# MySQL: Generate a sequential range of numbers for time series analysis

One of our favorite features in PostgreSQL is the generate_series function. Given start, stop and step interval, PostgreSQL can generate a series of values, from start to stop with a step size of step. It can even work with dates or timestamps:

select generate_series('2017-01-01'::date, '2017-05-01'::date, '1 week'::interval);


Unfortunately, MySQL does not have this very useful feature and so, we'll have to build an equivalent.

The common use-case for this function is to generate a sequential range of dates, and use a left join to figure out dates where you have no data. If you didn't do this, your timeseries will have gaps and your chart will be misleading.

## Method 1: Create a table with sequential numbers

The simplest option is to create a table, for example, numbers and select from that. You can convert each number into the relevant date using MySQL's date manipulation functions:

select date_sub(date(now()), interval n day) from numbers;


## Method 2: Create a CTE counter

If you don't want to create a table before hand, you can create one on the fly – using MySQL's Common Table Expressions. A CTE works like a temporary table that only exists during the execution of the query.

with digit as (
select 0 as d 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
),
seq as (
select a.d + (10 * b.d) + (100 * c.d) + (1000 * d.d) as num
from digit a
cross join
digit b
cross join
digit c
cross join
digit d
order by 1
)
select current_date - seq.num as "Date"
from seq;


The way this works is by first creating a temporary table digit with 10 rows containing values from 0 through 9. Next, we create all permutations of the digit table with the help of a couple of cross joins. By multiplying the digits by 1, 10, 100 and 1000, all values from 0 to 9999 are calculated.

We can finally use the sequential numbers to generate a continuous sequence of dates using MySQL's current_date and some simple manipulation.

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