FAQ Topic - How do I convert a Number into a String with exactly 2 decimal places? (2008-06-20)

[FAQ server]

-----------------------------------------------------------------------
FAQ Topic - How do I convert a Number into a String with
exactly 2 decimal places?
-----------------------------------------------------------------------

When formatting money for example, to format 6.57634 to
6.58, 6.5 to 6.50, and 6 to 6.00?

Rounding of x.xx5 is uncertain, as such numbers are not
represented exactly. See section 4.7 for Rounding issues.

N = Math.round(N*10 0)/100 only converts N to a Number of value
close to a multiple of 0.01; but document.write( N) does not give
trailing zeroes.

ECMAScript Ed. 3.0 (JScript 5.5 [but buggy] and JavaScript 1.5)
introduced N.toFixed, the main problem with this is the bugs in
JScripts implementation.

Most implementations fail with certain numbers, for example 0.07.
The following works successfully for M>0, N>0:

function Stretch(Q, L, c) { var S = Q
if (c.length>0) while (S.length<L) { S = c+S }
return S
}
function StrU(X, M, N) { // X>=0.0
var T, S=new String(Math.round(X*Number("1e"+N)))
if (S.search && S.search(/\D/)!=-1) { return ''+X }
with (new String(Stretch(S, M+N, '0')))
return substring(0, T=(length-N)) + '.' + substring(T)
}
function Sign(X) { return X>0 ? "+" : X<0 ? "-" : " " }
function StrS(X, M, N) { return Sign(X)+StrU(Math.abs(X), M, N) }
Number.prototype.toFixed = function(n){ return StrS(this,1,n) };

http://www.merlyn.demon.co.uk/js-round.htm

http://msdn2.microsoft.com/en-us/library/sstyff0z.aspx


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[Evertjan.]

FAQ server wrote on 20 jun 2008 in comp.lang.javas cript:

-----------------------------------------------------------------------
FAQ Topic - How do I convert a Number into a String with
exactly 2 decimal places?
-----------------------------------------------------------------------

I would like to add my latest version for 'any' integer d >= 0:

function round(n,d){
n = Math.floor(n*Math.pow(10,d)+.5);
if (d<1) return n;
var s = Math.abs(n).toString();
while (s.length<d+1) s = '0' + s;
return ((n<0) ?'-':'') + s.slice(0,-d) + '.' + s.slice(-d);
};

I do not trust internal rounding to be according to my definition.
I like the slice() string manpulation possibilities.

Shoot?

--
Evertjan.
The Netherlands.
(Please change the x'es to dots in my emailaddress)

[yukabuk]

You should write this...

var numberObj = new Number(6.57634);
var formattedNumber = numberObj.toFixed(2);

Graham

[Evertjan.]

yukabuk wrote on 20 jun 2008 in comp.lang.javas cript:

You should write this...

var numberObj = new Number(6.57634) ;
var formattedNumber = numberObj.toFix ed(2);

You? Why?

What are you responding on?

[please always quote on usenet]

--
Evertjan.
The Netherlands.
(Please change the x'es to dots in my emailaddress)

[Dr J R Stockton]

In comp.lang.javas cript message <Xn************ ********@194.10 9.133.242>
, Fri, 20 Jun 2008 13:26:35, Evertjan. <ex************ **@interxnl.net >
posted:

>FAQ server wrote on 20 jun 2008 in comp.lang.javas cript:

>-----------------------------------------------------------------------
FAQ Topic - How do I convert a Number into a String with
exactly 2 decimal places?
-----------------------------------------------------------------------

I would like to add my latest version for 'any' integer d >= 0:

Fails, I think, for n=1.11, d>21 ; also for n = infinity, NaN. Put your
function, followed by return round(X, N) in the second textarea of
<URL:http://www.merlyn.demo n.co.uk/js-round.htm#TRPFa nd press the
button.

>function round(n,d){
n = Math.floor(n*Ma th.pow(10,d)+.5 );
if (d<1) return n;
var s = Math.abs(n).toS tring();
while (s.length<d+1) s = '0' + s;
return ((n<0) ?'-':'') + s.slice(0,-d) + '.' + s.slice(-d);
};

I do not trust internal rounding to be according to my definition.
I like the slice() string manpulation possibilities.

Shoot?

The one in the FAQ includes provision for a fixed number of places, or
characters, before the decimal separator, which is useful for tables in
<pre>, etc.

It would be nicer, for those who recall FORTRAN convention, to use x
instead of n. And, to please IUPAP/SUNAMCO. .5 should be 0.5 .

Note that I don't use what the FAQ says.

--
(c) John Stockton, nr London UK. ?@merlyn.demon. co.uk Turnpike v6.05 MIME.
<URL:http://www.merlyn.demo n.co.uk/TP/BP/Delphi/&c., FAQqy topics & links;
<URL:http://www.merlyn.demo n.co.uk/clpb-faq.txt RAH Prins : c.l.p.b mFAQ;
<URL:ftp://garbo.uwasa.fi/pc/link/tsfaqp.zipTimo Salmi's Turbo Pascal FAQ.

