Prime Number Table Function

Jul 26, 2006

Creates a table of prime numbers, starting at 2 up to a maximum number.

Makes use of dbo.F_TABLE_NUMBER_RANGE, which is found here:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=47685

create function dbo.F_TABLE_PRIME(@MaxNumber bigint)
returns @t table (i bigint primary key) as
begin
insert @t select NUMBER from dbo.F_TABLE_NUMBER_RANGE(2, @MaxNumber)

declare @i bigint
set @i = 1
while 1 = 1
begin
select @i = min(i) from @t where i > @i
if @i is null or @i * @i > @MaxNumber break
delete @t where i > @i and i % @i = 0
end
return
end
go

select * from dbo.F_TABLE_PRIME(100000) order by iCan we improve on the speed?



Ryan Randall
www.monsoonmalabar.com London-based IT consultancy

Solutions are easy. Understanding the problem, now, that's the hard part.

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Nth Prime Number

Jul 27, 2006

This function returns the nth prime...

create function dbo.F_NTH_PRIME(@n bigint) returns bigint as
begin
declare @MaxNumber bigint, @i bigint
set @MaxNumber = case when @n <=6 then 20 else @n * log(@n) + @n * log(log(@n)) end

declare @t table (n bigint identity(1, 1), i bigint)
insert @t select i from dbo.F_TABLE_PRIME(@MaxNumber)
select @i = i from @t where n = @n

return @i
end

--calculation (ran in 2 seconds for me)
select n, dbo.F_NTH_PRIME(n) as 'nth prime' from (
select 1 n union select 2 union select 3 union select 10 union
select 25 union select 100 union select 1000 union select 9593 union select 10000) a

/*results
n nth prime
----------- --------------------
1 2
2 3
3 5
10 29
25 97
100 541
1000 7919
9593 100003
10000 104729
*/For dbo.F_TABLE_PRIME, see http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=69646


Ryan Randall
www.monsoonmalabar.com London-based IT consultancy

Solutions are easy. Understanding the problem, now, that's the hard part.

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Number Table Function

Mar 29, 2005

This script is for an in-line table function, F_TABLE_NUMBER_RANGE, that generates a number table. The input parameters are the @START_NUMBER and @END_NUMBER. It returns a sorted result set containing all intergers from @START_NUMBER to @END_NUMBER inclusive.

This is an improved version of a script that I posted on a topic a few weeks ago. I modified it to cross join fewer tables based on powers of 16, instead of powers of 2, because I found that this compiled and ran much faster for small result sets (less than 10,000 rows).

This is the link to the other post:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=46252&whichpage=5





SET QUOTED_IDENTIFIER ON
GO
SET ANSI_NULLS ON
GO
if exists
(select * from dbo.sysobjects
where id = object_id(N'[dbo].[F_TABLE_NUMBER_RANGE]')
and xtype in (N'FN', N'IF', N'TF'))
drop function [dbo].[F_TABLE_NUMBER_RANGE]
GO
create function dbo.F_TABLE_NUMBER_RANGE
(
@START_NUMBERint,
@END_NUMBERint
)
/*
This function returns an integer table containing all integers
in the range of@START_NUMBER through @END_NUMBER, inclusive.
The maximum number of rows that this function can return
is 16777216.
*/

