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= 0.5; otherwise, behaves as for Down. * Note that this is the rounding mode commonly taught at school. */ case HalfUp; /** * 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. */ case HalfDown; /** * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards positive infinity. * * If the result is positive, behaves as for HalfUp; if negative, behaves as for HalfDown. */ case HalfCeiling; /** * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards negative infinity. * * If the result is positive, behaves as for HalfDown; if negative, behaves as for HalfUp. */ case HalfFloor; /** * Rounds towards the "nearest neighbor" unless both neighbors are equidistant, in which case rounds towards the even neighbor. * * Behaves as for HalfUp if the digit to the left of the discarded fraction is odd; * behaves as for HalfDown 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. */ case HalfEven; /** * @deprecated Use RoundingMode::Unnecessary instead. */ public const UNNECESSARY = self::Unnecessary; /** * @deprecated Use RoundingMode::Up instead. */ public const UP = self::Up; /** * @deprecated Use RoundingMode::Down instead. */ public const DOWN = self::Down; /** * @deprecated Use RoundingMode::Ceiling instead. */ public const CEILING = self::Ceiling; /** * @deprecated Use RoundingMode::Floor instead. */ public const FLOOR = self::Floor; /** * @deprecated Use RoundingMode::HalfUp instead. */ public const HALF_UP = self::HalfUp; /** * @deprecated Use RoundingMode::HalfDown instead. */ public const HALF_DOWN = self::HalfDown; /** * @deprecated Use RoundingMode::HalfCeiling instead. */ public const HALF_CEILING = self::HalfCeiling; /** * @deprecated Use RoundingMode::HalfFloor instead. */ public const HALF_FLOOR = self::HalfFloor; /** * @deprecated Use RoundingMode::HalfEven instead. */ public const HALF_EVEN = self::HalfEven; }