How to generate a range of numbers between two numbers? - sql

I have two numbers as input from the user, like for example 1000 and 1050.
How do I generate the numbers between these two numbers, using a sql query, in seperate rows? I want this:
1000
1001
1002
1003
.
.
1050

Select non-persisted values with the VALUES keyword. Then use JOINs to generate lots and lots of combinations (can be extended to create hundreds of thousands of rows and beyond).
Short and fast version (not that easy to read):
WITH x AS (SELECT n FROM (VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) v(n))
SELECT ROW_NUMBER() OVER (ORDER BY (SELECT NULL))
FROM x ones, x tens, x hundreds, x thousands
ORDER BY 1
Demo
More verbose version:
SELECT ones.n + 10*tens.n + 100*hundreds.n + 1000*thousands.n
FROM (VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) ones(n),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) tens(n),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) hundreds(n),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) thousands(n)
ORDER BY 1
Demo
Both versions can easily be extended with a WHERE clause, limiting the output of numbers to a user-specified range. If you want to reuse it, you can define a table-valued function for it.

an alternative solution is recursive CTE:
DECLARE #startnum INT=1000
DECLARE #endnum INT=1050
;
WITH gen AS (
SELECT #startnum AS num
UNION ALL
SELECT num+1 FROM gen WHERE num+1<=#endnum
)
SELECT * FROM gen
option (maxrecursion 10000)

SELECT DISTINCT n = number
FROM master..[spt_values]
WHERE number BETWEEN #start AND #end
Demo
Note that this table has a maximum of 2048 because then the numbers have gaps.
Here's a slightly better approach using a system view(since from SQL-Server 2005):
;WITH Nums AS
(
SELECT n = ROW_NUMBER() OVER (ORDER BY [object_id])
FROM sys.all_objects
)
SELECT n FROM Nums
WHERE n BETWEEN #start AND #end
ORDER BY n;
Demo
or use a custom a number-table. Credits to Aaron Bertrand, i suggest to read the whole article: Generate a set or sequence without loops

The best option I have used is as follows:
DECLARE #min bigint, #max bigint
SELECT #Min=919859000000 ,#Max=919859999999
SELECT TOP (#Max-#Min+1) #Min-1+row_number() over(order by t1.number) as N
FROM master..spt_values t1
CROSS JOIN master..spt_values t2
I have generated millions of records using this and it works perfect.

I recently wrote this inline table valued function to solve this very problem. It's not limited in range other than memory and storage. It accesses no tables so there's no need for disk reads or writes generally. It adds joins values exponentially on each iteration so it's very fast even for very large ranges. It creates ten million records in five seconds on my server. It also works with negative values.
CREATE FUNCTION [dbo].[fn_ConsecutiveNumbers]
(
#start int,
#end int
) RETURNS TABLE
RETURN
select
x268435456.X
| x16777216.X
| x1048576.X
| x65536.X
| x4096.X
| x256.X
| x16.X
| x1.X
+ #start
X
from
(VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9),(10),(11),(12),(13),(14),(15)) as x1(X)
join
(VALUES (0),(16),(32),(48),(64),(80),(96),(112),(128),(144),(160),(176),(192),(208),(224),(240)) as x16(X)
on x1.X <= #end-#start and x16.X <= #end-#start
join
(VALUES (0),(256),(512),(768),(1024),(1280),(1536),(1792),(2048),(2304),(2560),(2816),(3072),(3328),(3584),(3840)) as x256(X)
on x256.X <= #end-#start
join
(VALUES (0),(4096),(8192),(12288),(16384),(20480),(24576),(28672),(32768),(36864),(40960),(45056),(49152),(53248),(57344),(61440)) as x4096(X)
on x4096.X <= #end-#start
join
(VALUES (0),(65536),(131072),(196608),(262144),(327680),(393216),(458752),(524288),(589824),(655360),(720896),(786432),(851968),(917504),(983040)) as x65536(X)
on x65536.X <= #end-#start
join
(VALUES (0),(1048576),(2097152),(3145728),(4194304),(5242880),(6291456),(7340032),(8388608),(9437184),(10485760),(11534336),(12582912),(13631488),(14680064),(15728640)) as x1048576(X)
on x1048576.X <= #end-#start
join
(VALUES (0),(16777216),(33554432),(50331648),(67108864),(83886080),(100663296),(117440512),(134217728),(150994944),(167772160),(184549376),(201326592),(218103808),(234881024),(251658240)) as x16777216(X)
on x16777216.X <= #end-#start
join
(VALUES (0),(268435456),(536870912),(805306368),(1073741824),(1342177280),(1610612736),(1879048192)) as x268435456(X)
on x268435456.X <= #end-#start
WHERE #end >=
x268435456.X
| isnull(x16777216.X, 0)
| isnull(x1048576.X, 0)
| isnull(x65536.X, 0)
| isnull(x4096.X, 0)
| isnull(x256.X, 0)
| isnull(x16.X, 0)
| isnull(x1.X, 0)
+ #start
GO
SELECT X FROM fn_ConsecutiveNumbers(5, 500);
It's handy for date and time ranges as well:
SELECT DATEADD(day,X, 0) DayX
FROM fn_ConsecutiveNumbers(datediff(day,0,'5/8/2015'), datediff(day,0,'5/31/2015'))
SELECT DATEADD(hour,X, 0) HourX
FROM fn_ConsecutiveNumbers(datediff(hour,0,'5/8/2015'), datediff(hour,0,'5/8/2015 12:00 PM'));
You could use a cross apply join on it to split records based on values in the table. So for example to create a record for every minute on a time range in a table you could do something like:
select TimeRanges.StartTime,
TimeRanges.EndTime,
DATEADD(minute,X, 0) MinuteX
FROM TimeRanges
cross apply fn_ConsecutiveNumbers(datediff(hour,0,TimeRanges.StartTime),
datediff(hour,0,TimeRanges.EndTime)) ConsecutiveNumbers

