Multiply & Round JavaScript issue - javascript

I'm writing a simple invoicing solution for our company and have to multiply quantity * rate and round the result to two decimal places.
Quantity: 36.5
Rate: 33.33
My multiplication looks like this:
console.log((36.5 * 33.33).toFixed(2))
which returns
1216.54
when it should actually be
1216.55
I think this is because JavaScript is rounding down instead of up. Any idea how to resolve this?
Thanks!

Function work as it described in ES standart. It doesn't round down (not always).
I skip first 7 steps of algorithm in standard (they are not significant in this case).
variables definition:
f - is number of digits required after dot
x - is number (in our case 1216.5449999)
In brackets I describe what happens and why so.
x is lower then 10^21 so
a) let n be integer for which the exact mathematical value of n ÷ 10^f – x is as close to zero as possible. (n will
be 121654)
(difference will be -0.4999999, with rights rounding (121655) difference will be (0.50000000)).
b) let m be the String consisting of the digits of the decimal representation of n (m is "121654")
c) f != 0 is true so
i) Let k be the number of characters in m.(k = 6)
ii) if k < f (not out case skipping it)
iii) Let a be the first k–f characters of m (a = "1216"), and let b be the remaining f characters of m (m = "54")
iv) Let m = a + "." + b. (m = "1216.54")
return m;
If you still worry about right rounding in your app. then you, probably, should write your own rounding method (also you may try to search npm library for it. I don't know are they exist).
Edit:
Function with right rounding (it's slow but do the trick):
function myToFixed( val, digits_num ){
if( ! digits_num ) digits_num = 0
var tmp = val.toString().split('.')
var decimal = tmp[1]
var full = tmp[0];
var regex = /[5-9]/
var match = regex.exec( decimal.slice( digits_num ) )
if( ! match ){ return val.toFixed( digits_num ) }
var i = match.index + digits_num
while( i >= digits_num ){ val = ( parseFloat( val ).toFixed( i ) ); i-- }
return val.toString()
}

Related

Logarithm of a BigInt

Is there a way to get the logarithm of a BigInt in JavaScript?
With normal numbers, you would use this code:
const largeNumber = 1000;
const result = Math.log(largeNumber);
However, I need to work with factorial numbers, potentially higher than 170!, so the regular number type doesn't work. Math.log doesn't work with BigInt. So how do I get the logarithm?
const largeNumber = BigInt(1000);
const result = ???
In case you don't want to return a BigInt, then the following might work for you too:
function log10(bigint) {
if (bigint < 0) return NaN;
const s = bigint.toString(10);
return s.length + Math.log10("0." + s.substring(0, 15))
}
function log(bigint) {
return log10(bigint) * Math.log(10);
}
function natlog(bigint) {
if (bigint < 0) return NaN;
const s = bigint.toString(16);
const s15 = s.substring(0, 15);
return Math.log(16) * (s.length - s15.length) + Math.log("0x" + s15);
}
const largeNumber = BigInt('9039845039485903949384755723427863486200719925474009384509283489374539477777093824750398247503894750384750238947502389475029384755555555555555555555555555555555555555554444444444444444444444444222222222222222222222255666666666666938475938475938475938408932475023847502384750923847502389475023987450238947509238475092384750923847502389457028394750293847509384570238497575938475938475938475938475555555555559843991');
console.log(natlog(largeNumber)); // 948.5641152531601
console.log(log10(largeNumber), log(largeNumber), log(-1))
// 411.95616098588766
// 948.5641152531603
// NaN
log10() will return a standard precision float for any BigInt or Int number you enter as an argument.
As #Mielipuoli quite rightly mentioned, the natural logarithm can be calculated as
function log(bigint) {
return log10(bigint) / Math.log10(Math.E);
}
Or, even simpler, as shown in my snippet above, as log10(bigint) * Math.log(10).
#Nat already explained in a comment below, how this approach works, i.e. by calculating the integer and fractional parts of the logarithm separately and summing them up. With regards to the precision of the result: the Math.log10() works on a float number with its usual 13 to 14 decimal digits precision, and so, for a result, this is all you can expect too.
For this reason, I truncated the string representation of the BigInt number to 15 characters. Any further decimal places would have been ignored in the implicit type conversion to float anyway.
I also added the hex-string version here, suggested by #PeterCordes and further developed by #somebody as natlog(). It works - probably faster than my original solution - and produces the "same" result (only the very last shown digit deviates between the two results)!
The other answers have adequately addressed the question you give in the title, viz.: "how do I compute the logarithm of a BigInt?". However, you also mention that you are particularly interested in logarithms of factorials, for which a different algorithm avoids your range difficulties.
Applying log(ab) = log(a) + log(b), the following function computes the log of a factorial:
function logFactorial(n) {
let total = 0;
for (let current = 1; current <= n; ++current) {
total += Math.log10(current);
}
return total;
}
console.log(logFactorial(170));
Inspired from MWO's answer, you could simply convert the BigInt into a string with the same base as the logarithm that you want to calculate and get the string length.
For example to calculate floor(log2(9007199254740991)) you can do BigInt("9007199254740991").toString(2).length - 1.
Note that toString only allows bases from 2 to 36.
Following up on my earlier comment, if one ever finds themselves seeking a really high precision logarithm, there are a couple of big decimal packages available that offer this capability. For example, the code snippet below makes use of decimal.js to a precision of 1000 digits in order to calculate...
170! using BigInt to validate 170! when using decimal.js
170! using decimal.js
ln( 170! )
log10( 170! )
exp( ln( 170! ) )
round( exp( ln( 170! ) ) )
<style>
textarea {
width: 100%;
height: 100vh;
}
</style>
<textarea id=result width:"100%" height:"100vh"></textarea>
<script src="https://cdnjs.cloudflare.com/ajax/libs/decimal.js/10.3.1/decimal.min.js"></script>
<script>
let result = document.getElementById( 'result' );
Decimal.precision = 1000;
Decimal.toExpPos = 1000;
b = BigInt( 1 );
d = new Decimal( 1 );
for ( let di = 2, bi = 2n; di <= 170; di++, bi++ ) {
d = Decimal.mul( d, di );
b = b * bi;
}
result.value = `BigInt 170! = ${b}\n\n`;
result.value += `decimal.js 170! = ${d.toString()}\n\n`;
result.value += `ln( 170! ) = ${Decimal.ln( d ).toString()}\n\n`;
result.value += `log10( 170! ) = ${Decimal.log10( d ).toString()}\n\n`;
result.value += `exp( ln ( 170! ) ) = ${Decimal.exp( Decimal.ln( d ) ).toString()}\n\n`;
result.value += `round( exp( ln ( 170! ) ) ) = ${Decimal.round( Decimal.exp( Decimal.ln( d ) ) ).toString()}\n\n`;
</script>
As an aside, amusingly, even at a 1000 digits, there are still rounding errors. Typically one will make the calculations with some addition precision by including a few more "hidden" decimal places, and then round back to the desired precision.
