"Copyright The HR-XML Consortium. All Rights Reserved. http://www.hr-xml.org" Name: RoundingTypes.xsd Status: Draft Date this version: 2007-04-15 Purpose: Defines the rounding rules Author(s): Kim Bartkus, SIDES workgroup Terms of license can be found in license.txt. round-down: The discarded digits are ignored; the result is unchanged (round toward 0, truncate): 1.123 --> 1.12 1.128 --> 1.12 1.125 --> 1.12 1.135 --> 1.13 round-half-up: If the discarded digits represent greater than or equal to half (0.5) then the result should be incremented by 1; otherwise the discarded digits are ignored: 1.123 --> 1.12 1.128 --> 1.13 1.125 --> 1.13 1.135 --> 1.14 round-half-even: If the discarded digits represent greater than half (0.5) then the result coefficient is incremented by 1; if they represent less than half, then the result is not adjusted; otherwise the result is unaltered if its rightmost digit is even, or incremented by 1 if its rightmost digit is odd (to make an even digit): 1.123 --> 1.12 1.128 --> 1.13 1.125 --> 1.12 1.135 --> 1.14 round-ceiling: Round toward positive infinity: If all of the discarded digits are zero or if the sign is negative the result is unchanged; otherwise, the result is incremented by 1 1.123 --> 1.13 1.128 --> 1.13 -1.123 --> -1.12 -1.128 --> -1.12 round-floor: Round toward negative infinty: If all of the discarded digits are zero or if the sign is positive the result is unchanged; otherwise, the absolute value of the result is incremented by 1 1.123 --> 1.12 1.128 --> 1.12 -1.123 --> -1.13 -1.128 --> -1.13 round-half-down: If the discarded digits represent greater than half (0.5) then the result is incremented by 1; otherwise the discarded digits are ignored: 1.123 --> 1.12 1.128 --> 1.13 1.125 --> 1.12 1.135 --> 1.13 round-up: Round away from 0: If all of the discarded digits are zero the result is unchanged, otherwise the result is incremented by 1 1.123 --> 1.13 1.128 --> 1.13 1.125 --> 1.13 1.135 --> 1.14