It work for me !
select top 50 ROW_NUMBER() over(order by a.name) + 1000 as Rcount
from sys.all_objects a

I do it with recursive ctes, but i'm not sure if it is the best way
declare #initial as int = 1000;
declare #final as int =1050;
with cte_n as (
select #initial as contador
union all
select contador+1 from cte_n
where contador <#final
) select * from cte_n option (maxrecursion 0)
saludos.

declare #start int = 1000
declare #end int =1050
;with numcte
AS
(
SELECT #start [SEQUENCE]
UNION all
SELECT [SEQUENCE] + 1 FROM numcte WHERE [SEQUENCE] < #end
)
SELECT * FROM numcte

If you don't have a problem installing a CLR assembly in your server a good option is writing a table valued function in .NET. That way you can use a simple syntax, making it easy to join with other queries and as a bonus won't waste memory because the result is streamed.
Create a project containing the following class:
using System;
using System.Collections;
using System.Data;
using System.Data.Sql;
using System.Data.SqlTypes;
using Microsoft.SqlServer.Server;
namespace YourNamespace
{
public sealed class SequenceGenerator
{
[SqlFunction(FillRowMethodName = "FillRow")]
public static IEnumerable Generate(SqlInt32 start, SqlInt32 end)
{
int _start = start.Value;
int _end = end.Value;
for (int i = _start; i <= _end; i++)
yield return i;
}
public static void FillRow(Object obj, out int i)
{
i = (int)obj;
}
private SequenceGenerator() { }
}
}
Put the assembly somewhere on the server and run:
USE db;
CREATE ASSEMBLY SqlUtil FROM 'c:\path\to\assembly.dll'
WITH permission_set=Safe;
CREATE FUNCTION [Seq](#start int, #end int)
RETURNS TABLE(i int)
AS EXTERNAL NAME [SqlUtil].[YourNamespace.SequenceGenerator].[Generate];
Now you can run:
select * from dbo.seq(1, 1000000)

slartidan's answer can be improved, performance wise, by eliminating all references to the cartesian product and using ROW_NUMBER() instead (execution plan compared):
SELECT ROW_NUMBER() OVER (ORDER BY (SELECT NULL)) AS n FROM
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x1(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x2(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x3(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x4(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x5(x)
ORDER BY n
Wrap it inside a CTE and add a where clause to select desired numbers:
DECLARE #n1 AS INT = 100;
DECLARE #n2 AS INT = 40099;
WITH numbers AS (
SELECT ROW_NUMBER() OVER (ORDER BY (SELECT NULL)) AS n FROM
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x1(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x2(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x3(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x4(x),
(VALUES(0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x5(x)
)
SELECT numbers.n
FROM numbers
WHERE n BETWEEN #n1 and #n2
ORDER BY n

Nothing new but I rewrote Brian Pressler solution to be easier on the eye, it might be useful to someone (even if it's just future me):
alter function [dbo].[fn_GenerateNumbers]
(
#start int,
#end int
) returns table
return
with
b0 as (select n from (values (0),(0x00000001),(0x00000002),(0x00000003),(0x00000004),(0x00000005),(0x00000006),(0x00000007),(0x00000008),(0x00000009),(0x0000000A),(0x0000000B),(0x0000000C),(0x0000000D),(0x0000000E),(0x0000000F)) as b0(n)),
b1 as (select n from (values (0),(0x00000010),(0x00000020),(0x00000030),(0x00000040),(0x00000050),(0x00000060),(0x00000070),(0x00000080),(0x00000090),(0x000000A0),(0x000000B0),(0x000000C0),(0x000000D0),(0x000000E0),(0x000000F0)) as b1(n)),
b2 as (select n from (values (0),(0x00000100),(0x00000200),(0x00000300),(0x00000400),(0x00000500),(0x00000600),(0x00000700),(0x00000800),(0x00000900),(0x00000A00),(0x00000B00),(0x00000C00),(0x00000D00),(0x00000E00),(0x00000F00)) as b2(n)),
b3 as (select n from (values (0),(0x00001000),(0x00002000),(0x00003000),(0x00004000),(0x00005000),(0x00006000),(0x00007000),(0x00008000),(0x00009000),(0x0000A000),(0x0000B000),(0x0000C000),(0x0000D000),(0x0000E000),(0x0000F000)) as b3(n)),
b4 as (select n from (values (0),(0x00010000),(0x00020000),(0x00030000),(0x00040000),(0x00050000),(0x00060000),(0x00070000),(0x00080000),(0x00090000),(0x000A0000),(0x000B0000),(0x000C0000),(0x000D0000),(0x000E0000),(0x000F0000)) as b4(n)),
b5 as (select n from (values (0),(0x00100000),(0x00200000),(0x00300000),(0x00400000),(0x00500000),(0x00600000),(0x00700000),(0x00800000),(0x00900000),(0x00A00000),(0x00B00000),(0x00C00000),(0x00D00000),(0x00E00000),(0x00F00000)) as b5(n)),
b6 as (select n from (values (0),(0x01000000),(0x02000000),(0x03000000),(0x04000000),(0x05000000),(0x06000000),(0x07000000),(0x08000000),(0x09000000),(0x0A000000),(0x0B000000),(0x0C000000),(0x0D000000),(0x0E000000),(0x0F000000)) as b6(n)),
b7 as (select n from (values (0),(0x10000000),(0x20000000),(0x30000000),(0x40000000),(0x50000000),(0x60000000),(0x70000000)) as b7(n))
select s.n
from (
select
b7.n
| b6.n
| b5.n
| b4.n
| b3.n
| b2.n
| b1.n
| b0.n
+ #start
n
from b0
join b1 on b0.n <= #end-#start and b1.n <= #end-#start
join b2 on b2.n <= #end-#start
join b3 on b3.n <= #end-#start
join b4 on b4.n <= #end-#start
join b5 on b5.n <= #end-#start
join b6 on b6.n <= #end-#start
join b7 on b7.n <= #end-#start
) s
where #end >= s.n
GO