Could you check if this works for you? The function returns a BigInt.
function log10(bigint) {
const n = bigint.toString(10).length;
return bigint > 0n ? BigInt(n - 1) : null;
}
const largeNumber = BigInt('9039845039485903949384755723427863486200719925474009384509283489374539477777093824750398247503894750384750238947502389475029384755555555555555555555555555555555555555554444444444444444444444444222222222222222222222255666666666666938475938475938475938408932475023847502384750923847502389475023987450238947509238475092384750923847502389457028394750293847509384570238497575938475938475938475938475555555555559843991')
console.log(log10(largeNumber).toString())
For Log2 would be this respectively:
const largeNumber = BigInt('9039845039485903949384755723427863486200719925474009384509283489374539477777093824750398247503894750384750238947502389475029384755555555555555555555555555555555555555554444444444444444444444444222222222222222222222255666666666666938475938475938475938408932475023847502384750923847502389475023987450238947509238475092384750923847502389457028394750293847509384570238497575938475938475938475938475555555555559843991')
function log2(bigint) {
const n = bigint.toString(2).length;
return bigint > 0n ? BigInt(n - 1) : null;
}
console.log(log2(largeNumber).toString())
If it's purely in string form, for mine I just lazily do
- log() here means natural-log ln()
- length() here means string length, sometimes called len()
- input bigint_str x
( length(x) * log(10) ) + log( "0." x )
Single liner, no loops, no recursion, no specialized bigint library - nothing.
Granted, it's precision is capped by IEEE 64-bit double precision FP, so its's accurate to 15 or so significant decimal digits.
Because one is prepending "0." in the 2nd half, that portion won't overflow or underflow unless your string is too long e.g. like more than 500k digits etc
If that's the case, trim it down to first 300 digits or so - that's way more than sufficient, since, by and large, it's dominated by the left side term describing order of magnitude, with right side only performing minor accuracy adjustments

Calculating cubic root for negative number

So, to be short,
3√(-8) = (-8)1/3
console.log(Math.pow(-8,1/3));
//Should be -2
But when I test it out, it outputs
NaN
Why? Is it a bug or it is expected to be like this in the first place? I am using JavaScript to draw graphs, but this messes up the graph.
You can use this snippet to calculate it. It also works for other powers, e.g. 1/4, 1/5, etc.
function nthroot(x, n) {
try {
var negate = n % 2 == 1 && x < 0;
if(negate)
x = -x;
var possible = Math.pow(x, 1 / n);
n = Math.pow(possible, n);
if(Math.abs(x - n) < 1 && (x > 0 == n > 0))
return negate ? -possible : possible;
} catch(e){}
}
nthroot(-8, 3);
Source: http://gotochriswest.com/blog/2011/05/06/cube-root-an-beyond/
A faster approach for just calculating the cubic root:
Math.cbrt = function(x) {
var sign = x === 0 ? 0 : x > 0 ? 1 : -1;
return sign * Math.pow(Math.abs(x), 1 / 3);
}
Math.cbrt(-8);
Update
To find an integer based cubic root, you can use the following function, inspired by this answer:
// positive-only cubic root approximation
function cbrt(n)
{
var a = n; // note: this is a non optimized assumption
while (a * a * a > n) {
a = Math.floor((2 * a + (n / (a * a))) / 3);
}
return a;
}
It starts with an assumption that converges to the closest integer a for which a^3 <= n. This function can be adjusted in the same way to support a negative base.
There's no bug; you are raising a negative number to a fractional power; hence, the NaN.
The top hit on google for this is from Dr Math the explanation is pretty good. It says for for real numbers (not complex numbers anyway), a negative number raised to a fractional power may not be a real number. The simplest example is probably
-4 ^ (1/2)
which is essentially computing the square root of -4. Even though the cubic root of -8 does have real solutions, I think that most software libraries find it more efficient not to do all the complex arithmetic and return NaN only when the imaginary part is nonzero and give you the nice real answer otherwise.
EDIT
Just to make absolutely clear that NaN is the intended result, see the official ECMAScript 5.1 Specification, Section 15.8.2.13. It says:
If x<0 and x is finite and y is finite and y is not an integer, the result is NaN.
Again, even though SOME instances of raising negative numbers to fractional powers have exactly one real root, many languages just do the NaN thing for all cases of negative numbers to fractional roots.
Please do not think JavaScript is the only such language. C++ does the same thing:
If x is finite negative and y is finite but not an integer value, it causes a domain error.
Two key problems:
Mathematically, there are multiple cubic roots of a negative number: -2, but also 2 complex roots (see cube roots of unity).
Javascript's Math object (and most other standard math libraries) will not do fractional powers of negative numbers. It converts the fractional power to a float before the function receives it, so you are asking the function to compute a floating point power of a negative number, which may or may not have a real solution. So it does the pragmatic thing and refuses to attempt to calculate such a value.
If you want to get the correct answer, you'll need to decide how mathematically correct you want to be, and write those rules into a non-standard implementation of pow.
All library functions are limited to avoid excessive calculation times and unnecessary complexity.
I like the other answers, but how about overriding Math.pow so it would be able to work with all nth roots of negative numbers:
//keep the original method for proxying
Math.pow_ = Math.pow;
//redefine the method
Math.pow = function(_base, _exponent) {
if (_base < 0) {
if (Math.abs(_exponent) < 1) {
//we're calculating nth root of _base, where n === 1/_exponent
if (1 / _exponent % 2 === 0) {
//nth root of a negative number is imaginary when n is even, we could return
//a string like "123i" but this would completely mess up further computation
return NaN;
}/*else if (1 / _exponent % 2 !== 0)*/
//nth root of a negative number when n is odd
return -Math.pow_(Math.abs(_base), _exponent);
}
}/*else if (_base >=0)*/
//run the original method, nothing will go wrong
return Math.pow_(_base, _exponent);
};
Fiddled with some test cases, give me a shout if you spot a bug!
So I see a bunch of methods that revolve around Math.pow(...) which is cool, but based on the wording of the bounty I'm proposing a slightly different approach.
There are several computational approximations for solving roots, some taking quicker steps than others. Ultimately the stopping point comes down to the degree of precision desired(it's really up to you/the problem being solved).
