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RoundBanker ( Number ; Precision )

Round numbers by "Banker's Rounding" (round half to even).

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Koji Takeuchi - Show more from this author TonicNote, Inc. https://tonicnote.com

  Function definition: (Copy & paste into FileMaker's Edit Custom Function window)

/* --------------------------------------------------------------------------- RoundBanker ( Number ; Precision ) 2022-10-13, Koji Takeuchi <takeuchi@nemoux.com> description: Round numbers by "Banker's Rounding" (round half to even). Example: RoundBanker ( 54.34 ; 1 ) -> 54.3 RoundBanker ( 54.36 ; 1 ) -> 54.4 RoundBanker ( 54.35 ; 1 ) -> 54.4 RoundBanker ( 54.45 ; 1 ) -> 54.4 --------------------------------------------------------------------------- */ Let ( [ _NUMBER = Number ; _PRECISION = Precision ; _FLG_POSITIVE = _PRECISION ≥ 0 ; _AMOUNTMULTIPLY = GetAsNumber ( 1 & Right ( "000000000000000000000000000000" ; Abs ( _PRECISION ) ) ) ; _MULTIPLIED = Case ( _FLG_POSITIVE ; _NUMBER * _AMOUNTMULTIPLY ; _NUMBER / _AMOUNTMULTIPLY ) ; _TRUNCATED = Case ( _FLG_POSITIVE ; Truncate ( _NUMBER ; _PRECISION + 1 ) ; Truncate ( _NUMBER ; _PRECISION + 1 ) / _AMOUNTMULTIPLY ) ; _FLG_5 = Right ( _TRUNCATED ; 1 ) = 5 ; _FLG_ODD = Case ( _FLG_POSITIVE ; Mod ( Right ( Truncate ( _NUMBER ; _PRECISION ) ; 1 ) ; 2 ) ; Mod ( Right ( Truncate ( _NUMBER ; _PRECISION ) / _AMOUNTMULTIPLY ; 1 ) ; 2 ) ) ; _RESULT = Case ( not _FLG_5 ; Round ( _NUMBER ; _PRECISION ) ; _FLG_ODD and _FLG_POSITIVE ; Ceiling ( _MULTIPLIED ) / _AMOUNTMULTIPLY ; _FLG_ODD and not _FLG_POSITIVE ; Ceiling ( _MULTIPLIED ) * _AMOUNTMULTIPLY ; _FLG_POSITIVE ; Floor ( _MULTIPLIED ) / _AMOUNTMULTIPLY ; // not _FLG_POSITIVE Floor ( _MULTIPLIED ) * _AMOUNTMULTIPLY ) ] ; _RESULT ) Click to copy

RoundBanker ( Number ; Precision )
2022-10-13, Koji Takeuchi

description:
Round numbers by "Banker's Rounding" (round half to even).

Example:
RoundBanker ( 54.34 ; 1 )
-> 54.3
RoundBanker ( 54.36 ; 1 )
-> 54.4
RoundBanker ( 54.35 ; 1 )
-> 54.4
RoundBanker ( 54.45 ; 1 )
-> 54.4

 

Comments

		Michael Horak, *COMMENT Visual Realisation Nov 4, 2022
Compare: https://www.briandunning.com/cf/408

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