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) );
Related
Can't seem to find an answer to this, say I have this:
setInterval(function() {
m = Math.floor(Math.random()*7);
$('.foo:nth-of-type('+m+')').fadeIn(300);
}, 300);
How do I make it so that random number doesn't repeat itself. For example if the random number is 2, I don't want 2 to come out again.
There are a number of ways you could achieve this.
Solution A:
If the range of numbers isn't large (let's say less than 10), you could just keep track of the numbers you've already generated. Then if you generate a duplicate, discard it and generate another number.
Solution B:
Pre-generate the random numbers, store them into an array and then go through the array. You could accomplish this by taking the numbers 1,2,...,n and then shuffle them.
shuffle = function(o) {
for(var j, x, i = o.length; i; j = parseInt(Math.random() * i), x = o[--i], o[i] = o[j], o[j] = x);
return o;
};
var randorder = shuffle([0,1,2,3,4,5,6]);
var index = 0;
setInterval(function() {
$('.foo:nth-of-type('+(randorder[index++])+')').fadeIn(300);
}, 300);
Solution C:
Keep track of the numbers available in an array. Randomly pick a number. Remove number from said array.
var randnums = [0,1,2,3,4,5,6];
setInterval(function() {
var m = Math.floor(Math.random()*randnums.length);
$('.foo:nth-of-type('+(randnums[m])+')').fadeIn(300);
randnums = randnums.splice(m,1);
}, 300);
You seem to want a non-repeating random number from 0 to 6, so similar to tskuzzy's answer:
var getRand = (function() {
var nums = [0,1,2,3,4,5,6];
var current = [];
function rand(n) {
return (Math.random() * n)|0;
}
return function() {
if (!current.length) current = nums.slice();
return current.splice(rand(current.length), 1);
}
}());
It will return the numbers 0 to 6 in random order. When each has been drawn once, it will start again.
could you try that,
setInterval(function() {
m = Math.floor(Math.random()*7);
$('.foo:nth-of-type(' + m + ')').fadeIn(300);
}, 300);
I like Neal's answer although this is begging for some recursion. Here it is in java, you'll still get the general idea. Note that you'll hit an infinite loop if you pull out more numbers than MAX, I could have fixed that but left it as is for clarity.
edit: saw neal added a while loop so that works great.
public class RandCheck {
private List<Integer> numbers;
private Random rand;
private int MAX = 100;
public RandCheck(){
numbers = new ArrayList<Integer>();
rand = new Random();
}
public int getRandomNum(){
return getRandomNumRecursive(getRand());
}
private int getRandomNumRecursive(int num){
if(numbers.contains(num)){
return getRandomNumRecursive(getRand());
} else {
return num;
}
}
private int getRand(){
return rand.nextInt(MAX);
}
public static void main(String[] args){
RandCheck randCheck = new RandCheck();
for(int i = 0; i < 100; i++){
System.out.println(randCheck.getRandomNum());
}
}
}
Generally my approach is to make an array containing all of the possible values and to:
Pick a random number <= the size of the array
Remove the chosen element from the array
Repeat steps 1-2 until the array is empty
The resulting set of numbers will contain all of your indices without repetition.
Even better, maybe something like this:
var numArray = [0,1,2,3,4,5,6];
numArray.shuffle();
Then just go through the items because shuffle will have randomized them and pop them off one at a time.
Here's a simple fix, if a little rudimentary:
if(nextNum == lastNum){
if (nextNum == 0){nextNum = 7;}
else {nextNum = nextNum-1;}
}
If the next number is the same as the last simply minus 1 unless the number is 0 (zero) and set it to any other number within your set (I chose 7, the highest index).
I used this method within the cycle function because the only stipulation on selecting a number was that is musn't be the same as the last one.
Not the most elegant or technically gifted solution, but it works :)
Use sets. They were introduced to the specification in ES6. A set is a data structure that represents a collection of unique values, so it cannot include any duplicate values. I needed 6 random, non-repeatable numbers ranging from 1-49. I started with creating a longer set with around 30 digits (if the values repeat the set will have less elements), converted the set to array and then sliced it's first 6 elements. Easy peasy. Set.length is by default undefined and it's useless that's why it's easier to convert it to an array if you need specific length.
