ADDITIONAL SYSTEM INFORMATION :
any system - since this was intended, however it is not correct

A DESCRIPTION OF THE PROBLEM :
HALF_UP should mean that a half-point number needs to be rounded towards the bigger number
1.5 rounded HALF_UP = 2 (this is implemented OK)
-1.5 rounded HALF_UP should be rounded to the bigger value, that is -1
=> implementation o HALF_UP for negative numbers is wrong
similarly,
HALF_DOWN should mean that a half-point number needs to be rounded towards the smaller number
1.5 rounded HALF_DOWN = 1 (this is implemented OK)
-1.5 rounded HALF_DOWN should be rounded to the smaller value, that is -2
=> implementation o HALF_DOWN for negative numbers is wrong

STEPS TO FOLLOW TO REPRODUCE THE PROBLEM :
any usage of the HALF_UP or HALF_DOWN is not working mathematically correct
even the javadocs describe the desired behavior incorrectly => incorrect design

EXPECTED VERSUS ACTUAL BEHAVIOR :
EXPECTED -
-1.5 rounded HALF_UP is: -1
-1.5 rounded HALF_DOWN is:-2
ACTUAL -
-1.5 rounded HALF_UP is: -2
-1.5 rounded HALF_DOWN is:-1

---------- BEGIN SOURCE ----------
NumberFormat nf = NumberFormat.getInstance();
nf.setMaximumFractionDigits(0);
nf.setMinimumFractionDigits(0);

nf.setRoundingMode(RoundingMode.HALF_UP);
System.out.println("-1.5 rounded HALF_UP is: " + nf.format(-1.5));
nf.setRoundingMode(RoundingMode.HALF_DOWN);
System.out.println("-1.5 rounded HALF_DOWN is:" + nf.format(-1.5));
---------- END SOURCE ----------

FREQUENCY : always