
Caché SQL Reference
ROUND



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A numeric function that rounds or truncates a number at a specified number of digits.
Synopsis
ROUND(numericexpr,scale[,flag])
{fn ROUND(numericexpr,scale[,flag])}
This function can be used to either round or truncate a number to the specified number of decimal digits.
ROUND rounds or truncates
numericexpr to
scale places, counting from the decimal point. When rounding, the number 5 is always rounded up. Leading and trailing zeroes are removed before the
ROUND operation.
ROUND returns the same data type as
numericexpr.

If
scale is a positive number, rounding is performed at that number of digits to the right of the decimal point. If
scale is equal to or larger than the number of decimal digits, no rounding or zero filling occurs.

If
scale is zero, rounding is to the closest whole integer. In other words, rounding is performed at zero digits to the right of the decimal point; all decimal digits and the decimal point itself are removed.

If
scale is a negative number, rounding is performed at that number of digits to the left of the decimal point. If
scale is equal to or larger than the number of integer digits in the rounded result, zero is returned.

If
numericexpr is zero (however expressed: 00.00, 0, etc.)
ROUND returns 0 (zero) with no decimal digits, regardless of the
scale value.

Note that the
ROUND return value is always normalized, removing trailing zeros. For example,
ROUND(10.004,2) returns 10, not 10.00. When a fixed number of decimal digits is important — for example, when representing monetary amounts — the user must use the SQL scale parameter to reinstate the proper number of trailing zeros following the rounding operation.
ROUND and
TRUNCATE perform similar operations; they both can be used to decrease the number of significant decimal or integer digits of a number.
ROUND can be used to either round or truncate a number.
TRUNCATE can only be used to truncate a number.
The following example uses a
scale of 0 (zero) to round several fractions to integers. It shows that 5 is always rounded up:
SELECT ROUND(5.99,0) AS RoundUp,
ROUND(5.5,0) AS Round5,
{fn ROUND(5.329,0)} AS Roundoff
The following example truncates the same fractional numbers as the previous example:
SELECT ROUND(5.99,0,1) AS Trunc1,
ROUND(5.5,0,1) AS Trunc2,
{fn ROUND(5.329,0,1)} AS Trunc3
The following
ROUND functions round and truncate a negative fractional number:
SELECT ROUND(0.987,2,0) AS Round1,
ROUND(0.987,2,1) AS Trunc1
The following example rounds off pi to four decimal digits:
SELECT {fn PI()} AS ExactPi, ROUND({fn PI()},4) AS ApproxPi
The following example specifies a
scale larger than the number of decimal digits:
SELECT {fn ROUND(654.98700,9)} AS Rounded
it returns 654.987 (Caché removed the trailing zeroes before the rounding operation; no rounding or zero padding occurred).
The following example rounds off the value of
Salary to the nearest thousand dollars:
SELECT Salary,ROUND(Salary, 3) AS PayBracket
FROM Sample.Employee
ORDER BY Salary
Note that if
Salary is less than five hundred dollars, it is rounded to 0 (zero).
In the following example each
ROUND specifies a negative
scale as large or larger than the number to be rounded:
SELECT {fn ROUND(987,3)} AS Round1,
{fn ROUND(487,3)} AS Round2,
{fn ROUND(987,4)} AS Round3,
{fn ROUND(987,5)} AS Round4
The first
ROUND function returns 1000, because the rounded result has more digits than the
scale. The other three
ROUND functions return 0 (zero).