2 years later, but I found I had the same issue. Here is how I solved it. (edited to include parameters)
DECLARE #Start INT, #End INT
SET #Start = 1000
SET #End = 1050
SELECT TOP (#End - #Start+1) ROW_NUMBER() OVER (ORDER BY S.[object_id])+(#Start - 1) [Numbers]
FROM sys.all_objects S WITH (NOLOCK)

I know I'm 4 years too late, but I stumbled upon yet another alternative answer to this problem. The issue for speed isn't just pre-filtering, but also preventing sorting. It's possible to force the join-order to execute in a manner that the Cartesian product actually counts up as a result of the join. Using slartidan's answer as a jump-off point:
WITH x AS (SELECT n FROM (VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) v(n))
SELECT ones.n + 10*tens.n + 100*hundreds.n + 1000*thousands.n
FROM x ones, x tens, x hundreds, x thousands
ORDER BY 1
If we know the range we want, we can specify it via #Upper and #Lower. By combining the join hint REMOTE along with TOP, we can calculate only the subset of values we want with nothing wasted.
WITH x AS (SELECT n FROM (VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) v(n))
SELECT TOP (1+#Upper-#Lower) #Lower + ones.n + 10*tens.n + 100*hundreds.n + 1000*thousands.n
FROM x thousands
INNER REMOTE JOIN x hundreds on 1=1
INNER REMOTE JOIN x tens on 1=1
INNER REMOTE JOIN x ones on 1=1
The join hint REMOTE forces the optimizer to compare on the right side of the join first. By specifying each join as REMOTE from most to least significant value, the join itself will count upwards by one correctly. No need to filter with a WHERE, or sort with an ORDER BY.
If you want to increase the range, you can continue to add additional joins with progressively higher orders of magnitude, so long as they're ordered from most to least significant in the FROM clause.
Note that this is a query specific to SQL Server 2008 or higher.

If your SQL-server version is higher than 2022 or supports GENERATE_SERIES function, we can try to use GENERATE_SERIES function and declare START and STOP parameters.
GENERATE_SERIES returns a single-column table containing a sequence of values in which each differs from the preceding by STEP
declare #start int = 1000
declare #stop int = 1050
declare #step int = 2
SELECT [Value]
FROM GENERATE_SERIES(#start, #stop, #step)

Here are couple quite optimal and compatible solutions:
USE master;
declare #min as int; set #min = 1000;
declare #max as int; set #max = 1050; --null returns all
-- Up to 256 - 2 048 rows depending on SQL Server version
select isnull(#min,0)+number.number as number
FROM dbo.spt_values AS number
WHERE number."type" = 'P' --integers
and ( #max is null --return all
or isnull(#min,0)+number.number <= #max --return up to max
)
order by number
;
-- Up to 65 536 - 4 194 303 rows depending on SQL Server version
select isnull(#min,0)+value1.number+(value2.number*numberCount.numbers) as number
FROM dbo.spt_values AS value1
cross join dbo.spt_values AS value2
cross join ( --get the number of numbers (depends on version)
select sum(1) as numbers
from dbo.spt_values
where spt_values."type" = 'P' --integers
) as numberCount
WHERE value1."type" = 'P' --integers
and value2."type" = 'P' --integers
and ( #max is null --return all
or isnull(#min,0)+value1.number+(value2.number*numberCount.numbers)
<= #max --return up to max
)
order by number
;

recursive CTE in exponential size (even for default of 100 recursion, this can build up to 2^100 numbers):
DECLARE #startnum INT=1000
DECLARE #endnum INT=1050
DECLARE #size INT=#endnum-#startnum+1
;
WITH numrange (num) AS (
SELECT 1 AS num
UNION ALL
SELECT num*2 FROM numrange WHERE num*2<=#size
UNION ALL
SELECT num*2+1 FROM numrange WHERE num*2+1<=#size
)
SELECT num+#startnum-1 FROM numrange order by num

Update for SQL 2017 and later:
If the sequence you desire is < 8k then this will work:
Declare #start_num int = 1000
, #end_num int = 1050
Select [number] = #start_num + ROW_NUMBER() over (order by (Select null))
from string_split(replicate(' ',#end_num-#start_num-1),' ')

This will also do
DECLARE #startNum INT = 1000;
DECLARE #endNum INT = 1050;
INSERT INTO dbo.Numbers
( Num
)
SELECT CASE WHEN MAX(Num) IS NULL THEN #startNum
ELSE MAX(Num) + 1
END AS Num
FROM dbo.Numbers
GO 51

The best speed when run query
DECLARE #num INT = 1000
WHILE(#num<1050)
begin
INSERT INTO [dbo].[Codes]
( Code
)
VALUES (#num)
SET #num = #num + 1
end

I had to insert picture filepath into database using similar method. The query below worked fine:
DECLARE #num INT = 8270058
WHILE(#num<8270284)
begin
INSERT INTO [dbo].[Galleries]
(ImagePath)
VALUES
('~/Content/Galeria/P'+CONVERT(varchar(10), #num)+'.JPG')
SET #num = #num + 1
end
The code for you would be:
DECLARE #num INT = 1000
WHILE(#num<1051)
begin
SELECT #num
SET #num = #num + 1
end

Here's what I came up with:
create or alter function dbo.fn_range(#start int, #end int) returns table
return
with u2(n) as (
select n
from (VALUES (0),(1),(2),(3)) v(n)
),
u8(n) as (
select
x0.n | x1.n * 4 | x2.n * 16 | x3.n * 64 as n
from u2 x0, u2 x1, u2 x2, u2 x3
)
select
#start + s.n as n
from (
select
x0.n | isnull(x1.n, 0) * 256 | isnull(x2.n, 0) * 65536 as n
from u8 x0
left join u8 x1 on #end-#start > 256
left join u8 x2 on #end-#start > 65536
) s
where s.n < #end - #start
Generates up to 2^24 values. Join conditions keep it fast for small values.

