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Append extra zeroes to decimal to make 4.5 look 4.500 but 4.5234 should be 4.5234

I have a value fetched from the database, it's like:
4.5 which should be 4.500
0.01 which should be 0.010
11 which should be 11.000
so I used this piece of code
sprintf("%.3f",(double)$html['camp_cpc'])
But here arised another problem. If $html['camp_cpc'] = '4.5234', then also it displays 4.523 instead of original value 4.5234
Also for other values with larger decimal like 0.346513, its only showing up to 0.346.
How can I solve this problem in JavaScript also?

Floats 4.5 and 4.500 correspond to the same number, so they cannot (and should not) be used/stored in a way that preserves the different representation. If you need to preserve the original representation given by a user, you need to store this field as a list (string) and convert to a float whenever you need the float value

In Javascript at least, this is an implementation of what I think you want:
function getValue(x, points) {
var str = x.toString();
// Convert to string
var idx = str.indexOf(".");
// If the number is an integer
if(!~idx) return str + "." + "0".repeat(points);
// Get the tail of the number
var end = str.substr(idx+1);
// If the tail exceeds the number of decimal places, return the full string
if(end.length > points) return str;
// Otherwise return the int + the tail + required number of zeroes
return str.substr(0, idx) + "." + end.substr(0, points) + "0".repeat(points-end.length);
}
console.log(getValue(4.5, 3)); //4.500
console.log(getValue(0.01, 3)); //0.010
console.log(getValue(11, 3)); //11.000
Working demo (Makes use of ES6 String.repeat for demonstration purposes)
The important thing to note here is that this is string manipulation. Once you start to say "I want the number to look like..." it's no longer a number, it's what you want to show the user.
This takes your number, converts it to the string and pads the end of the string with the appropriate number of zeroes. If the decimal exceeds the number of places required the full number is returned.

In PHP, use %0.3f — and you don't need to cast as (double)
<?php
echo sprintf("%0.3f", 4.5); // "4.500"
echo sprintf("%0.3f", 4.5234); // "4.523"
If you want to display 4 decimal places, use %0.4f
echo sprintf("%0.4f", 4.5); // "4.5000"
echo sprintf("%0.4f", 4.5234); // "4.5234"
To do this in JavaScript
(4.5).toFixed(3); // "4.500"

It could look sth. like this:
var n = [4.5234, 0.5, 0.11, 456.45];
var temp_n;
for(var i = 0; i < n.length; i++) {
temp_n = String(n[i]).split(".");
if(temp_n[1] == null || temp_n[1].length < 3) {
n[i] = n[i].toFixed(3);
}
}

when generating normally-distributed random values, what is the most efficient way to define the range?

FYI: random == pseudo-random
A. when generating uniformly-random numbers, I can specify a range, i.e.:
(Math.random()-Math.random())*10+5
//generates numbers between -5 and 15
B. generating a set of random values with a version of Gaussian-esque normal randomness:
//pass in the mean and standard deviation
function randomNorm(mean, stdev) {
return Math.round((Math.random()*2-1)+(Math.random()*2-1)+(Math.random()*2-1))*stdev+mean);
}
//using the following values:
{
mean:400,
standard_deviation:1
//results in a range of 397-403, or +-range of 3
},
{
mean:400,
standard_deviation:10
//results in a range of 372-429, or +-range of 30
},
{
mean:400,
standard_deviation:25
//results in a range of 326-471, or +-range of 75
}
each one gives me a range of approximately standard_deviation*(+-3) (assuming I left the program running longer).
C. I can calculate this range as follows:
assuming I want a range from 300-500, so var total_range = 200;
my mean is 400, my +-range is total_range/2 (var r = 100)
so standard_deviation would be r/3 or in this case 33.333.
This seems to be working, but I have no idea what I'm doing with math so I feel like an idiot, this solution feels kludgy and not totally accurate.
My question:
is there some formula that I'm dancing around that can help me here? my requirements are as follows:
must be able to define a range of numbers accurately.
must be done in JavaScript, as efficiently as possible.
I think maybe I'm close but it's not quite there.

