Round to n Significant Figures in SQL
I would like to be able to round a number to n significant figures in SQL. So:
123.456 rounded to 2sf would give 120
0.00123 rounded to 2sf would give 0.0012
I am aware of the ROUND() function, which rounds to n deci开发者_如何学Cmal places rather than significant figures.
select round(@number,@sf-1- floor(log10(abs(@number))))
should do the trick !
Successfully tested on your two examples.
Edit : Calling this function on @number=0 won't work. You should add a test for this before using this code.
create function sfround(@number float, @sf int) returns float as
begin
declare @r float
select @r = case when @number = 0 then 0 else round(@number ,@sf -1-floor(log10(abs(@number )))) end
return (@r)
end
Adapted the most popular answer by Brann to MySQL for those who come looking like me.
CREATE FUNCTION `sfround`(num FLOAT, sf INT) # creates the function
RETURNS float # defines output type
DETERMINISTIC # given input, will return same output
BEGIN
DECLARE r FLOAT; # make a variable called r, defined as a float
IF( num IS NULL OR num = 0) THEN # ensure the number exists, and isn't 0
SET r = num; # if it is; leave alone
ELSE
SET r = ROUND(num, sf - 1 - FLOOR(LOG10(ABS(num))));
/* see below*/
END IF;
RETURN (r);
END
/* Felt too long to put in comment */
ROUND(num, sf - 1 - FLOOR(LOG10(ABS(num))))
- The part that does the work - uses ROUND function on the number as normal, but the length to be rounded to is calculated
- ABS ensures positive
- LOG10 gets the number of digits greater than 0 in the number
- FLOOR gets the largest integer smaller than the resultant number
- So always rounds down and gives an integer
- sf - 1 - FLOOR(...) gives a negative number
works because ROUND(num, -ve num) rounds to the left of the decimal point
For just a one off, ROUND(123.456, -1) and ROUND(0.00123,4) return the requested answers ((120, 0.0012)
I think I've managed it.
CREATE FUNCTION RoundSigFig(@Number float, @Figures int)
RETURNS float
AS
BEGIN
DECLARE @Answer float;
SET @Answer = (
SELECT
CASE WHEN intPower IS NULL THEN 0
ELSE FLOOR(fltNumber * POWER(CAST(10 AS float), intPower) + 0.5)
* POWER(CAST(10 AS float), -intPower)
END AS ans
FROM (
SELECT
@Number AS fltNumber,
CASE WHEN @Number > 0
THEN -((CEILING(LOG10(@Number)) - @Figures))
WHEN @Number < 0
THEN -((FLOOR(LOG10(@Number)) - @Figures))
ELSE NULL END AS intPower
) t
);
RETURN @Answer;
END
You could divide by 100 before rounding and then multiplying by 100...
精彩评论