Rounding mode to round towards positive infinity. If the
result is positive, behaves as for RoundingMode.UP;
if negative, behaves as for RoundingMode.DOWN. Note
that this rounding mode never decreases the calculated value.
This mode corresponds to the IEEE 754-2019 rounding-direction
attribute "roundTowardPositive".
Rounding mode to round towards zero. Never increments the digit prior to a discarded fraction (i.e., truncates). Note that this rounding mode never increases the magnitude of the calculated value. This mode corresponds to the IEEE 754-2019 rounding-direction attribute "roundTowardZero".
Rounding mode to round towards negative infinity. If the
result is positive, behave as for RoundingMode.DOWN;
if negative, behave as for RoundingMode.UP. Note that
this rounding mode never increases the calculated value.
This mode corresponds to the IEEE 754-2019 rounding-direction
attribute "roundTowardNegative".
Rounding mode to round towards "nearest neighbor"
unless both neighbors are equidistant, in which case round
down. Behaves as for RoundingMode.UP if the discarded
fraction is > 0.5; otherwise, behaves as for
RoundingMode.DOWN.
Rounding mode to round towards the "nearest neighbor"
unless both neighbors are equidistant, in which case, round
towards the even neighbor. Behaves as for
RoundingMode.HALF_UP if the digit to the left of the
discarded fraction is odd; behaves as for
RoundingMode.HALF_DOWN if it's even. Note that this
is the rounding mode that statistically minimizes cumulative
error when applied repeatedly over a sequence of calculations.
It is sometimes known as "Banker's rounding," and is
chiefly used in the USA.
This mode corresponds to the IEEE 754-2019 rounding-direction
attribute "roundTiesToEven".
Rounding mode to round towards "nearest neighbor"
unless both neighbors are equidistant, in which case round up.
Behaves as for RoundingMode.UP if the discarded
fraction is ≥ 0.5; otherwise, behaves as for
RoundingMode.DOWN. Note that this is the rounding
mode commonly taught at school.
This mode corresponds to the IEEE 754-2019 rounding-direction
attribute "roundTiesToAway".
Rounding mode to assert that the requested operation has an exact
result, hence no rounding is necessary. If this rounding mode is
specified on an operation that yields an inexact result, an
RangeError is thrown.
Rounding mode to round away from zero. Always increments the digit prior to a non-zero discarded fraction. Note that this rounding mode never decreases the magnitude of the calculated value.
Specifies a
rounding policyfor numerical operations capable of discarding precision. Each rounding mode indicates how the least significant returned digit of a rounded result is to be calculated. If fewer digits are returned than the digits needed to represent the exact numerical result, the discarded digits will be referred to as thediscarded fractionregardless the digits' contribution to the value of the number. In other words, considered as a numerical value, the discarded fraction could have an absolute value greater than one.Each rounding mode description includes a table listing how different two-digit decimal values would round to a one digit decimal value under the rounding mode in question. The result column in the tables could be gotten by creating a
BigDecimalnumber with the specified value, forming a MathContext object with the proper settings (precisionset to1, and theroundingModeset to the rounding mode in question), and calling round on this number with the properMathContext. A summary table showing the results of these rounding operations for all rounding modes appears below.