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= 0.5; otherwise, behaves as for DOWN. * Note that this is the rounding mode commonly taught at school. */ public const HALF_UP = 5; /** * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round down. * * Behaves as for UP if the discarded fraction is > 0.5; otherwise, behaves as for DOWN. */ public const HALF_DOWN = 6; /** * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards positive infinity. * * If the result is positive, behaves as for HALF_UP; if negative, behaves as for HALF_DOWN. */ public const HALF_CEILING = 7; /** * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards negative infinity. * * If the result is positive, behaves as for HALF_DOWN; if negative, behaves as for HALF_UP. */ public const HALF_FLOOR = 8; /** * Rounds towards the "nearest neighbor" unless both neighbors are equidistant, in which case rounds towards the even neighbor. * * Behaves as for HALF_UP if the digit to the left of the discarded fraction is odd; * behaves as for 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. */ public const HALF_EVEN = 9; }