returns table
as

return
(
selecttop 100 percent
NUMBER = (a.NUMBER+b.NUMBER)+
-- Add the starting number for the final result set
-- The case is needed, because the start and end
-- numbers can be passed in any order
case
when @START_NUMBER <= @END_NUMBER
then @START_NUMBER
else @END_NUMBER
end
from
(
Selecttop 100 percent
NUMBER = convert(int,N01+N02+N03)
From
-- Cross rows from 3 tables based on powers of 16
-- Maximum number of rows from cross join is 4096, 0 to 4095
( select N01 = 0 union all select 1 union all select 2 union all
select 3 union all select 4 union all select 5 union all
select 6 union all select 7 union all select 8 union all
select 9 union all select 10 union all select 11 union all
select 12 union all select 13 union all select 14 union all
select 15 ) n01
cross join
( select N02 = 0 union all select 16 union all select 32 union all
select 48 union all select 64 union all select 80 union all
select 96 union all select 112 union all select 128 union all
select 144 union all select 160 union all select 176 union all
select 192 union all select 208 union all select 224 union all
select 240 ) n02
cross join
( select N03 = 0 union all select 256 union all select 512 union all
select 768 union all select 1024 union all select 1280 union all
select 1536 union all select 1792 union all select 2048 union all
select 2304 union all select 2560 union all select 2816 union all
select 3072 union all select 3328 union all select 3584 union all
select 3840 ) n03
where
-- Minimize the number of rows crossed by selecting only rows
-- with a value less the the square root of rows needed.
N01+N02+N03 <
-- Square root of total rows rounded up to next whole number
convert(int,ceiling(sqrt(abs(@START_NUMBER-@END_NUMBER)+1)))
order by
1
) a
cross join
(
Selecttop 100 percent
NUMBER =
convert(int,
(N01+N02+N03) *
-- Square root of total rows rounded up to next whole number
convert(int,ceiling(sqrt(abs(@START_NUMBER-@END_NUMBER)+1)))
)
From
-- Cross rows from 3 tables based on powers of 16
-- Maximum number of rows from cross join is 4096, 0 to 4095
( select N01 = 0 union all select 1 union all select 2 union all
select 3 union all select 4 union all select 5 union all
select 6 union all select 7 union all select 8 union all
select 9 union all select 10 union all select 11 union all
select 12 union all select 13 union all select 14 union all
select 15 ) n01
cross join
( select N02 = 0 union all select 16 union all select 32 union all
select 48 union all select 64 union all select 80 union all
select 96 union all select 112 union all select 128 union all
select 144 union all select 160 union all select 176 union all
select 192 union all select 208 union all select 224 union all
select 240 ) n02
cross join
( select N03 = 0 union all select 256 union all select 512 union all
select 768 union all select 1024 union all select 1280 union all
select 1536 union all select 1792 union all select 2048 union all
select 2304 union all select 2560 union all select 2816 union all
select 3072 union all select 3328 union all select 3584 union all
select 3840 ) n03
where
-- Minimize the number of rows crossed by selecting only rows
-- with a value less the the square root of rows needed.
N01+N02+N03 <
-- Square root of total rows rounded up to next whole number
convert(int,ceiling(sqrt(abs(@START_NUMBER-@END_NUMBER)+1)))
order by
1
) b
where
a.NUMBER+b.NUMBER <
-- Total number of rows
abs(@START_NUMBER-@END_NUMBER)+1and
-- Check that the number of rows to be returned
-- is less than or equal to the maximum of 16777216
case
when abs(@START_NUMBER-@END_NUMBER)+1 <= 16777216
then 1
else 0
end = 1
order by
1
)

GO
GRANT SELECT ON [dbo].[F_TABLE_NUMBER_RANGE] TO [public]
GO

-- Demo using the function to ruturn numbers 1 to 2000
select NUMBER from dbo.F_TABLE_NUMBER_RANGE(1,2000)

-- Demo using the function to ruturn numbers -1500 to 2000
select NUMBER from dbo.F_TABLE_NUMBER_RANGE(-1500,2000)







CODO ERGO SUM

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[Code] .....

Output
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1035

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-----------
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-----------
0

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-----------
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But a set of (4) repeated equal values will return 0 again.

