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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.



Printed November 21, 2024, 10:39 am
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