[Evertjan.]

Dr J R Stockton wrote on 20 jun 2008 in comp.lang.javas cript:

>>I would like to add my latest version for 'any' integer d >= 0:

Fails, I think, for n=1.11, d>21 ; also for n = infinity, NaN.

With quoted 'any', I ment any reasonable. ;-)

Catching all possibilities makes the code sound but unreadable for
instruction.

Put your
function, followed by return round(X, N) in the second textarea of
<URL:http://www.merlyn.demo n.co.uk/js-round.htm#TRPFa nd press the
button.

Sorry, John, your server seems down.

--
Evertjan.
The Netherlands.
(Please change the x'es to dots in my emailaddress)

[Dr J R Stockton]

On Jun 21, 8:53*am, "Evertjan." <exjxw.hannivo. [e-mail] wrote:

Dr J R Stockton wrote on 20 jun 2008 in comp.lang.javas cript:

>I would like to add my latest version for 'any' integer d >= 0:

Fails, I think, for n=1.11, d>21 ; also for n = infinity, NaN. *

With quoted 'any', I ment any reasonable. ;-)

Catching all possibilities makes the code sound but unreadable for
instruction.

It is only necessary to include a test that s is all-digit, such as
if (/\D/.test(d)) return n // cannot cope

IMHO, d=0 should be allowed; it should give results such as "3." which
is deprecated but not wrong.

Sorry, John, your server seems down.

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platform as follows:
Saturday 21st June between 00:01 and 20:00 Hrs BST
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Mail: J.R.""""""""@ph ysics.org or (better) via Home Page at
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FAQish topics, acronyms, links, etc.; Date, Delphi, JavaScript, ...

[dhtml]

On Jun 19, 4:00*pm, "FAQ server" <javascr...@dot internet.bewrot e:

[snip]

ECMAScript Ed. 3.0 (JScript 5.5 [but buggy] and JavaScript 1.5)
introduced N.toFixed, the main problem with this is the bugs in
JScripts implementation.

The other problem is that internal representation and handling with
binary numbers leads to unintuitive results that seem wrong.

toFixed calls internal ToNumber which calls internal ToInteger, to get
the exact mathematical value of the number. This is then rounded to a
value of the Number type.

This is why Mozilla will give 1.1255.toFixed( 3) =1.125

javascript:aler t(1.1255.toFixe d(3))

javascript:aler t(1.1255 ===
1.1254999999999 999449329379785 922355949878692 626953125)

Method toFixed is pretty much useless.

[snip]

Garrett

--

[Richard Cornford]

dhtml wrote:

>On Jun 19, 4:00 pm, FAQ server wrote:
[snip]

>ECMAScript Ed. 3.0 (JScript 5.5 [but buggy] and JavaScript 1.5)
introduced N.toFixed, the main problem with this is the bugs in
JScripts implementation.

The other problem is that internal representation and handling
with binary numbers leads to unintuitive results that seem wrong.

The only factor in making binary number handling non-intuitive is that
most human intuition is heavily influenced by our use habitual of
decimal numbers. Decimal numbers have exactly the same issues in reality
(the decimal representation of 1 divided by 3, for example, is going to
imprecise or impractical), it is just the issues appear in unfamiliar
locations (with unfamiliar values).

toFixed calls internal ToNumber which calls internal ToInteger,
to get the exact mathematical value of the number. This is then
rounded to a value of the Number type.

Wouldn't it be a good idea to look at the specification before making
assertions like this? The algorithm for - toFixed - does not call
ToNumber at all and it only calls ToInteger on the value that is its
argument (the "fractionDigits " value).

This is why Mozilla will give 1.1255.toFixed( 3) =1.125

javascript:aler t(1.1255.toFixe d(3))

javascript:aler t(1.1255 ===
1.1254999999999 999449329379785 922355949878692 626953125)

Method toFixed is pretty much useless.

You may be attributing an issue to the wrong part of the process.
Remember that a numeric literal in source code must be translated into
an internal number value that is an IEEE double precision floating point
number, and that not all values that can be represented as a precise
decimal value can also be precisely represented as an IEEE double
precision floating point number. If you code the numeric literal
"1.1255" and it is translated into the nearest available IEEE double
precision floating point number representation then that happens at the
compiling stage (or thereabouts) so you shouldn't fault - toFixed - for
correctly handling that approximate value when it acts at runtime.

Richard.

[dhtml]

On Jun 21, 11:10 am, "Richard Cornford" <Rich...@litote s.demon.co.uk>
wrote:

dhtml wrote:

On Jun 19, 4:00 pm, FAQ server wrote:

>

toFixed calls internal ToNumber which calls internal ToInteger,
to get the exact mathematical value of the number. This is then
rounded to a value of the Number type.

Wouldn't it be a good idea to look at the specification before making
assertions like this? The algorithm for - toFixed - does not call
ToNumber at all and it only calls ToInteger on the value that is its
argument (the "fractionDigits " value).

Right.

toFixed calls ToInteger, which calls ToNumber.

Richard.