let randomSet = new Set();
for (let index = 0; index < 30; index++) {
randomSet.add(Math.floor(Math.random() * 49) + 1)
};
let randomSetToArray = Array.from(randomSet).slice(0,6);
console.log(randomSet);
console.log(randomSetToArray);
An easy way to generate a list of different numbers, no matter the size or number:
function randomNumber(max) {
return Math.floor(Math.random() * max + 1);
}
const list = []
while(list.length < 10 ){
let nbr = randomNumber(500)
if(!list.find(el => el === nbr)) list.push(nbr)
}
console.log("list",list)
I would like to add--
var RecordKeeper = {};
SRandom = function () {
currTimeStamp = new Date().getTime();
if (RecordKeeper.hasOwnProperty(currTimeStamp)) {
RecordKeeper[currTimeStamp] = RecordKeeper[currTimeStamp] + 1;
return currTimeStamp.toString() + RecordKeeper[currTimeStamp];
}
else {
RecordKeeper[currTimeStamp] = 1;
return currTimeStamp.toString() + RecordKeeper[currTimeStamp];
}
}
This uses timestamp (every millisecond) to always generate a unique number.
you can do this. Have a public array of keys that you have used and check against them with this function:
function in_array(needle, haystack)
{
for(var key in haystack)
{
if(needle === haystack[key])
{
return true;
}
}
return false;
}
(function from: javascript function inArray)
So what you can do is:
var done = [];
setInterval(function() {
var m = null;
while(m == null || in_array(m, done)){
m = Math.floor(Math.random()*7);
}
done.push(m);
$('.foo:nth-of-type('+m+')').fadeIn(300);
}, 300);
This code will get stuck after getting all seven numbers so you need to make sure it exists after it fins them all.
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));
I got a question from on line and I tried to solve it,please check the question below,
Reverse Number
Given a number N, print reverse of number N.
Note: Do not print leading zeros in output.
For example N = 100
Reverse of N will be 1 not 001.
Input: Input contains a single integer N.
Output: Print reverse of integer N.
Constraints:
1<=N<=10000
I tried to solve this using my below logic but I stuck in some place,I don't know what's wrong with my code,please check this
function rvrs() {
var a, no, b,temp = 0;
no = Number(document.getElementById("no_input").value);
b = no;
while (no > 0)
{
a = no % 10;
temp = temp * 10 + a;
}
document.getElementById("txt1").value = a;
}
You could use some array functions:
var test = 123456
var reversed = parseInt(test.toString().split('').reverse().join(''))
The same question I have solved already, your logic is correct but where are you parsing the integer and dividing? and also the output value you're taking from wrong variable,it should be temp not a.
Check my solution,
function rvrs() {
var a, no, b,temp = 0;
no = Number(document.getElementById("no_input").value);
b = no;
while (no > 0)
{
a = no % 10;
no = parseInt(no / 10);
temp = temp * 10 + a;
}
document.getElementById("txt1").value = temp;
}
I am new to coding and javascript and was asked, for an assignment, to convert base 10 numbers to a binary base without using specific Javascript built in methods (like alert(a.toString(16))), and I am only allowed to use loops,arrays and functions. This is what i have so far:
var number = prompt("Enter an unsigned base 10 number");
if (number>=0) {
var base = prompt("Enter b for binary, o for octal, or h for hexadecimal");
if (base=="h"||base=="H") {
;
}
So as you can see, I don't have much to go on. I was curious as to what equation or formula I would use to convert the base 10 number, as well as how i'm supposed to show A=10, B=11, C=12 and so forth for a hexadecimal base. Any help would be greatly appreciated!
edit: This is a rather complicated way to do it,
as Alnitak showed me (see discussion below).
It is more a scibble, or the long way by foot.
Short explanation:
If we want to get the binary of the decimal number 10,
we have to try 2^n so that 2^n is still smaller than 10.
For example 2^3 = 8 (that is OK). But 2^4 = 16 (thats too big).
So we have 2^3 and store a 1 for that in an array at index 3.
Now we have to get the rest of 10-2^3, which is 2, and have to
make the same calculation again until we get a difference of zero.
At last we have to reverse the array because its the other way arround.
var a = prompt("Enter an unsigned base 10 number");
var arr = [];
var i = 0;
function decToBin(x) {
y = Math.pow(2, i);
if (y < x) {
arr[i] = 0;
i++;
decToBin(x);
} else if (y > x) {
i--;
newX = (x - Math.pow(2, i));
arr[i] = 1;
i = 0;
decToBin(newX)
} else if (y == x) {
arr[i] = 1;
result = arr.reverse().join();
}
return result;
}
var b = decToBin(a); // var b holds the result
document.write(b);
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.