I'm not going to explain the math in fine detail, but the following are implementations of cubed root approximations that passed the target test(bounty test - also added negative range, because of the question title). Each iteration in the loop (see the while(Math.abs(xi-xi0)>precision) loops in each method) gets a step closer to the desired precision. Once precision is achieved a format is applied to the number so it's as precise as the calculation derived from the iteration.
var precision = 0.0000000000001;
function test_cuberoot_fn(fn) {
var tested = 0,
failed = 0;
for (var i = -100; i < 100; i++) {
var root = fn(i*i*i);
if (i !== root) {
console.log(i, root);
failed++;
}
tested++;
}
if (failed) {
console.log("failed %d / %d", failed, tested);
}else{
console.log("Passed test");
}
}
test_cuberoot_fn(newtonMethod);
test_cuberoot_fn(halleysMethod);
Newton's approximation Implementation
function newtonMethod(cube){
if(cube == 0){//only John Skeet and Chuck Norris
return 0; //can divide by zero, we'll have
} //to settle for check and return
var xi = 1;
var xi0 = -1;
while(Math.abs(xi-xi0)>precision){//precision = 0.0000000000001
xi0=xi;
xi = (1/3)*((cube/(xi*xi))+2*xi);
}
return Number(xi.toPrecision(12));
}
Halley's approximation Implementation
note Halley's approximation takes quicker steps to solving the cube, so it's computationally faster than newton's approximation.
function halleysMethod(cube){
if(cube == 0){//only John Skeet and Chuck Norris
return 0; //can divide by zero, we'll have
} //to settle for check and return
var xi = 1;
var xi0 = -1;
while(Math.abs(xi-xi0)>precision){//precision = 0.0000000000001
xi0=xi;
xi = xi*((xi*xi*xi + 2*cube)/(2*xi*xi*xi+cube));
}
return Number(xi.toPrecision(12));
}
It's Working in Chrome Console
function cubeRoot(number) {
var num = number;
var temp = 1;
var inverse = 1 / 3;
if (num < 0) {
num = -num;
temp = -1;
}
var res = Math.pow(num, inverse);
var acc = res - Math.floor(res);
if (acc <= 0.00001)
res = Math.floor(res);
else if (acc >= 0.99999)
res = Math.ceil(res);
return (temp * res);
}
cubeRoot(-64) // -4
cubeRoot(64) // 4
As a heads up, in ES6 there is now a Math.cbrt function.
In my testing in Google chrome it appears to work almost twice as fast as Math.pow. Interestingly I had to add up the results otherwise chrome did a better job of optimizing away the pow function.
//do a performance test on the cube root function from es6
var start=0, end=0, k=0;
start = performance.now();
k=0;
for (var i=0.0; i<10000000.0; i+=1.0)
{
var j = Math.cbrt(i);
//k+=j;
}
end = performance.now();
console.log("cbrt took:" + (end-start),k);
k=0;
start = performance.now();
for (var i=0.0; i<10000000.0; i+=1.0)
{
var j = Math.pow(i,0.33333333);
//k+=j;
}
end = performance.now();
console.log("pow took:" + (end-start),k);
k=0;
start = performance.now();
for (var i=0.0; i<10000000.0; i+=1.0)
{
var j = Math.cbrt(i);
k+=j;
}
end = performance.now();
console.log("cbrt took:" + (end-start),k);
k=0;
start = performance.now();
for (var i=0.0; i<10000000.0; i+=1.0)
{
var j = Math.pow(i,0.33333333);
k+=j;
}
end = performance.now();
console.log("pow took:" + (end-start),k);
Result:
cbrt took:468.28200000163633 0
pow took:77.21999999921536 0
cbrt took:546.8039999977918 1615825909.5248165
pow took:869.1149999940535 1615825826.7510242
//aren't cube roots of negative numbers the same as positive, except for the sign?
Math.cubeRoot= function(n, r){
var sign= (n<0)? -1: 1;
return sign*Math.pow(Math.abs(n), 1/3);
}
Math.cubeRoot(-8)
/* returned value: (Number)
-2
*/
Just want to highlight that in ES6 there is a native cubic root function. So you can just do this (check the support here)
Math.cbrt(-8) will return you -2
this works with negative number and negative exponent:
function nthRoot(x = 0, r = 1) {
if (x < 0) {
if (r % 2 === 1) return -nthRoot(-x, r)
if (r % 2 === -1) return -1 / nthRoot(-x, -r)
}
return x ** (1 / r)
}
examples:
nthRoot( 16, 2) 4
nthRoot( 16, -2) 0.25
nthRoot(-16, 2) NaN
nthRoot(-16, -2) NaN
nthRoot( 27, 3) 3
nthRoot( 27, -3) 0.3333333333333333
nthRoot(-27, 3) -3
nthRoot(-27, -3) -0.3333333333333333

How do I get the decimal places of a floating point number in Javascript?

What I would like to have is the almost opposite of Number.prototype.toPrecision(), meaning that when i have number, how many decimals does it have? E.g.
(12.3456).getDecimals() // 4
For anyone wondering how to do this faster (without converting to string), here's a solution:
function precision(a) {
var e = 1;
while (Math.round(a * e) / e !== a) e *= 10;
return Math.log(e) / Math.LN10;
}
Edit: a more complete solution with edge cases covered:
function precision(a) {
if (!isFinite(a)) return 0;
var e = 1, p = 0;
while (Math.round(a * e) / e !== a) { e *= 10; p++; }
return p;
}
One possible solution (depends on the application):
var precision = (12.3456 + "").split(".")[1].length;
If by "precision" you mean "decimal places", then that's impossible because floats are binary. They don't have decimal places, and most values that have a small number of decimal places have recurring digits in binary, and when they're translated back to decimal that doesn't necessarily yield the original decimal number.
Any code that works with the "decimal places" of a float is liable to produce unexpected results on some numbers.
There is no native function to determine the number of decimals. What you can do is convert the number to string and then count the offset off the decimal delimiter .:
Number.prototype.getPrecision = function() {
var s = this + "",
d = s.indexOf('.') + 1;
return !d ? 0 : s.length - d;
};
(123).getPrecision() === 0;
(123.0).getPrecision() === 0;
(123.12345).getPrecision() === 5;
(1e3).getPrecision() === 0;
(1e-3).getPrecision() === 3;
But it's in the nature of floats to fool you. 1 may just as well be represented by 0.00000000989 or something. I'm not sure how well the above actually performs in real life applications.
Basing on #blackpla9ue comment and considering numbers exponential format:
function getPrecision (num) {
var numAsStr = num.toFixed(10); //number can be presented in exponential format, avoid it
numAsStr = numAsStr.replace(/0+$/g, '');
var precision = String(numAsStr).replace('.', '').length - num.toFixed().length;
return precision;
}
getPrecision(12.3456); //4
getPrecision(120.30003300000); //6, trailing zeros are truncated
getPrecision(15); //0
getPrecision(120.000)) //0
getPrecision(0.0000005); //7
getPrecision(-0.01)) //2
Try the following
function countDecimalPlaces(number) {
var str = "" + number;
var index = str.indexOf('.');
if (index >= 0) {
return str.length - index - 1;
} else {
return 0;
}
}
Based on #boolean_Type's method of handling exponents, but avoiding the regex:
function getPrecision (value) {
if (!isFinite(value)) { return 0; }
const [int, float = ''] = Number(value).toFixed(12).split('.');
let precision = float.length;
while (float[precision - 1] === '0' && precision >= 0) precision--;
return precision;
}
Here are a couple of examples, one that uses a library (BigNumber.js), and another that doesn't use a library. Assume you want to check that a given input number (inputNumber) has an amount of decimal places that is less than or equal to a maximum amount of decimal places (tokenDecimals).
