T-SQL sequential updating with two columns - sql

Question

I have a table created by:
CREATE TABLE table1
(
id INT,
multiplier INT,
col1 DECIMAL(10,5)
)
INSERT INTO table1
VALUES (1, 2, 1.53), (2, 3, NULL), (3, 2, NULL),
(4, 2, NULL), (5, 3, NULL), (6, 1, NULL)
Which results in:
id multiplier col1
-----------------------
1 2 1.53000
2 3 NULL
3 2 NULL
4 2 NULL
5 3 NULL
6 1 NULL
I want to add a column col2 which is defined as multiplier * col1, however the next value of col1 then updates to take the previous calculated value of col2.
The resulting table should look like:
id multiplier col1 col2
---------------------------------------
1 2 1.53000 3.06000
2 3 3.06000 9.18000
3 2 9.18000 18.36000
4 2 18.36000 36.72000
5 3 36.72000 110.16000
6 1 110.16000 110.16000
Is this possible using T-SQL? I've tried a few different things such as joining id to id - 1 and have played around with a sequential update using UPDATE and setting variables but I can't get it to work.

Answer 1

A recursive CTE might be the best approach. Assuming your ids have no gaps:
with cte as (
select id, multiplier, convert(float, col1) as col1, convert(float, col1 * multiplier) as col2
from table1
where id = 1
union all
select t1.id, t1.multiplier, cte.col2 as col1, cte.col2 * t1.multiplier
from cte join
table1 t1
on t1.id = cte.id + 1
)
select *
from cte;
Here is a db<>fiddle.
Note that I converted the destination type to float, which is convenient for this sort of operation. You can convert back to decimal if you prefer that.

Answer 2

Basically, this would require an aggregate/window function that computes the product of column values. Such set function does not exists in SQL though. We can work around this with arithmetics:
select
id,
multiplier,
coalesce(min(col1) over() * exp(sum(log(multiplier)) over(order by id rows between unbounded preceding and 1 preceding)), col1) col1,
min(col1) over() * exp(sum(log(multiplier)) over(order by id)) col2
from table1
Demo on DB Fiddle:
id | multiplier | col1 | col2
-: | ---------: | -----: | -----:
1 | 2 | 1.53 | 3.06
2 | 3 | 3.06 | 9.18
3 | 2 | 9.18 | 18.36
4 | 2 | 18.36 | 36.72
5 | 3 | 36.72 | 110.16
6 | 1 | 110.16 | 110.16
This will fail if there are negative multipliers.
If you wanted an update statement:
with cte as (
select col1, col2,
coalesce(min(col1) over() * exp(sum(log(multiplier)) over(order by id rows between unbounded preceding and 1 preceding)), col1) col1_new,
min(col1) over() * exp(sum(log(multiplier)) over(order by id)) col2_new
from table1
)
update cte set col1 = col1_new, col2 = col2_new