This is what I do, it's pretty fast and flexible and not a lot of code.
DECLARE #count  int =   65536;
DECLARE #start  int =   11;
DECLARE #xml    xml =   REPLICATE(CAST('<x/>' AS nvarchar(max)), #count);
; WITH GenerateNumbers(Num) AS
(
    SELECT  ROW_NUMBER() OVER (ORDER BY #count) + #start - 1
    FROM    #xml.nodes('/x') X(T)
)
SELECT  Num
FROM    GenerateNumbers;
Note that (ORDER BY #count) is a dummy. It doesn't do anything but ROW_NUMBER() requires an ORDER BY.
Edit:
I realized that the original question was to get a range from x to y. My script can be modified like this to get a range:
DECLARE #start  int =   5;
DECLARE #end   int =   21;
DECLARE #xml    xml =   REPLICATE(CAST('<x/>' AS nvarchar(max)), #end - #start + 1);
; WITH GenerateNumbers(Num) AS
(
    SELECT  ROW_NUMBER() OVER (ORDER BY #end) + #start - 1
    FROM    #xml.nodes('/x') X(T)
)
SELECT  Num
FROM    GenerateNumbers;

-- Generate Numeric Range
-- Source: http://www.sqlservercentral.com/scripts/Miscellaneous/30397/
CREATE TABLE #NumRange(
n int
)
DECLARE #MinNum int
DECLARE #MaxNum int
DECLARE #I int
SET NOCOUNT ON
SET #I = 0
WHILE #I <= 9 BEGIN
INSERT INTO #NumRange VALUES(#I)
SET #I = #I + 1
END
SET #MinNum = 1
SET #MaxNum = 1000000
SELECT num = a.n +
(b.n * 10) +
(c.n * 100) +
(d.n * 1000) +
(e.n * 10000)
FROM #NumRange a
CROSS JOIN #NumRange b
CROSS JOIN #NumRange c
CROSS JOIN #NumRange d
CROSS JOIN #NumRange e
WHERE a.n +
(b.n * 10) +
(c.n * 100) +
(d.n * 1000) +
(e.n * 10000) BETWEEN #MinNum AND #MaxNum
ORDER BY a.n +
(b.n * 10) +
(c.n * 100) +
(d.n * 1000) +
(e.n * 10000)
DROP TABLE #NumRange

This only works for sequences as long as some application table has rows. Assume I want sequence from 1..100, and have application table dbo.foo with column (of numeric or string type) foo.bar:
select
top 100
row_number() over (order by dbo.foo.bar) as seq
from dbo.foo
Despite its presence in an order by clause, dbo.foo.bar does not have to have distinct or even non-null values.
Of course, SQL Server 2012 has sequence objects, so there's a natural solution in that product.

This completed for me in 36 seconds on our DEV server. Like Brian's answer, focusing on filtering to the range is important from within the query; a BETWEEN still tries to generate all the initial records prior to the lower bound even though it doesn't need them.
declare #s bigint = 10000000
, #e bigint = 20000000
;WITH
Z AS (SELECT 0 z FROM (VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9),(10),(11),(12),(13),(14),(15)) T(n)),
Y AS (SELECT 0 z FROM Z a, Z b, Z c, Z d, Z e, Z f, Z g, Z h, Z i, Z j, Z k, Z l, Z m, Z n, Z o, Z p),
N AS (SELECT ROW_NUMBER() OVER (PARTITION BY 0 ORDER BY z) n FROM Y)
SELECT TOP (1+#e-#s) #s + n - 1 FROM N
Note that ROW_NUMBER is a bigint, so we can't go over 2^^64 (==16^^16) generated records with any method that uses it. This query therefore respects the same upper limit on generated values.

This uses procedural code and a table-valued function. Slow, but easy and predictable.
CREATE FUNCTION [dbo].[Sequence] (#start int, #end int)
RETURNS
#Result TABLE(ID int)
AS
begin
declare #i int;
set #i = #start;
while #i <= #end
begin
insert into #result values (#i);
set #i = #i+1;
end
return;
end
Usage:
SELECT * FROM dbo.Sequence (3,7);
ID
3
4
5
6
7
It's a table, so you can use it in joins with other data. I most frequently use this function as the left side of a join against a GROUP BY hour, day etc to ensure a contiguous sequence of time values.
SELECT DateAdd(hh,ID,'2018-06-20 00:00:00') as HoursInTheDay FROM dbo.Sequence (0,23) ;
HoursInTheDay
2018-06-20 00:00:00.000
2018-06-20 01:00:00.000
2018-06-20 02:00:00.000
2018-06-20 03:00:00.000
2018-06-20 04:00:00.000
(...)
Performance is uninspiring (16 seconds for a million rows) but good enough for many purposes.
SELECT count(1) FROM [dbo].[Sequence] (
1000001
,2000000)
GO

Oracle 12c; Quick but limited:
select rownum+1000 from all_objects fetch first 50 rows only;
Note: limited to row count of all_objects view;