With BigNumber.js
import BigNumber from 'bignumber.js'; // ES6
// const BigNumber = require('bignumber.js').default; // CommonJS
const tokenDecimals = 18;
const inputNumber = 0.000000000000000001;
// Convert to BigNumber
const inputNumberBn = new BigNumber(inputNumber);
// BigNumber.js API Docs: http://mikemcl.github.io/bignumber.js/#dp
console.log(`Invalid?: ${inputNumberBn.dp() > tokenDecimals}`);
Without BigNumber.js
function getPrecision(numberAsString) {
var n = numberAsString.toString().split('.');
return n.length > 1
? n[1].length
: 0;
}
const tokenDecimals = 18;
const inputNumber = 0.000000000000000001;
// Conversion of number to string returns scientific conversion
// So obtain the decimal places from the scientific notation value
const inputNumberDecimalPlaces = inputNumber.toString().split('-')[1];
// Use `toFixed` to convert the number to a string without it being
// in scientific notation and with the correct number decimal places
const inputNumberAsString = inputNumber.toFixed(inputNumberDecimalPlaces);
// Check if inputNumber is invalid due to having more decimal places
// than the permitted decimal places of the token
console.log(`Invalid?: ${getPrecision(inputNumberAsString) > tokenDecimals}`);
Assuming number is valid.
let number = 0.999;
let noOfPlaces = number.includes(".") //includes or contains
? number.toString().split(".").pop().length
: 0;
5622890.31 ops/s (91.58% slower):
function precision (n) {
return (n.toString().split('.')[1] || '').length
}
precision(1.0123456789)
33004904.53 ops/s (50.58% slower):
function precision (n) {
let e = 1
let p = 0
while(Math.round(n * e) / e !== n) {
e *= 10
p++
}
return p
}
precision(1.0123456789)
62610550.04 ops/s (6.25% slower):
function precision (n) {
let cur = n
let p = 0
while(!Number.isInteger(cur)) {
cur *= 10
p++
}
return p
}
precision(1.0123456789)
66786361.47 ops/s (fastest):
function precision (n) {
let cur = n
let p = 0
while(Math.floor(cur) !== cur) {
cur *= 10
p++
}
return p
}
precision(1.0123456789)
Here is a simple solution
First of all, if you pass a simple float value as 12.1234 then most of the below/above logics may work but if you pass a value as 12.12340, then it may exclude a count of 0. For e.g, if the value is 12.12340 then it may give you a result of 4 instead of 5. As per your problem statement, if you ask javascript to split and count your float value into 2 integers then it won't include trailing 0s of it.
Let's satisfy our requirement here with a trick ;)
In the below function you need to pass a value in string format and it will do your work
function getPrecision(value){
a = value.toString()
console.log('a ->',a)
b = a.split('.')
console.log('b->',b)
return b[1].length
getPrecision('12.12340') // Call a function
For an example, run the below logic
value = '12.12340'
a = value.toString()
b = a.split('.')
console.log('count of trailing decimals->',b[1].length)
That's it! It will give you the exact count for normal float values as well as the float values with trailing 0s!
Thank you!
This answer adds to Mourner's accepted solution by making the function more robust. As noted by many, floating point precision makes such a function unreliable. For example, precision(0.1+0.2) yields 17 rather than 1 (this might be computer specific, but for this example see https://jsfiddle.net/s0v17jby/5/).
IMHO, there are two ways around this: 1. either properly define a decimal type, using e.g. https://github.com/MikeMcl/decimal.js/, or 2. define an acceptable precision level which is both OK for your use case and not a problem for the js Number representation (8 bytes can safely represent a total of 16 digits AFAICT). For the latter workaround, one can write a more robust variant of the proposed function:
const MAX_DECIMAL_PRECISION = 9; /* must be <= 15 */
const maxDecimalPrecisionFloat = 10**MAX_DECIMAL_PRECISION;
function precisionRobust(a) {
if (!isFinite(a)) return 0;
var e = 1, p = 0;
while ( ++p<=MAX_DECIMAL_PRECISION && Math.round( ( Math.round(a * e) / e - a ) * maxDecimalPrecisionFloat ) !== 0) e *= 10;
return p-1;
}
In the above example, the maximum precision of 9 means this accepts up to 6 digits before the decimal point and 9 after (so this would work for numbers less than one million and with a maximum of 9 decimal points). If your use-case numbers are smaller then you can choose to make this precision even greater (but with a maximum of 15). It turns out that, for calculating precision, this function seems to do OK on larger numbers as well (though that would no longer be the case if we were, say, adding two rounded numbers within the precisionRobust function).
Finally, since we now know the maximum useable precision, we can further avoid infinite loops (which I have not been able to replicate but which still seem to cause problems for some).

Truncate (not round off) decimal numbers in javascript

I am trying to truncate decimal numbers to decimal places. Something like this:
5.467 -> 5.46
985.943 -> 985.94
toFixed(2) does just about the right thing but it rounds off the value. I don't need the value rounded off. Hope this is possible in javascript.
Dogbert's answer is good, but if your code might have to deal with negative numbers, Math.floor by itself may give unexpected results.
E.g. Math.floor(4.3) = 4, but Math.floor(-4.3) = -5
Use a helper function like this one instead to get consistent results:
truncateDecimals = function (number) {
return Math[number < 0 ? 'ceil' : 'floor'](number);
};
// Applied to Dogbert's answer:
var a = 5.467;
var truncated = truncateDecimals(a * 100) / 100; // = 5.46
Here's a more convenient version of this function:
truncateDecimals = function (number, digits) {
var multiplier = Math.pow(10, digits),
adjustedNum = number * multiplier,
truncatedNum = Math[adjustedNum < 0 ? 'ceil' : 'floor'](adjustedNum);
return truncatedNum / multiplier;
};
// Usage:
var a = 5.467;
var truncated = truncateDecimals(a, 2); // = 5.46
// Negative digits:
var b = 4235.24;
var truncated = truncateDecimals(b, -2); // = 4200
If that isn't desired behaviour, insert a call to Math.abs on the first line:
var multiplier = Math.pow(10, Math.abs(digits)),
EDIT: shendz correctly points out that using this solution with a = 17.56 will incorrectly produce 17.55. For more about why this happens, read What Every Computer Scientist Should Know About Floating-Point Arithmetic. Unfortunately, writing a solution that eliminates all sources of floating-point error is pretty tricky with javascript. In another language you'd use integers or maybe a Decimal type, but with javascript...