Subtracting two random numbers doesn't give you a normal distribution, it will give you numbers that decline linearly on both sides of zero. See the red diagram in this fiddle:
http://jsfiddle.net/Guffa/tvt5K/
To get a good approximation of normal distribution, add six random numbers together. See the green diagram in the fiddle.
So, to get normally distributed random numbers, use:
((Math.random() + Math.random() + Math.random() + Math.random() + Math.random() + Math.random()) - 3) / 3
This method is based on the central limit theorem, outlined as the second method here: http://en.wikipedia.org/wiki/Normal_distribution#Generating_values_from_normal_distribution

I wanted to have gaussian random numbers between 0 and 1, and after many tests (thanks to #Guffa answer too) I found this to be the best:
function gaussianRand() {
var rand = 0;
for (var i = 0; i < 6; i += 1) {
rand += Math.random();
}
return rand / 6;
}
And as a bonus:
function gaussianRandom(start, end) {
return Math.floor(start + gaussianRand() * (end - start + 1));
}

format decimal in javascript

i would like to format decimal values to specific format as like
1.23 should be shown as 0001.23 using javascript. is there any specific functions like toPrecision(), tofixed() in javascript to handle these kind of formatting or any pointers to go ahead with any solutions?
here preceeding decimal is dynamic one.
for example :
i have 2 values :
first value : 99.4545
second value : 100.32
in this second value has higher length (3)before decimal and first value has higher length after decimal(4). so subtracted result(0.8655) of this should be formatted as ###.#### (000.8685)
thank you

Just make a function that does what you want it to. Here is an example you can expand on if you want.
function pad(num, padSize){
var numString = "" + num.split('.')[0];
if(num.length < padSize){
var numZeroes = padSize-num.length;
var zeroes = "";
while(numZeroes){zeroes += "0"; numZeroes--;}
return zeroes + num;
}else return num;
}

if you want to lpad some 0 onto 1.23 you can do the following
var value = 1.23
value = ("0000000"+ value).slice(-7);
Change the -7 to be whatever you want the total string length including the decimal point to be.
Added after question edit
The above should handle your question pre-edit but for the rest of it you'll need something like this.
var formatNum = function (num, preLen, postLen) {
var value = num.split("."),
padstring = "0";
padLen = (preLen > postLen)?preLen:postLen;
for (i = 0; i < padLen; i++) {
padstring += padstring;
}
if (typeof(value[1]) === "undefined") {
value[1] = "0";
}
return ((padstring + value[0]).slice(-preLen)+ "." + (value[1] + padstring).substring(0,postLen));
}
This takes the number you want formatted and the lengths you want each string to be on either side of the '.'. It also handles the case of an integer.
If you want it to output any other cases such as returning an integer, you'll have to add that in.

Try to use a string, like "000" + some value

Convert A Large Integer To a Hex String In Javascript

I need to find a way to convert a large number into a hex string in javascript. Straight off the bat, I tried myBigNumber.toString(16) but if myBigNumber has a very large value (eg 1298925419114529174706173) then myBigNumber.toString(16) will return an erroneous result, which is just brilliant. I tried writing by own function as follows:
function (integer) {
var result = '';
while (integer) {
result = (integer % 16).toString(16) + result;
integer = Math.floor(integer / 16);
}
}
However, large numbers modulo 16 all return 0 (I think this fundamental issue is what is causing the problem with toString. I also tried replacing (integer % 16) with (integer - 16 * Math.floor(integer/16)) but that had the same issue.
I have also looked at the Big Integer Javascript library but that is a huge plugin for one, hopefully relatively straightforward problem.
Any thoughts as to how I can get a valid result? Maybe some sort of divide and conquer approach? I am really rather stuck here.