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insert into @t ( ID ) values (-997777), (-997777), (-997777), (-997777);
select checksum_agg( ID ) from @t;
-----------
0

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insert into @t ( ID ) values (-997777), (8112), (-997777), (8112);
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-----------
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need help
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this is the table 1 i select from
ID fname new_date val_holiday
----------------------------------------------------

111 aaaa 15/03/2008 1
111 aaaa 16/03/2008 1
111 aaaa 18/03/2008 1
111 aaaa 19/03/2008 1
111 aaaa 20/03/2008 1
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222 bbb 03/05/2008 3
222 bbb 04/05/2008 3
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222 bbb 07/05/2008 3
222 bbb 08/05/2008 3
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333 ccc 03/04/2008 4
333 ccc 04/04/2008 4

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----------------------------------
ID fname new_date val_holiday unique number date_time
--------------------------------------------------------------------------------------------------------------------

111 aaaa 15/03/2008 1 666 15/04/2008 17:03
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222 bbb 08/05/2008 3 666 15/04/2008 17:03
222 bbb 09/05/2008 3 666 15/04/2008 17:03

333 ccc 03/04/2008 4 666 15/04/2008 17:03
333 ccc 04/04/2008 4 666 15/04/2008 17:03

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next insert ......
ID fname new_date val_holiday unique number date_time
--------------------------------------------------------------------------------------------------------------------

111 aaaa 15/03/2008 1 667 15/04/2008 17:15
111 aaaa 16/03/2008 1 667 15/04/2008 17:15
111 aaaa 18/03/2008 1
111 aaaa 19/03/2008 1 667 15/04/2008 17:15

.........................
.....................................................................667 15/04/2008 17:15


next insert ......
ID fname new_date val_holiday unique number date_time
--------------------------------------------------------------------------------------------------------------------

111 aaaa 15/03/2008 1 668 15/04/2008 08:15
111 aaaa 16/03/2008 1 668 15/04/2008 08:15
111 aaaa 18/03/2008 1
111 aaaa 19/03/2008 1 668 15/04/2008 08:15

.........................
.....................................................................668 15/04/2008 08:15



TNX

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(
-- Add the parameters for the function here
@Source_Tbl sysname
)
RETURNS TABLE
AS
RETURN
(
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)

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FUNCTION MyFunction
( )
RETURNS @retTable
(
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@Field2 varchar(50)
)
AS
BEGIN
-- the problem here is that I need to call SP1 and assign it's resulting data into the
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DECLARE @table table@table=EXEC sp_pkeys MyTable
That of course just returns you the RETURN_VALUE instead of the resultset it output.  Ugh.  Ok, so I finally decide to just bite the bullet, and I grab the code from sp_pkeys and make my own little function called fn_pkeys.  Since I might also want to be able to 'force' the primary keys (Maybe the table doesn't really have one, but logically it does), I decide it'll pass back a comma-delimited varchar of columns that make up the primary key.  Ok, I test it and it works great.
Now, I'm happily going along and building my routine, and realize, hey, I don't really want that in a comma-delimited varchar, I want to use it in one of my queries, and I have this nice little table-valued function I call split, that takes a comma-delimited varchar, and returns a table... So I preceed to try it out...
SELECT *FROM Split(fn_pkeys('MyTable'),DEFAULT)
Syntax Error.  Ugh.  Eventually, I even try:
SELECT *FROM Split(substring('abc,def',2,6),DEFAULT)
Syntax Error.
Hmm...What am I doing wrong here, or can't you use a scalar-valued function as a parameter into a table-valued function?
SELECT *FROM Split('bc,def',DEFAULT) works just fine.
So my questions are:
Is there any way to programmatically capture a resultset that is being output from a stored procedure for use in the stored procedure that called it?
Is there any way to pass a scalar-valued function as a parameter into a table-valued function?
Oh, this works as well as a work around, but I'm more interested in if there is a way without having to workaround:
DECLARE @tmp varchar(8000)
SET @tmp=(SELECT dbo.fn_pkeys('MyTable'))
SELECT *
FROM Split(@tmp,DEFAULT)

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@param2 int
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RETURN
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Code Snippet

declare @IdTable table
(
EmployeeId nvarchar( 16 ) not null
)
insert into @IdTable
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/*
I need to run this query for every EmployeeId value in @IdTable and return the results from the stored proc as a single result set.
*/
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ALTER PROCEDURE [dbo].[rpt]

(


@CourtIDs as nvarchar(MAX) -- @CourtIDs = '1231,3432,1234,3421'

)
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Hi

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thanks

ASM

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