The solution I've developed and used for quite some time now (riding some on the shared works of others) is slightly similar to at least one posted. It doesn't reference any tables and returns an unsorted range of up to 1048576 values (2^20) and can include negatives if desired. You can of course sort the result if necessary. It runs pretty quickly, especially on smaller ranges.
Select value from dbo.intRange(-500, 1500) order by value -- returns 2001 values
create function dbo.intRange
(
#Starting as int,
#Ending as int
)
returns table
as
return (
select value
from (
select #Starting +
( bit00.v | bit01.v | bit02.v | bit03.v
| bit04.v | bit05.v | bit06.v | bit07.v
| bit08.v | bit09.v | bit10.v | bit11.v
| bit12.v | bit13.v | bit14.v | bit15.v
| bit16.v | bit17.v | bit18.v | bit19.v
) as value
from (select 0 as v union ALL select 0x00001 as v) as bit00
cross join (select 0 as v union ALL select 0x00002 as v) as bit01
cross join (select 0 as v union ALL select 0x00004 as v) as bit02
cross join (select 0 as v union ALL select 0x00008 as v) as bit03
cross join (select 0 as v union ALL select 0x00010 as v) as bit04
cross join (select 0 as v union ALL select 0x00020 as v) as bit05
cross join (select 0 as v union ALL select 0x00040 as v) as bit06
cross join (select 0 as v union ALL select 0x00080 as v) as bit07
cross join (select 0 as v union ALL select 0x00100 as v) as bit08
cross join (select 0 as v union ALL select 0x00200 as v) as bit09
cross join (select 0 as v union ALL select 0x00400 as v) as bit10
cross join (select 0 as v union ALL select 0x00800 as v) as bit11
cross join (select 0 as v union ALL select 0x01000 as v) as bit12
cross join (select 0 as v union ALL select 0x02000 as v) as bit13
cross join (select 0 as v union ALL select 0x04000 as v) as bit14
cross join (select 0 as v union ALL select 0x08000 as v) as bit15
cross join (select 0 as v union ALL select 0x10000 as v) as bit16
cross join (select 0 as v union ALL select 0x20000 as v) as bit17
cross join (select 0 as v union ALL select 0x40000 as v) as bit18
cross join (select 0 as v union ALL select 0x80000 as v) as bit19
) intList
where #Ending - #Starting < 0x100000
and intList.value between #Starting and #Ending
)

;WITH u AS (
SELECT Unit FROM (VALUES (0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) v(Unit)
),
d AS (
SELECT
(Thousands+Hundreds+Tens+Units) V
FROM
(SELECT Thousands = Unit * 1000 FROM u) Thousands
,(SELECT Hundreds = Unit * 100 FROM u) Hundreds
,(SELECT Tens = Unit * 10 FROM u) Tens
,(SELECT Units = Unit FROM u) Units
WHERE
(Thousands+Hundreds+Tens+Units) <= 10000
)
SELECT * FROM d ORDER BY v

I made the below function after reading this thread. Simple and fast:
go
create function numbers(#begin int, #len int)
returns table as return
with d as (
select 1 v from (values(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) d(v)
)
select top (#len) #begin -1 + row_number() over(order by (select null)) v
from d d0
cross join d d1
cross join d d2
cross join d d3
cross join d d4
cross join d d5
cross join d d6
cross join d d7
go
select * from numbers(987654321,500000)

Related

Generating sequence in SQL query

I need to generate a sequence using a SQL query.
The sequence needs to be like this:
1 2 2 3 3 3 4 4 4 4 ...
If you do not want to use any recursion, then there is this formula from our friends on the Mathematics Stack Exchange website. The sequence must start with value 0.
Use a tally table to generate as much numbers as required (I opted for a 1000 numbers).
WITH Tally (n) AS
(
-- 1000 rows
SELECT ROW_NUMBER() OVER (ORDER BY (SELECT NULL))
FROM (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) a(n)
CROSS JOIN (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) b(n)
CROSS JOIN (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) c(n)
)
SELECT FLOOR((1 + SQRT(1 + 8 * (t.n - 1))) / 2)
FROM Tally t;
EDIT: There is another, easier formula. Here, the sequence must start with value 1.
WITH Tally (n) AS
(
-- 1000 rows
SELECT ROW_NUMBER() OVER (ORDER BY (SELECT NULL))
FROM (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) a(n)
CROSS JOIN (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) b(n)
CROSS JOIN (VALUES(0),(0),(0),(0),(0),(0),(0),(0),(0),(0)) c(n)
)
SELECT ROUND(SQRT(2 * t.n), 0) AS SEQUENCE
FROM Tally t;
Fiddle to see it in action.
In a T-SQL stored procedure, you could try this:
CREATE PROCEDURE sequence
#count INT
AS
DECLARE #i INT = 0
DECLARE #j INT = 0
DECLARE #tempTable TABLE(
a INT
);
WHILE #i < #count
BEGIN
SET #i = #i + 1
SET #j = 0
WHILE #j < #i
BEGIN
SET #j = #j + 1
INSERT INTO #tempTable (#i)
END
END
SELECT a FROM #tablename
GO
By using WHILE loops, it is possible to count up to a maximum value and INSERT the counts into a temporary table.

Is this a good algorithm for listing prime numbers?

