# Simulation of TRUNC() in Derby

Derby is missing out a lot of functions from the set of functions that other databases usually provide. One example is the `TRUNC(value, decimals)` function. According to the Wikipedia, truncation can be achieved as such:

```-- trunc(x, n)
CASE WHEN x > 0
THEN
floor(power(10, n) * x) / power(10, n)
ELSE
ceil(power(10, n) * x) / power(10, n)
END
```

Unfortunately, there is no `POWER(base, exponent)` function in Derby either. But no problem, we can simulate that as well. Let’s consider the Wikipedia again and we’ll find:

```power(b, x) = exp(x * ln(b))
```

If we substitute that into the original simulation, we get for Derby:

```-- trunc(x, n)
CASE WHEN x > 0
THEN
floor(exp(n * ln(10)) * x) / exp(n * ln(10))
ELSE
ceil(exp(n * ln(10)) * x) / exp(n * ln(10))
END
```

Verbose, probably quite inefficient, but effective! Let’s run a short test, too:

```create table test (x numeric(10, 5), n int);

insert into test values (11.111, 0);
insert into test values (11.111, 1);
insert into test values (11.111, 2);
insert into test values (11.111, -1);

select
x, n,
case when x >= 0
then
floor(exp(n * ln(10)) * x) / exp(n * ln(10))
else
ceil(exp(n * ln(10)) * x) / exp(n * ln(10))
end "trunc(x, n)"
from test;
```

The above yields

X N TRUNC(X, N)
11.111 0 11
11.111 1 11.1
11.111 2 11.11
11.111 -1 10

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