Doubles just don't work like you think they do.
They are stored in a binary form, not a decimal form. Just like '1 divided by 3' is not representable in a decimal double (0.3333333333
is not enough, it's infinite 3s, so not representable, so you get a rounding error), but '1 divided by 5' is representable just fine, there are numbers that are representable, and numbers that end up rounded when storing things in a double
type, but crucially things that seem perfectly roundable in decimal may not be roundable in binary.
Given that they don't match up, your idea of 'eh, I will multiply by 4, turn it to a long, then convert back to a double, then divide by 1000' is not going to let those digits go through unmolested. This is not how you round things, as you're introducing additional loss in addition to the loss you already started out with due to using doubles.
You have 3 solutions available:
Just print it properly
A double cannot be considered to 'have 4 digits after the decimal separator' because a double isn't decimal.
Therefore, it doesn't even make sense to say: Please round this double to at most 4 fractional digits.
That is the crucial realisation. Once you understand that you'll be well along the way :)
What you CAN do is 'please take this double and print it by using no more than 4 digits after the decimal separator'.
String out = String.format("%.4f", 5.52);
or you can use System.printf(XXX)
which is short for System.print(String.format(XXX))
.
This is probably what you want
forget doubles entirely
For some domains its better to ditch doubles and switch to longs or ints. For example, if you're doing finances, it's better to store the atomic unit as per that currency in a long, and forego doubles instead. So, for dollars, store cents-in-a-long. For euros, the same. For bitcoin, store satoshis. Write custom rendering to render back in a form that is palatable for that currency:
long value = 450; // $4.50
String formatCurrency(long cents) {
return String.format("%s%s%d.%02d", cents < 0 ? "-" : " ", "$", Math.abs(cents) / 100, Math.abs(cents) % 100);
}
Use BigDecimal
This is generally more trouble than it is worth, but it stores every digit, decimally - it represent everything decimal notation can (and it also cannot represent anything else - 1 divided by 3 is impossible in BigDecimal).