Assuming you have your integer stored as a decimal string like '1298925419114529174706173':
function dec2hex(str){ // .toString(16) only works up to 2^53
var dec = str.toString().split(''), sum = [], hex = [], i, s
while(dec.length){
s = 1 * dec.shift()
for(i = 0; s || i < sum.length; i++){
s += (sum[i] || 0) * 10
sum[i] = s % 16
s = (s - sum[i]) / 16
}
}
while(sum.length){
hex.push(sum.pop().toString(16))
}
return hex.join('')
}

The numbers in question are above javascript's largest integer. However, you can work with such large numbers by strings and there are some plugins which can help you do this. An example which is particularly useful in this circumstance is hex2dec

The approach I took was to use the bignumber.js library and create a BigNumber passing in the value as a string then just use toString to convert to hex:
const BigNumber = require('bignumber.js');
const lrgIntStr = '1298925419114529174706173';
const bn = new BigNumber(lrgIntStr);
const hex = bn.toString(16);

using the digits of a number as an array

var number = 342345820139586830203845861938475676
var output = []
var sum = 0;
while (number) {
output.push(number % 10);
number = Math.floor(number/10);
}
output = output.reverse();
function addTerms () {
for (i = 0; i < output.length; i=i+2) {
var term = Math.pow(output[i], output[i+1]);
sum += term;
}
return sum;
}
document.write(output);
document.write("<br>");
document.write(addTerms());
I am trying to take that large number and split it into its digits. Then, find the sum of the the first digit raised to the power of the 2nd, 3rd digit raiseed to the 4th, 5th raised to the 6th and so on. for some reason, my array is returning weird digits, causing my sum to be off. the correct answer is 2517052. Thanks

You're running into precision issues within JavaScript. Just evaluate the current value of number before you start doing anything, and the results may surprise you:
>>> var number = 342345820139586830203845861938475676; number;
3.423458201395868e+35
See also: What is JavaScript's highest integer value that a Number can go to without losing precision?
To resolve your issue, I'd store your input number as an array (or maybe even a string), then pull the digits off of that.
This will solve your calculation with the expected result of 2517052:
var number = "342345820139586830203845861938475676";
var sum = 0;
for(var i=0; i<number.length; i=i+2){
sum += Math.pow(number.charAt(i), number.charAt(i+1));
}
sum;

JavaScript stores numbers in floating point format (commonly double). double can store precisely only 15 digits.
You can use string to store this large number.

As mentioned, this is a problem with numeric precision. It applies to all programming languages that use native numeric formats. Your problem works fine if you use a string instead
var number = '342345820139586830203845861938475676'
var digits = number.split('')
var total = 0
while (digits.length > 1) {
var [n, power] = digits.splice(0, 2)
total += Math.pow(n, power)
}
(the result is 2517052, byt the way!)

Cast the number as a string and then iterate through it doing your math.
var number = "342345820139586830203845861938475676";//number definition
var X = 0;//some iterator
var numberAtX = 0 + number.charAt(X);//number access

The greatest integer supported by Javascript is 9007199254740992. So that only your output is weird.
For Reference go through the link http://ecma262-5.com/ELS5_HTML.htm#Section_8.5

[edit] adjusted the answer based on Borodins comment.
Mmm, I think the result should be 2517052. I'd say this does the same:
var numbers = '342345820139586830203845861938475676'.split('')
,num = numbers.splice(0,2)
,result = Math.pow(num[0],num[1]);
while ( (num = numbers.splice(0,2)) && num.length ){
result += Math.pow(num[0],num[1]);
}
console.log(result); //=> 2517052

The array methods map and reduce are supported in modern browsers,
and could be worth defining in older browsers. This is a good opportunity,
if you haven't used them before.
If you are going to make an array of a string anyway,
match pairs of digits instead of splitting to single digits.
This example takes numbers or strings.
function sumPower(s){
return String(s).match(/\d{2}/g).map(function(itm){
return Math.pow(itm.charAt(0), itm.charAt(1));
}).reduce(function(a, b){
return a+b;
});
}
sumPower('342345820139586830203845861938475676');
alert(sumPower(s))
/*
returned value:(Number)
2517052
*/