This solution should be 100% accurate, but it will also be slower:
function truncateDecimals (num, digits) {
var numS = num.toString(),
decPos = numS.indexOf('.'),
substrLength = decPos == -1 ? numS.length : 1 + decPos + digits,
trimmedResult = numS.substr(0, substrLength),
finalResult = isNaN(trimmedResult) ? 0 : trimmedResult;
return parseFloat(finalResult);
}
For those who need speed but also want to avoid floating-point errors, try something like BigDecimal.js. You can find other javascript BigDecimal libraries in this SO question: "Is there a good Javascript BigDecimal library?" and here's a good blog post about math libraries for Javascript
upd:
So, after all it turned out, rounding bugs will always haunt you, no matter how hard you try to compensate them. Hence the problem should be attacked by representing numbers exactly in decimal notation.
Number.prototype.toFixedDown = function(digits) {
var re = new RegExp("(\\d+\\.\\d{" + digits + "})(\\d)"),
m = this.toString().match(re);
return m ? parseFloat(m[1]) : this.valueOf();
};
[ 5.467.toFixedDown(2),
985.943.toFixedDown(2),
17.56.toFixedDown(2),
(0).toFixedDown(1),
1.11.toFixedDown(1) + 22];
// [5.46, 985.94, 17.56, 0, 23.1]
Old error-prone solution based on compilation of others':
Number.prototype.toFixedDown = function(digits) {
var n = this - Math.pow(10, -digits)/2;
n += n / Math.pow(2, 53); // added 1360765523: 17.56.toFixedDown(2) === "17.56"
return n.toFixed(digits);
}
var a = 5.467;
var truncated = Math.floor(a * 100) / 100; // = 5.46
You can fix the rounding by subtracting 0.5 for toFixed, e.g.
(f - 0.005).toFixed(2)
Nice one-line solution:
function truncate (num, places) {
return Math.trunc(num * Math.pow(10, places)) / Math.pow(10, places);
}
Then call it with:
truncate(3.5636232, 2); // returns 3.56
truncate(5.4332312, 3); // returns 5.433
truncate(25.463214, 4); // returns 25.4632
Consider taking advantage of the double tilde: ~~.
Take in the number. Multiply by significant digits after the decimal so that you can truncate to zero places with ~~. Divide that multiplier back out. Profit.
function truncator(numToTruncate, intDecimalPlaces) {
var numPower = Math.pow(10, intDecimalPlaces); // "numPowerConverter" might be better
return ~~(numToTruncate * numPower)/numPower;
}
I'm trying to resist wrapping the ~~ call in parens; order of operations should make that work correctly, I believe.
alert(truncator(5.1231231, 1)); // is 5.1
alert(truncator(-5.73, 1)); // is -5.7
alert(truncator(-5.73, 0)); // is -5
JSFiddle link.
EDIT: Looking back over, I've unintentionally also handled cases to round off left of the decimal as well.
alert(truncator(4343.123, -2)); // gives 4300.
The logic's a little wacky looking for that usage, and may benefit from a quick refactor. But it still works. Better lucky than good.
I thought I'd throw in an answer using | since it is simple and works well.
truncate = function(number, places) {
var shift = Math.pow(10, places);
return ((number * shift) | 0) / shift;
};
Truncate using bitwise operators:
~~0.5 === 0
~~(-0.5) === 0
~~14.32794823 === 14
~~(-439.93) === -439
#Dogbert's answer can be improved with Math.trunc, which truncates instead of rounding.
There is a difference between rounding and truncating. Truncating is
clearly the behaviour this question is seeking. If I call
truncate(-3.14) and receive -4 back, I would definitely call that
undesirable. – #NickKnowlson
var a = 5.467;
var truncated = Math.trunc(a * 100) / 100; // = 5.46
var a = -5.467;
var truncated = Math.trunc(a * 100) / 100; // = -5.46
I wrote an answer using a shorter method. Here is what I came up with
function truncate(value, precision) {
var step = Math.pow(10, precision || 0);
var temp = Math.trunc(step * value);
return temp / step;
}
The method can be used like so
truncate(132456.25456789, 5)); // Output: 132456.25456
truncate(132456.25456789, 3)); // Output: 132456.254
truncate(132456.25456789, 1)); // Output: 132456.2
truncate(132456.25456789)); // Output: 132456
Or, if you want a shorter syntax, here you go
function truncate(v, p) {
var s = Math.pow(10, p || 0);
return Math.trunc(s * v) / s;
}
I think this function could be a simple solution:
function trunc(decimal,n=2){
let x = decimal + ''; // string
return x.lastIndexOf('.')>=0?parseFloat(x.substr(0,x.lastIndexOf('.')+(n+1))):decimal; // You can use indexOf() instead of lastIndexOf()
}
console.log(trunc(-241.31234,2));
console.log(trunc(241.312,5));
console.log(trunc(-241.233));
console.log(trunc(241.2,0));
console.log(trunc(241));
Number.prototype.trim = function(decimals) {
var s = this.toString();
var d = s.split(".");
d[1] = d[1].substring(0, decimals);
return parseFloat(d.join("."));
}
console.log((5.676).trim(2)); //logs 5.67
I'm a bit confused as to why there are so many different answers to such a fundamentally simple question; there are only two approaches which I saw which seemed to be worth looking at. I did a quick benchmark to see the speed difference using https://jsbench.me/.
This is the solution which is currently (9/26/2020) flagged as the answer:
function truncate(n, digits) {
var re = new RegExp("(\\d+\\.\\d{" + digits + "})(\\d)"),
m = n.toString().match(re);
return m ? parseFloat(m[1]) : n.valueOf();
};
[ truncate(5.467,2),
truncate(985.943,2),
truncate(17.56,2),
truncate(0, 1),
truncate(1.11, 1) + 22];
However, this is doing string and regex stuff, which is usually not very efficient, and there is a Math.trunc function which does exactly what the OP wants just with no decimals. Therefore, you can easily use that plus a little extra arithmetic to get the same thing.
Here is another solution I found on this thread, which is the one I would use:
function truncate(n, digits) {
var step = Math.pow(10, digits || 0);
var temp = Math.trunc(step * n);
return temp / step;
}
[ truncate(5.467,2),
truncate(985.943,2),
truncate(17.56,2),
truncate(0, 1),
truncate(1.11, 1) + 22];
The first method is "99.92% slower" than the second, so the second is definitely the one I would recommend using.
Okay, back to finding other ways to avoid work...
