How to generate a range of numbers between two numbers?
SqlSql ServerTsqlSql Server-2008Sql Problem Overview
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
Sql Solutions
Solution 1 - Sql
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
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
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.
Solution 2 - Sql
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)
Solution 3 - Sql
SELECT DISTINCT n = number
FROM master..[spt_values]
WHERE number BETWEEN @start AND @end
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;
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
Solution 4 - Sql
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
Solution 5 - Sql
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.
Solution 6 - Sql
It work for me !
select top 50 ROW_NUMBER() over(order by a.name) + 1000 as Rcount
from sys.all_objects a
Solution 7 - Sql
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.
Solution 8 - Sql
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
Solution 9 - Sql
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)
Solution 10 - Sql
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
Solution 11 - Sql
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
Solution 12 - Sql
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)
Solution 13 - Sql
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.
Solution 14 - Sql
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
;
Solution 15 - Sql
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),' ')
Solution 16 - Sql
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
Solution 17 - Sql
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
Solution 18 - Sql
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
Solution 19 - Sql
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
Solution 20 - Sql
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;
Solution 21 - Sql
-- 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
Solution 22 - Sql
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.
Solution 23 - Sql
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.
Solution 24 - Sql
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.
Solution 25 - Sql
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
Solution 26 - Sql
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;
Solution 27 - Sql
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
)
Solution 28 - Sql
;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
Solution 29 - Sql
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)
Solution 30 - Sql
much more simpler solution available with https://www.postgresql.org/docs/9.1/queries-with.html
WITH RECURSIVE t(n) AS (
SELECT 1
UNION ALL
SELECT n+1 FROM t
)
SELECT n FROM t LIMIT 100;
Solution 31 - Sql
If you want to use a recursive CTE to generate a range without running into the recursion limit, you can use something like this (MySQL dialect, but shouldn't be hard to translate to SQL Server):
WITH RECURSIVE
a (x) AS
(SELECT 0 UNION ALL SELECT 1),
b (x) AS
(SELECT x FROM a
UNION ALL
SELECT (b.x + 1) * 2 + a.x FROM a, b WHERE (b.x + 1) * 2 + a.x < 10000)
SELECT x FROM b
ORDER BY x;
Each step of recursion produces twice as many results as the previous step, so the total number of recursions is approximately log2(n) instead of n.
The ORDER BY clause is needed if you want to ensure the generated numbers are in order, but can be safely omitted otherwise.
If you want a range starting at a number other than zero, just add an offset to the final result e.g. SELECT x + offset FROM b
Solution 32 - Sql
Although there are a lot of good answers on this topic, IMO I think newer TSQL (2019 +) syntax allow for a bit simpler and easy to understand solutions to this problem:
Declare @n1 int = 1000
Declare @n2 int = 1050
Declare @n int = @n2 -@n1
SELECT @n1 -1 + Row_Number() over ( partition by 1 order by value) as Val FROM
STRING_SPLIT ( (SELECT REPLICATE(';', @n)) , ';' )
Solution 33 - Sql
Here is a generic and relatively fast solution that outputs integers from 1 to @n. It works with any positive integer of @n (very large numbers will cause arithmetic overflow) without needing to add or remove table joins. It doesn't require the use of system tables nor do you to change max recursions.
declare @n int = 10000
;with d as (select * from (values (0),(1),(2),(3),(4),(5),(6),(7),(8),(9)) x (d)),
n as (
select d x from d where d > 0 and d <= @n
union all
select x * 10 + d from n, d where x * 10 + d <= @n
)
select x from n
You can add an order by clause to sort the numbers.
Solution 34 - Sql
In new version of mssql server there is sequences: https://docs.microsoft.com/en-us/sql/relational-databases/sequence-numbers/sequence-numbers?view=sql-server-ver15
Example:
CREATE SEQUENCE SequenceFrom1000
AS tinyint
START WITH 1000
INCREMENT BY 1
MINVALUE 1000
MAXVALUE 1050
GO
use it like
SELECT YourTable.Column1, YourTable.Column2, NEXT VALUE FOR SequenceFrom1000 AS GeneratedNumber,FROM YourTable;
GO
Solution 35 - Sql
DECLARE @a int=1000, @b int=1050
SELECT @a-1+ROW_NUMBER() OVER(ORDER BY y.z.value('(/n)[1]', 'int') ) rw
FROM (
SELECT CAST('<m>'+REPLICATE('<n>1</n>', @b-@a+1)+'</m>' AS XML ) x ) t
CROSS APPLY t.x.nodes('//m/n') y(z)
Solution 36 - Sql
CREATE OR ALTER FUNCTION [dbo].[_ICAN_TF_Nums2](@a INT, @b INT)
-------------------------------------------------------------------------------------------------------------------
--INVENTIVE:Keyvan ARYAEE-MOEEN
-------------------------------------------------------------------------------------------------------------------
RETURNS @_ICAN_TF_Nums2 TABLE
(
num int
)
AS
BEGIN
------------------------------------------------------------------------------------------------------------------
WITH nums AS
(SELECT @a AS value
UNION ALL
SELECT value + 1 AS value
FROM nums
WHERE nums.value < @b)
INSERT @_ICAN_TF_Nums2
SELECT *
FROM nums
ORDER BY 1
option ( MaxRecursion 0 );
RETURN
END
-------------------------------------------------------------------------------------------------------------------
-- SELECT * FROM dbo._ICAN_TF_Nums2(1000, 1050)
-------------------------------------------------------------------------------------------------------------------