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Par2: Comparing REALs
2002-04-24 -- Randy Goodhew
 
What I use for REAL comparisons: Returns: -1 = a is less than b 1 = a is greater than b 0 = a is equal to b ! RealCompare(REAL a,REAL b,REAL order=0.0001),LONG RealCompare PROCEDURE(REAL a,REAL b,REAL order) e:LessThan EQUATE(-1) e:Equal EQUATE(0) e:GreaterThan EQUATE(1) Result LONG,AUTO CODE a = ROUND(a,order) b = ROUND(b,order) IF a < b ; Result = e:LessThan ELSIF a > b ; Result = e:GreaterThan ELSIF a = b ; Result = e:Equal END ! if RETURN Result John Davidson notes: The "scientific" way of cpmparing reals is to check whether they differ by less than a small value: ie IF ABS( A - B ) > 0.0001 THEN ! they are unequal ELSE ! they are equal The small value is chosen to be significantly smaller than the typical values being compared. Richard Taylor adds: If you're going to ROUND anyway, why not just change to DECIMAL instead and eliminate all the problems. That way the rounding is automatic, math is done as BCD, and equivalence comaprisons work correctly.


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