I found a problem: considering the next situation: 2.1 or 1.2 or -6.4
What if you want always 3 decimals or two or wharever, so, you have to complete the leading zeros to the right
// 3 decimals numbers
0.5 => 0.500
// 6 decimals
0.1 => 0.10000
// 4 decimales
-2.1 => -2.1000
// truncate to 3 decimals
3.11568 => 3.115
This is the fixed function of Nick Knowlson
function truncateDecimals (num, digits)
{
var numS = num.toString();
var decPos = numS.indexOf('.');
var substrLength = decPos == -1 ? numS.length : 1 + decPos + digits;
var trimmedResult = numS.substr(0, substrLength);
var finalResult = isNaN(trimmedResult) ? 0 : trimmedResult;
// adds leading zeros to the right
if (decPos != -1){
var s = trimmedResult+"";
decPos = s.indexOf('.');
var decLength = s.length - decPos;
while (decLength <= digits){
s = s + "0";
decPos = s.indexOf('.');
decLength = s.length - decPos;
substrLength = decPos == -1 ? s.length : 1 + decPos + digits;
};
finalResult = s;
}
return finalResult;
};
https://jsfiddle.net/huttn155/7/
function toFixed(number, digits) {
var reg_ex = new RegExp("(\\d+\\.\\d{" + digits + "})(\\d)")
var array = number.toString().match(reg_ex);
return array ? parseFloat(array[1]) : number.valueOf()
}
var test = 10.123456789
var __fixed = toFixed(test, 6)
console.log(__fixed)
// => 10.123456
The answer by #kirilloid seems to be the correct answer, however, the main code needs to be updated. His solution doesn't take care of negative numbers (which someone did mention in the comment section but has not been updated in the main code).
Updating that to a complete final tested solution:
Number.prototype.toFixedDown = function(digits) {
var re = new RegExp("([-]*\\d+\\.\\d{" + digits + "})(\\d)"),
m = this.toString().match(re);
return m ? parseFloat(m[1]) : this.valueOf();
};
Sample Usage:
var x = 3.1415629;
Logger.log(x.toFixedDown(2)); //or use whatever you use to log
Fiddle: JS Number Round down
PS: Not enough repo to comment on that solution.
Here my take on the subject:
convert.truncate = function(value, decimals) {
decimals = (decimals === undefined ? 0 : decimals);
return parseFloat((value-(0.5/Math.pow(10, decimals))).toFixed(decimals),10);
};
It's just a slightly more elaborate version of
(f - 0.005).toFixed(2)
Here is simple but working function to truncate number upto 2 decimal places.
function truncateNumber(num) {
var num1 = "";
var num2 = "";
var num1 = num.split('.')[0];
num2 = num.split('.')[1];
var decimalNum = num2.substring(0, 2);
var strNum = num1 +"."+ decimalNum;
var finalNum = parseFloat(strNum);
return finalNum;
}
The resulting type remains a number...
/* Return the truncation of n wrt base */
var trunc = function(n, base) {
n = (n / base) | 0;
return base * n;
};
var t = trunc(5.467, 0.01);
Lodash has a few Math utility methods that can round, floor, and ceil a number to a given decimal precision. This leaves off trailing zeroes.
They take an interesting approach, using the exponent of a number. Apparently this avoids rounding issues.
(Note: func is Math.round or ceil or floor in the code below)
// Shift with exponential notation to avoid floating-point issues.
var pair = (toString(number) + 'e').split('e'),
value = func(pair[0] + 'e' + (+pair[1] + precision));
pair = (toString(value) + 'e').split('e');
return +(pair[0] + 'e' + (+pair[1] - precision));
Link to the source code
const TO_FIXED_MAX = 100;
function truncate(number, decimalsPrecison) {
// make it a string with precision 1e-100
number = number.toFixed(TO_FIXED_MAX);
// chop off uneccessary digits
const dotIndex = number.indexOf('.');
number = number.substring(0, dotIndex + decimalsPrecison + 1);
// back to a number data type (app specific)
return Number.parseFloat(number);
}
// example
truncate(0.00000001999, 8);
0.00000001
works with:
negative numbers
very small numbers (Number.EPSILON precision)
The one that is mark as the solution is the better solution I been found until today, but has a serious problem with 0 (for example, 0.toFixedDown(2) gives -0.01). So I suggest to use this:
Number.prototype.toFixedDown = function(digits) {
if(this == 0) {
return 0;
}
var n = this - Math.pow(10, -digits)/2;
n += n / Math.pow(2, 53); // added 1360765523: 17.56.toFixedDown(2) === "17.56"
return n.toFixed(digits);
}
Here is what I use:
var t = 1;
for (var i = 0; i < decimalPrecision; i++)
t = t * 10;
var f = parseFloat(value);
return (Math.floor(f * t)) / t;
You can work with strings.
It Checks if '.' exists, and then removes part of string.
truncate (7.88, 1) --> 7.8
truncate (7.889, 2) --> 7.89
truncate (-7.88, 1 ) --> -7.88
function truncate(number, decimals) {
const tmp = number + '';
if (tmp.indexOf('.') > -1) {
return +tmp.substr(0 , tmp.indexOf('.') + decimals+1 );
} else {
return +number
}
}
function trunc(num, dec) {
const pow = 10 ** dec
return Math.trunc(num * pow) / pow
}
// ex.
trunc(4.9634, 1) // 4.9
trunc(4.9634, 2) // 4.96
trunc(-4.9634, 1) // -4.9
You can use toFixed(2) to convert your float to a string with 2 decimal points. Then you can wrap that in floatParse() to convert that string back to a float to make it usable for calculations or db storage.
const truncatedNumber = floatParse(num.toFixed(2))
I am not sure of the potential drawbacks of this answer like increased processing time but I tested edge cases from other comments like .29 which returns .29 (not .28 like other solutions). It also handles negative numbers.
just to point out a simple solution that worked for me
convert it to string and then regex it...
var number = 123.45678;
var number_s = '' + number;
var number_truncated_s = number_s.match(/\d*\.\d{4}/)[0]
var number_truncated = parseFloat(number_truncated_s)
It can be abbreviated to
var number_truncated = parseFloat(('' + 123.4568908).match(/\d*\.\d{4}/)[0])
Here is an ES6 code which does what you want
const truncateTo = (unRouned, nrOfDecimals = 2) => {
const parts = String(unRouned).split(".");
if (parts.length !== 2) {
// without any decimal part
return unRouned;
}
const newDecimals = parts[1].slice(0, nrOfDecimals),
newString = `${parts[0]}.${newDecimals}`;
return Number(newString);
};
// your examples
console.log(truncateTo(5.467)); // ---> 5.46
console.log(truncateTo(985.943)); // ---> 985.94
// other examples
console.log(truncateTo(5)); // ---> 5
console.log(truncateTo(-5)); // ---> -5
console.log(truncateTo(-985.943)); // ---> -985.94
Suppose you want to truncate number x till n digits.
Math.trunc(x * pow(10,n))/pow(10,n);
Number.prototype.truncate = function(places) {
var shift = Math.pow(10, places);
return Math.trunc(this * shift) / shift;
};

Get decimal portion of a number with JavaScript

I have float numbers like 3.2 and 1.6.
