number's length without converting to string
const numbers = [1, 10, 100, 12, 123, -1, -10, -100, -12, -123, 0, -0]
const numberLength = number => {
let length = 0
let n = Math.abs(number)
do {
n /= 10
length++
} while (n >= 1)
return length
}
console.log(numbers.map(numberLength)) // [ 1, 2, 3, 2, 3, 1, 2, 3, 2, 3, 1, 1 ]
Negative numbers were added to complicate it a little more, hence the Math.abs().

I'm perplex about converting into a string the given number because such an algorithm won't be robust and will be prone to errors: it will show all its limitations especially in case it has to evaluate very long numbers. In fact before converting the long number into a string it will "collapse" into its exponential notation equivalent (example: 1.2345e4). This notation will be converted into a string and this resulting string will be evaluated for returning its length. All of this will give a wrong result. So I suggest not to use that approach.
Have a look at the following code and run the code snippet to compare the different behaviors:
let num = 116234567891011121415113441236542134465236441625344625344625623456723423523429798771121411511034412365421344652364416253446253446254461253446221314623879235441623683749283441136232514654296853446323214617456789101112141511344122354416236837492834411362325146542968534463232146172368374928344113623251465429685;
let lenFromMath;
let lenFromString;
// The suggested way:
lenFromMath = Math.ceil(Math.log10(num + 1)); // this works in fact returns 309
// The discouraged way:
lenFromString = String(num).split("").length; // this doesn't work in fact returns 23
/*It is also possible to modify the prototype of the primitive "Number" (but some programmer might suggest this is not a good practice). But this is will also work:*/
Number.prototype.lenght = () => {return Math.ceil(Math.log10(num + 1));}
lenFromPrototype = num.lenght();
console.log({lenFromMath, lenFromPrototype, lenFromString});

A way for integers or for length of the integer part without banal converting to string:
var num = 9999999999; // your number
if (num < 0) num = -num; // this string for negative numbers
var length = 1;
while (num >= 10) {
num /= 10;
length++;
}
alert(length);

I would like to correct the #Neal answer which was pretty good for integers, but the number 1 would return a length of 0 in the previous case.
function Longueur(numberlen)
{
var length = 0, i; //define `i` with `var` as not to clutter the global scope
numberlen = parseInt(numberlen);
for(i = numberlen; i >= 1; i)
{
++length;
i = Math.floor(i/10);
}
return length;
}

To get the number of relevant digits (if the leading decimal part is 0 then the whole part has a length of 0) of any number separated by whole part and decimal part I use:
function getNumberLength(x) {
let numberText = x.toString();
let exp = 0;
if (numberText.includes('e')) {
const [coefficient, base] = numberText.split('e');
exp = parseInt(base, 10);
numberText = coefficient;
}
const [whole, decimal] = numberText.split('.');
const wholeLength = whole === '0' ? 0 : whole.length;
const decimalLength = decimal ? decimal.length : 0;
return {
whole: wholeLength > -exp ? wholeLength + exp : 0,
decimal: decimalLength > exp ? decimalLength - exp : 0,
};
}

var x = 1234567;
String(x).length;
It is shorter than with .toString() (which in the accepted answer).

Try this:
$("#element").text().length;
Example of it in use

Yes you need to convert to string in order to find the length.For example
var x=100;// type of x is number
var x=100+"";// now the type of x is string
document.write(x.length);//which would output 3.