DECLARE #c int = 1000;
DECLARE #numbers TABLE (n int NOT NULL PRIMARY KEY);
DECLARE #products TABLE (p int NOT NULL PRIMARY KEY);
DECLARE #primes TABLE (p int NOT NULL PRIMARY KEY);
-- The 'composite exclusion' approach
-- 1. list all n = 2, 3, 4, ... c
WITH numbers AS
(
SELECT 2 AS n
UNION ALL
SELECT n + 1 FROM numbers
WHERE n <= #c - 1
)
INSERT INTO #numbers SELECT n FROM numbers OPTION(MAXRECURSION 0);
-- 2. find all products n x n <= c
WITH products AS
(
SELECT DISTINCT m.n * n.n AS p
FROM #numbers m LEFT OUTER JOIN
#numbers n ON 1 = 1
WHERE m.n * n.n <= #c
)
INSERT INTO #products SELECT p FROM products;
-- 3. numbers with no matching products are not composite, i.e, they're prime numbers.
INSERT INTO #primes
SELECT n.n FROM #numbers n LEFT JOIN #products p ON n.n = p.p WHERE p.p IS NULL;
It's kind of a one pass Sieve of Eratosthenes approach.
I've seen loops, stored procedures and the like, as well as pseudo-code and other language implementations, but it seems to me that this simple, set-based approach stemming from the definition of prime numbers should suffice.
Please bear in mind I'm not concerned with performance or memory consumption or optimizations at this time, and I have not tested it with larger numbers. I just want to publish the algorithm and have people confirm (or challenge) that excluding composite numbers from the list is enough.
Recursive CTEs (rCTE) are very rarely the best performing solution. Below is an approach that uses a tally table, it's a slightly tweaked version of the approach that Hugo Kornelis posted here: https://sqlserverfast.com/blog/hugo/2006/09/the-prime-number-challenge-great-waste-of-time/
Let's compare the tally table solution to the rCTE solution:
SET STATISTICS TIME ON;
PRINT 'tally table approach'+char(13)+char(10)+replicate('-',50);
DECLARE #primes TABLE (p int NOT NULL PRIMARY KEY);
DECLARE #limit bigint = 10000;
WITH E(x) AS (SELECT * FROM (VALUES (1),(1),(1),(1),(1),(1),(1),(1),(1),(1)) t(x)),
iTally(N) AS (SELECT TOP(#limit) ROW_NUMBER() OVER (ORDER BY (SELECT 1)) FROM E a, E b, E c, E d, E f)
INSERT #primes
SELECT n1.N
FROM itally AS n1
WHERE n1.N > 1
AND n1.N < #Limit
AND NOT EXISTS
(SELECT *
FROM itally AS n2
WHERE n2.N < #limit
AND n2.N BETWEEN 2 AND n1.N-1
AND n1.n % n2.N = 0)
--ORDER BY N
GO
PRINT 'rCTE approach'+char(13)+char(10)+replicate('-',50);
DECLARE #c int = 10000;
DECLARE #numbers TABLE (n int NOT NULL PRIMARY KEY);
DECLARE #products TABLE (p int NOT NULL PRIMARY KEY);
DECLARE #primes TABLE (p int NOT NULL PRIMARY KEY);
WITH numbers AS
(
SELECT 2 AS n
UNION ALL
SELECT n + 1 FROM numbers
WHERE n <= #c - 1
)
INSERT INTO #numbers SELECT n FROM numbers OPTION(MAXRECURSION 0);
-- 2. find all products n x n <= c
WITH products AS
(
SELECT DISTINCT m.n * n.n AS p
FROM #numbers m LEFT OUTER JOIN
#numbers n ON 1 = 1
WHERE m.n * n.n <= #c
)
INSERT INTO #products SELECT p FROM products;
-- 3. numbers with no matching products are not composite, i.e, they're prime numbers.
INSERT INTO #primes
SELECT n.n FROM #numbers n LEFT JOIN #products p ON n.n = p.p WHERE p.p IS NULL;
SET STATISTICS TIME OFF;
and the results:
tally table approach
--------------------------------------------------
SQL Server Execution Times:
CPU time = 3042 ms, elapsed time = 3241 ms.
SQL Server parse and compile time:
CPU time = 0 ms, elapsed time = 10 ms.
rCTE approach
--------------------------------------------------
SQL Server Execution Times:
CPU time = 14976 ms, elapsed time = 15757 ms.
As you can see, the tally table approach against 10,000 was 5 times faster and also doesn't produce any reads (the rCTE produces a ton!)
If you are really working with prime numbers the absolute fastest approach would be to store them in a table so you don't need to calculate them each time you need prime numbers.

How to select only armstrong numbers from the list?

I want is to select Armstrong numbers from the list below list I have searched of solution of this question bu unable to find in SQL-Server:
Numbers
121
113
423
153
541
371
I am sure most of you know what's the Armstrong number and how to calculate though I am describing is for the simplicity : sum of the cubes of its digits is equal to the number itself i.e.
1*1*1 + 5*5*5 + 3*3*3 = 153
3*3*3 + 7*7*7 + 1*1*1 = 371
Please help me on this as I am also trying but seeking for quick solution. It will be very helpful to me. Thanks in advance.
Obviously static processing during each query is not correct approach but we can create function like this and
create function dbo.IsArmstrongNumber(#n int)
returns int as
begin
declare #retValue int = 0
declare #sum int = 0
declare #num int = #n
while #num > 0
begin
set #sum += (#num%10) * (#num%10) * (#num%10)
set #num = #num/10
end
IF #sum = #n
set #retValue = 1
return #retValue
end
Pre-processing and selecting in IN clause is better
select * from #Numbers where dbo.IsArmstrongNumber(n) = 1
select 153 x into #temp;
insert #temp values(371);
insert #temp values(541);
with cte as (select x, substring(cast(x as nvarchar(40)) ,1,1) as u, 1 as N FROM #temp
union all
select x, substring(cast(x as nvarchar(40)),n+1,1) as u , n+1 from cte where len(cast(x as nvarchar(40))) > n
)
select x from cte group by x having SUM(POWER(cast(u as int),3)) = x
drop table #temp;
here is the mark 2 - you can change the #ORDER to explore power of 4,5 etc
declare #order int = 3;
declare #limit int = 50000;
with nos as (select 1 no
union all
select no + 1 from nos where no < #limit),
cte as (select no as x, substring(cast(no as nvarchar(40)) ,1,1) as u, 1 as N FROM nos
union all
select x, substring(cast(x as nvarchar(40)),n+1,1) as u , n+1 from cte where len(cast(x as nvarchar(40))) > n
)
select x from cte group by x having SUM(POWER(cast(u as int),#order)) = x
option (maxrecursion 0);
This is a quick mod to my sum of digits UDF
Declare #Table table (Numbers int)
Insert into #Table values
(121),
(113),
(423),
(153),
(541),
(371)
Select * from #Table where [dbo].[udf-Stat-Is-Armstrong](Numbers)=1
Returns
Numbers
153
371
The UDF
CREATE Function [dbo].[udf-Stat-Is-Armstrong](#Val bigint)
Returns Bit
As
Begin
Declare #RetVal as bigint
Declare #LenInp as bigint = len(cast(#Val as varchar(25)))
;with i AS (
Select #Val / 10 n, #Val % 10 d
Union ALL
Select n / 10, n % 10
From i
Where n > 0
)
Select #RetVal = IIF(SUM(power(d,#LenInp))=#Val,1,0) FROM i;
Return #RetVal
End
You can use the following to find Armstrong numbers using Sql functions:
WITH Numbers AS(
SELECT 0 AS number UNION ALL SELECT number + 1 FROM Numbers WHERE number < 10000)
SELECT number AS ArmstrongNumber FROM Numbers
WHERE
number = POWER(COALESCE(SUBSTRING(CAST(number AS VARCHAR(10)),1,1),0),3)
+ POWER(COALESCE(SUBSTRING(CAST(number AS VARCHAR(10)),2,1),0),3)
+ POWER(COALESCE(SUBSTRING(CAST(number AS VARCHAR(10)),3,1),0),3)
OPTION(MAXRECURSION 0)