I need to separate the number into the integer and decimal part. For example, a value of 3.2 would be split into two numbers, i.e. 3 and 0.2
Getting the integer portion is easy:
n = Math.floor(n);
But I am having trouble getting the decimal portion.
I have tried this:
remainder = n % 2; //obtem a parte decimal do rating
But it does not always work correctly.
The previous code has the following output:
n = 3.1 // gives remainder = 1.1
What I am missing here?
Use 1, not 2.
js> 2.3 % 1
0.2999999999999998
var decimal = n - Math.floor(n)
Although this won't work for minus numbers so we might have to do
n = Math.abs(n); // Change to positive
var decimal = n - Math.floor(n)
You could convert to string, right?
n = (n + "").split(".");
How is 0.2999999999999998 an acceptable answer? If I were the asker I would want an answer of .3. What we have here is false precision, and my experiments with floor, %, etc indicate that Javascript is fond of false precision for these operations. So I think the answers that are using conversion to string are on the right track.
I would do this:
var decPart = (n+"").split(".")[1];
Specifically, I was using 100233.1 and I wanted the answer ".1".
Here's how I do it, which I think is the most straightforward way to do it:
var x = 3.2;
int_part = Math.trunc(x); // returns 3
float_part = Number((x-int_part).toFixed(2)); // return 0.2
A simple way of doing it is:
var x = 3.2;
var decimals = x - Math.floor(x);
console.log(decimals); //Returns 0.20000000000000018
Unfortunately, that doesn't return the exact value. However, that is easily fixed:
var x = 3.2;
var decimals = x - Math.floor(x);
console.log(decimals.toFixed(1)); //Returns 0.2
You can use this if you don't know the number of decimal places:
var x = 3.2;
var decimals = x - Math.floor(x);
var decimalPlaces = x.toString().split('.')[1].length;
decimals = decimals.toFixed(decimalPlaces);
console.log(decimals); //Returns 0.2
Language independent way:
var a = 3.2;
var fract = a * 10 % 10 /10; //0.2
var integr = a - fract; //3
note that it correct only for numbers with one fractioanal lenght )
You can use parseInt() function to get the integer part than use that to extract the decimal part
var myNumber = 3.2;
var integerPart = parseInt(myNumber);
var decimalPart = myNumber - integerPart;
Or you could use regex like:
splitFloat = function(n){
const regex = /(\d*)[.,]{1}(\d*)/;
var m;
if ((m = regex.exec(n.toString())) !== null) {
return {
integer:parseInt(m[1]),
decimal:parseFloat(`0.${m[2]}`)
}
}
}
The following works regardless of the regional settings for decimal separator... on the condition only one character is used for a separator.
var n = 2015.15;
var integer = Math.floor(n).toString();
var strungNumber = n.toString();
if (integer.length === strungNumber.length)
return "0";
return strungNumber.substring(integer.length + 1);
It ain't pretty, but it's accurate.
If precision matters and you require consistent results, here are a few propositions that will return the decimal part of any number as a string, including the leading "0.". If you need it as a float, just add var f = parseFloat( result ) in the end.
If the decimal part equals zero, "0.0" will be returned. Null, NaN and undefined numbers are not tested.
1. String.split
var nstring = (n + ""),
narray = nstring.split("."),
result = "0." + ( narray.length > 1 ? narray[1] : "0" );
2. String.substring, String.indexOf
var nstring = (n + ""),
nindex = nstring.indexOf("."),
result = "0." + (nindex > -1 ? nstring.substring(nindex + 1) : "0");
3. Math.floor, Number.toFixed, String.indexOf
var nstring = (n + ""),
nindex = nstring.indexOf("."),
result = ( nindex > -1 ? (n - Math.floor(n)).toFixed(nstring.length - nindex - 1) : "0.0");
4. Math.floor, Number.toFixed, String.split
var nstring = (n + ""),
narray = nstring.split("."),
result = (narray.length > 1 ? (n - Math.floor(n)).toFixed(narray[1].length) : "0.0");
Here is a jsPerf link: https://jsperf.com/decpart-of-number/
We can see that proposition #2 is the fastest.
A good option is to transform the number into a string and then split it.
// Decimal number
let number = 3.2;
// Convert it into a string
let string = number.toString();
// Split the dot
let array = string.split('.');
// Get both numbers
// The '+' sign transforms the string into a number again
let firstNumber = +array[0]; // 3
let secondNumber = +array[1]; // 2
In one line of code
let [firstNumber, secondNumber] = [+number.toString().split('.')[0], +number.toString().split('.')[1]];
Depending the usage you will give afterwards, but this simple solution could also help you.
Im not saying its a good solution, but for some concrete cases works
var a = 10.2
var c = a.toString().split(".")
console.log(c[1] == 2) //True
console.log(c[1] === 2) //False
But it will take longer than the proposed solution by #Brian M. Hunt
(2.3 % 1).toFixed(4)
I am using:
var n = -556.123444444;
var str = n.toString();
var decimalOnly = 0;
if( str.indexOf('.') != -1 ){ //check if has decimal
var decimalOnly = parseFloat(Math.abs(n).toString().split('.')[1]);
}
Input: -556.123444444
Result: 123444444
You could convert it to a string and use the replace method to replace the integer part with zero, then convert the result back to a number :
var number = 123.123812,
decimals = +number.toString().replace(/^[^\.]+/,'0');
n = Math.floor(x);
remainder = x % 1;
Math functions are faster, but always returns not native expected values.
Easiest way that i found is
(3.2+'').replace(/^[-\d]+\./, '')
The best way to avoid mathematical imprecision is to convert to a string, but ensure that it is in the "dot" format you expect by using toLocaleString:
function getDecimals(n) {
// Note that maximumSignificantDigits defaults to 3 so your decimals will be rounded if not changed.
const parts = n.toLocaleString('en-US', { maximumSignificantDigits: 18 }).split('.')
return parts.length > 1 ? Number('0.' + parts[1]) : 0
}
console.log(getDecimals(10.58))
You can simply use parseInt() function to help, example:
let decimal = 3.2;
let remainder = decimal - parseInt(decimal);
document.write(remainder);
I had a case where I knew all the numbers in question would have only one decimal and wanted to get the decimal portion as an integer so I ended up using this kind of approach:
var number = 3.1,
decimalAsInt = Math.round((number - parseInt(number)) * 10); // returns 1
This works nicely also with integers, returning 0 in those cases.
