Select Cast('100.1234' as float)
give me the result 100.1234
Now when I convert it back to char I want exactly 100.1234
Select Convert(char(100),Cast('100.1234' as float))
Gives me 100.123 (Here I was expecting 100.1234)
When I do
Select STR(Cast('100.1234' as float),25,4)
I get back the result as 100.1234
However here I am not sure how many digits do I have after the decimal
point. If I put some value like
Select STR(Cast('100.1234' as float),25,8)
I get 0's appended to it, which is again not desired.
I can't take full credit for this. I want to share this with Jeff Moden who did the important research for this calculation here.
All I did was just adapting some old code according to the mantissa finding Jeff made and optimized it a little
Some test codeDECLARE@SomeNumber FLOAT, @BinFloat BINARY(8)
SELECT@SomeNumber = -185.6125, @BinFloat = CAST(@SomeNumber AS BINARY(8))
SELECT@SomeNumber AS [Original], CAST(@SomeNumber AS BINARY(8)) AS [Binary], dbo.fnBinaryFloat2Float(CAST(@SomeNumber AS BINARY(8))) AS [Converted], @SomeNumber - dbo.fnBinaryFloat2Float(CAST(@SomeNumber AS BINARY(8))) AS [Error]
And here is the code for the function.CREATE FUNCTION dbo.fnBinaryFloat2Float ( @BinaryFloat BINARY(8) ) RETURNS FLOAT AS BEGIN DECLARE@Part TINYINT, @PartValue TINYINT, @Mask TINYINT, @Mantissa FLOAT, @Exponent SMALLINT, @Bit TINYINT, @Ln2 FLOAT, @BigValue BIGINT
WHILE @Part <= 8 BEGIN SELECT@Part = @Part + 1, @PartValue = CAST(SUBSTRING(@BinaryFloat, @Part, 1) AS TINYINT), @Mask =CASE WHEN @Part = 2 THEN 8 ELSE 128 END
WHILE @Mask > 0 BEGIN IF @PartValue & @Mask > 0 SET @Mantissa = @Mantissa + EXP(-@Bit * @Ln2)
SELECT@Bit = @Bit + 1, @Mask = @Mask / 2 END END
RETURNSIGN(@BigValue) * @Mantissa * POWER(CAST(2 AS FLOAT), @Exponent - 1023) END Thanks again Jeff!
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