Auto Populate Table With Date Range SQL

My problem is auto populating Table.
I have table with 1000 record in it, but for testing purpose, i need to insert more data.
ID | PersonID | Date | Time | Sum | TypeID | PlaceID | StatusID
So i need to populate the database with 10000 records where the date is between 1/3/2015 and 1/5/2015, Time is Random, SUM Between 100 and 1000, TypeID between 1 and 2, PlaceID between 1-10, StatusID between 1-3
I would a appreciate any kind of help or suggestion.
Thanks in advance.
Here is some brutal solution but completely randomized:
with rows as(select row_number() over(order by(select null)) as dummy from
(values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t1(n)
cross join (values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t2(n)
cross join (values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t3(n)
cross join (values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t4(n))
select *,
cast(dateadd(ms, cast(cast(newid() as varbinary(30)) as int), getdate()) as time) as time
from rows r
cross apply(select top 1 p as place
from (values(1),(2),(3),(4),(5),(6),(7),(8),(9),(10))p(p)
where r.dummy = r.dummy order by newid()) cap
cross apply(select top 1 s as status
from (values(1),(2),(3))s(s)
where r.dummy = r.dummy order by newid()) cas
cross apply(select top 1 t as time
from (values(1),(2))t(t)
where r.dummy = r.dummy order by newid()) cat
cross apply(select top 1 sum from(select 100 + row_number() over(order by(select null)) as sum
from (values(1),(1),(1),(1),(1),(1),(1),(1),(1))t1(n)
cross join (values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t2(n)
cross join (values(1),(1),(1),(1),(1),(1),(1),(1),(1),(1))t3(n)) t
where r.dummy = r.dummy order by newid()) casu
cross apply(select top 1 dateadd(dd, s -1, '20150103') as date
from (values(1),(2),(3))s(s)
where r.dummy = r.dummy order by newid()) cad
Fiddle http://sqlfiddle.com/#!6/9eecb7db59d16c80417c72d1/892
You need a small t-sql to do it:
--CREATE TABLE TEST (CID INT, PERSONID INT, TEST_DATE DATE, TEST_TIME TIME, TEST_SUM INT, TYPEID INT, PLACEID INT, STATUSID INT);
--TRUNCATE TABLE TEST;
SET NOCOUNT ON;
DECLARE #X INT, #PERSONID INT, #DATE DATE, #TIME TIME, #SUM INT, #TYPEID INT, #PLACEID INT, #STATUSID INT,#R INT;
SELECT #X=0;
WHILE #X < 10000 BEGIN
SELECT #X=#X +1;
SELECT #DATE = DATEADD(DAY, #X / 4000, '2015-1-3');
SELECT #R=CONVERT(INT, RAND() * 3600 * 24);
SELECT #TIME = DATEADD(SECOND, #R , '00:00:01');
SELECT #SUM = 100 + #R % 900;
SELECT #TYPEID = #R % 2 + 1 ;
SELECT #PLACEID = #R % 10 +1 ;
SELECT #STATUSID = #R % 3 +1 ;
SELECT #PERSONID = #R % 500 +1 ;
INSERT INTO TEST (CID, PERSONID, TEST_DATE, TEST_TIME, TEST_SUM, TYPEID, PLACEID, STATUSID)
VALUES(#X, #PERSONID, #DATE, #TIME, #SUM, #TYPEID, #PLACEID, #STATUSID);
END;
SET NOCOUNT OFF;
Also, please try not to use column names like "ID","Date","Time" and etc which have special meanings in SQL Server.
One is to use the pseudo random values derived from NEWID. You didn't mention how ID and PersonID should be assigned but the ROW_NUMBER value returned by the CTE could be used for that if you need incremental values.
WITH
t4 AS (SELECT n FROM (VALUES(0),(0),(0),(0)) t(n))
,t256 AS (SELECT 0 AS n FROM t4 AS a CROSS JOIN t4 AS b CROSS JOIN t4 AS c CROSS JOIN t4 AS d)
,t16M AS (SELECT ROW_NUMBER() OVER (ORDER BY (a.n)) AS num FROM t256 AS a CROSS JOIN t256 AS b CROSS JOIN t256 AS c)
SELECT
DATEADD(day, CAST(CAST(NEWID() AS varbinary(1)) AS int) % 3, '20150103') AS Date
,DATEADD(millisecond, CAST(CAST(NEWID() AS varbinary(4)) AS int), CAST('' AS time)) AS Time
,(CAST(CAST(NEWID() AS varbinary(3)) AS int) % 900) + 100 AS [Sum]
,(CAST(CAST(NEWID() AS varbinary(3)) AS int) % 2) + 1 AS TypeID
,(CAST(CAST(NEWID() AS varbinary(3)) AS int) % 10) + 1 AS PlaceID
,(CAST(CAST(NEWID() AS varbinary(3)) AS int) % 3) + 1 AS StatisID
FROM t16M
WHERE num <= 10000;

How to tune the following query?