Although I am very late to answer this, please have a look at the code.
let floatValue = 3.267848;
let decimalDigits = floatValue.toString().split('.')[1];
let decimalPlaces = decimalDigits.length;
let decimalDivider = Math.pow(10, decimalPlaces);
let fractionValue = decimalDigits/decimalDivider;
let integerValue = floatValue - fractionValue;
console.log("Float value: "+floatValue);
console.log("Integer value: "+integerValue);
console.log("Fraction value: "+fractionValue)
I like this answer https://stackoverflow.com/a/4512317/1818723 just need to apply float point fix
function fpFix(n) {
return Math.round(n * 100000000) / 100000000;
}
let decimalPart = 2.3 % 1; //0.2999999999999998
let correct = fpFix(decimalPart); //0.3
Complete function handling negative and positive
function getDecimalPart(decNum) {
return Math.round((decNum % 1) * 100000000) / 100000000;
}
console.log(getDecimalPart(2.3)); // 0.3
console.log(getDecimalPart(-2.3)); // -0.3
console.log(getDecimalPart(2.17247436)); // 0.17247436
P.S. If you are cryptocurrency trading platform developer or banking system developer or any JS developer ;) please apply fpFix everywhere. Thanks!
2021 Update
Optimized version that tackles precision (or not).
// Global variables.
const DEFAULT_PRECISION = 16;
const MAX_CACHED_PRECISION = 20;
// Helper function to avoid numerical imprecision from Math.pow(10, x).
const _pow10 = p => parseFloat(`1e+${p}`);
// Cache precision coefficients, up to a precision of 20 decimal digits.
const PRECISION_COEFS = new Array(MAX_CACHED_PRECISION);
for (let i = 0; i !== MAX_CACHED_PRECISION; ++i) {
PRECISION_COEFS[i] = _pow10(i);
}
// Function to get a power of 10 coefficient,
// optimized for both speed and precision.
const pow10 = p => PRECISION_COEFS[p] || _pow10(p);
// Function to trunc a positive number, optimized for speed.
// See: https://stackoverflow.com/questions/38702724/math-floor-vs-math-trunc-javascript
const trunc = v => (v < 1e8 && ~~v) || Math.trunc(v);
// Helper function to get the decimal part when the number is positive,
// optimized for speed.
// Note: caching 1 / c or 1e-precision still leads to numerical errors.
// So we have to pay the price of the division by c.
const _getDecimals = (v = 0, precision = DEFAULT_PRECISION) => {
const c = pow10(precision); // Get precision coef.
const i = trunc(v); // Get integer.
const d = v - i; // Get decimal.
return Math.round(d * c) / c;
}
// Augmenting Number proto.
Number.prototype.getDecimals = function(precision) {
return (isFinite(this) && (precision ? (
(this < 0 && -_getDecimals(-this, precision))
|| _getDecimals(this, precision)
) : this % 1)) || 0;
}
// Independent function.
const getDecimals = (input, precision) => (isFinite(input) && (
precision ? (
(this < 0 && -_getDecimals(-this, precision))
|| _getDecimals(this, precision)
) : this % 1
)) || 0;
// Tests:
const test = (value, precision) => (
console.log(value, '|', precision, '-->', value.getDecimals(precision))
);
test(1.001 % 1); // --> 0.0009999999999998899
test(1.001 % 1, 16); // --> 0.000999999999999
test(1.001 % 1, 15); // --> 0.001
test(1.001 % 1, 3); // --> 0.001
test(1.001 % 1, 2); // --> 0
test(-1.001 % 1, 16); // --> -0.000999999999999
test(-1.001 % 1, 15); // --> -0.001
test(-1.001 % 1, 3); // --> -0.001
test(-1.001 % 1, 2); // --> 0
After looking at several of these, I am now using...
var rtnValue = Number(7.23);
var tempDec = ((rtnValue / 1) - Math.floor(rtnValue)).toFixed(2);
Floating-point decimal sign and number format can be dependent from country (.,), so independent solution, which preserved floating point part, is:
getFloatDecimalPortion = function(x) {
x = Math.abs(parseFloat(x));
let n = parseInt(x);
return Number((x - n).toFixed(Math.abs((""+x).length - (""+n).length - 1)));
}
– it is internationalized solution, instead of location-dependent:
getFloatDecimalPortion = x => parseFloat("0." + ((x + "").split(".")[1]));
Solution desription step by step:
parseFloat() for guaranteeing input cocrrection
Math.abs() for avoiding problems with negative numbers
n = parseInt(x) for getting decimal part
x - n for substracting decimal part
We have now number with zero decimal part, but JavaScript could give us additional floating part digits, which we do not want
So, limit additional digits by calling toFixed() with count of digits in floating part of original float number x. Count is calculated as difference between length of original number x and number n in their string representation.
This function splits float number into integers and returns it in array:
function splitNumber(num)
{
num = (""+num).match(/^(-?[0-9]+)([,.][0-9]+)?/)||[];
return [ ~~num[1], +(0+num[2])||0 ];
}
console.log(splitNumber(3.02)); // [ 3, 0.2 ]
console.log(splitNumber(123.456)); // [ 123, 0.456 ]
console.log(splitNumber(789)); // [ 789, 0 ]
console.log(splitNumber(-2.7)); // [ -2, 0.7 ]
console.log(splitNumber("test")); // [ 0, 0 ]
You can extend it to only return existing numbers and null if no number exists:
function splitNumber(num)
{
num = (""+num).match(/^(-?[0-9]+)([,.][0-9]+)?/);
return [ num ? ~~num[1] : null, num && num[2] ? +(0 + num[2]) : null ];
}
console.log(splitNumber(3.02)); // [ 3, 0.02 ]
console.log(splitNumber(123.456)); // [ 123, 0.456 ]
console.log(splitNumber(789)); // [ 789, null ]
console.log(splitNumber(-2.7)); // [ -2, 0.7 ]
console.log(splitNumber("test")); // [ null, null ]
You can also truncate the number
function decimals(val) {
const valStr = val.toString();
const valTruncLength = String(Math.trunc(val)).length;
const dec =
valStr.length != valTruncLength
? valStr.substring(valTruncLength + 1)
: "";
return dec;
}
console.log("decimals: ", decimals(123.654321));
console.log("no decimals: ", decimals(123));
The following function will return an array which will have 2 elements. The first element will be the integer part and the second element will be the decimal part.
function splitNum(num) {
num = num.toString().split('.')
num[0] = Number(num[0])
if (num[1]) num[1] = Number('0.' + num[1])
else num[1] = 0
return num
}
//call this function like this
let num = splitNum(3.2)
console.log(`Integer part is ${num[0]}`)
console.log(`Decimal part is ${num[1]}`)
//or you can call it like this
let [int, deci] = splitNum(3.2)
console.log('Intiger part is ' + int)
console.log('Decimal part is ' + deci)
For example for add two numbers
function add(number1, number2) {
let decimal1 = String(number1).substring(String(number1).indexOf(".") + 1).length;
let decimal2 = String(number2).substring(String(number2).indexOf(".") + 1).length;
let z = Math.max(decimal1, decimal2);
return (number1 * Math.pow(10, z) + number2 * Math.pow(10, z)) / Math.pow(10, z);
}
float a=3.2;
int b=(int)a; // you'll get output b=3 here;
int c=(int)a-b; // you'll get c=.2 value here

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