This query gives me the desired result but i can't run this query every time.The 2 loops is costing me.So i need to implement something like view.But the logic has temp tables involved which isn't allowed in views as well.so, is there any other way to store this result or change the query so that it will cost me less.
DECLARE #Temp TABLE (
[SiteID] VARCHAR(100)
,[StructureID] INT
,[row] DECIMAL(4, 2)
,[col] DECIMAL(4, 2)
)
DECLARE #siteID VARCHAR(100)
,#structureID INT
,#struct_row INT
,#struct_col INT
,#rows_count INT
,#cols_count INT
,#row INT
,#col INT
DECLARE structure_cursor CURSOR
FOR
SELECT StructureID
,SiteID
,Cols / 8.5 AS Cols
,Rows / 11 AS Rows
FROM Structure
WHERE SellerID = 658 --AND StructureID = 55
OPEN structure_cursor
FETCH NEXT
FROM structure_cursor
INTO #structureID
,#siteID
,#struct_col
,#struct_row
SELECT #rows_count = 1
,#cols_count = 1
,#row = 1
,#col = 1
WHILE ##FETCH_STATUS = 0
BEGIN
WHILE #row <= #struct_row
BEGIN
WHILE #col <= #struct_col
BEGIN
--PRINT 'MEssage';
INSERT INTO #Temp (
SiteID
,StructureID
,row
,col
)
VALUES (
#siteID
,#structureID
,#rows_count
,#cols_count
)
SET #cols_count = #cols_count + 1;
SET #col = #col + 1;
END
SET #cols_count = 1;
SET #col = 1;
SET #rows_count = #rows_count + 1;
SET #row = #row + 1;
END
SET #row = 1;
SET #col = 1;
SET #rows_count = 1;
FETCH NEXT
FROM structure_cursor
INTO #structureID
,#siteID
,#struct_col
,#struct_row
END
CLOSE structure_cursor;
DEALLOCATE structure_cursor;
SELECT * FROM #Temp
Do this with a set-based operation. I think you just want insert . . . select:
INSERT INTO #Temp (SiteID, StructureID, row, col)
SELECT StructureID, SiteID, Cols / 8.5 AS Cols, Rows / 11 AS Rows
FROM Structure
WHERE SellerID = 658;
You should avoid cursors, unless you really need them for some reason (such as calling a stored procedure or using dynamic SQL on each row).
EDIT:
Reading the logic, it looks like you want to insert rows for based on the limits in each row. You still don't want to use a cursor. For that, you need a number generator and master..spt_values is a convenient one, if it has enough rows. So:
with n as (
select row_number() over (order by (select null)) as n
from master..spt_values
)
INSERT INTO #Temp (SiteID, StructureID, row, col)
SELECT StructureID, SiteID, ncol.n / 8.5 AS Cols, nrow.n / 11 AS Rows
FROM Structure s JOIN
n ncol
ON ncol.n <= s.struct_col CROSS JOIN
n nrow
ON nrow <= s.struct_row
WHERE SellerID = 658;
You can generate the number of rows and columns and then CROSS APPLY with those, like below. I've left out your SellerID condition.
;WITH Cols
AS
(
SELECT StructureID, SiteID, CAST(Cols / 8.5 AS INT) AS Col
FROM Structure
UNION ALL
SELECT s.StructureID, s.SiteID, Col - 1
FROM Structure s
INNER JOIN Cols c ON s.StructureID = c.StructureID AND s.SiteID = c.SiteID
WHERE Col > 1
)
, Rows
AS
(
SELECT StructureID, SiteID, CAST(Rows / 11 AS INT) AS Row
FROM Structure
UNION ALL
SELECT s.StructureID, s.SiteID, Row - 1
FROM Structure s
INNER JOIN Rows r ON s.StructureID = r.StructureID AND s.SiteID = r.SiteID
WHERE Row > 1
)
--INSERT INTO #Temp (SiteID, StructureID, row, col)
SELECT s.SiteID, s.StructureID, r.Row, c.Col
FROM Structure s
CROSS APPLY Cols c
CROSS APPLY Rows r
WHERE s.StructureID = c.StructureID AND s.SiteID = c.SiteID
AND s.StructureID = r.StructureID AND s.SiteID = r.SiteID
We can do this by using CROSS APPLY and CTE.
CREATE TABLE Structure(SiteID varchar(20), StructureID int,
Cols decimal(18,2), [Rows] decimal(18,2))
INSERT INTO Structure (SiteID, StructureID, Cols, [Rows])
VALUES
('MN353970', 51,17,22),
('MN272252', 52,17,11)
;WITH RowCTE([Rows]) AS
(
SELECT 1
UNION ALL
SELECT 2
),
ColCTE(Cols) AS
(
SELECT 1
UNION ALL
SELECT 2
)
SELECT SiteID, StructureID, R.Rows, C.Cols
FROM Structure s
CROSS APPLY
(
SELECT Cols FROM ColCTE
) C
CROSS APPLY
(
SELECT [Rows] FROM RowCTE
) R
Sql Fiddle Demo