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# math
> 
# module pixeltable.functions.math
Pixeltable UDFs for mathematical operations.
Example:
```python theme={null}
import pixeltable as pxt
t = pxt.get_table(...)
t.select(t.float_col.floor()).collect()
```
## udf abs()
```python Signature theme={null}
@pxt.udf
abs(self: pxt.Float) -> pxt.Float
```
Return the absolute value of the given number.
Equivalent to Python [`builtins.abs()`](https://docs.python.org/3/library/functions.html#abs).
## udf bitwise\_and()
```python Signature theme={null}
@pxt.udf
bitwise_and(self: pxt.Int, other: pxt.Int) -> pxt.Int
```
Bitwise AND of two integers.
Equivalent to Python
[`self & other`](https://docs.python.org/3/library/stdtypes.html#bitwise-operations-on-integer-types).
## udf bitwise\_or()
```python Signature theme={null}
@pxt.udf
bitwise_or(self: pxt.Int, other: pxt.Int) -> pxt.Int
```
Bitwise OR of two integers.
Equivalent to Python
[`self | other`](https://docs.python.org/3/library/stdtypes.html#bitwise-operations-on-integer-types).
## udf bitwise\_xor()
```python Signature theme={null}
@pxt.udf
bitwise_xor(self: pxt.Int, other: pxt.Int) -> pxt.Int
```
Bitwise XOR of two integers.
Equivalent to Python
[`self ^ other`](https://docs.python.org/3/library/stdtypes.html#bitwise-operations-on-integer-types).
## udf ceil()
```python Signature theme={null}
@pxt.udf
ceil(self: pxt.Float) -> pxt.Float
```
Return the ceiling of the given number.
Equivalent to Python [`float(math.ceil(self))`](https://docs.python.org/3/library/math.html#math.ceil) if `self`
is finite, or `self` itself if `self` is infinite. (This is slightly different from the default behavior of
`math.ceil(self)`, which always returns an `int` and raises an error if `self` is infinite. The behavior in
Pixeltable generalizes the Python operator and is chosen to align with the SQL standard.)
## udf floor()
```python Signature theme={null}
@pxt.udf
floor(self: pxt.Float) -> pxt.Float
```
Return the ceiling of the given number.
Equivalent to Python [`float(math.floor(self))`](https://docs.python.org/3/library/math.html#math.ceil) if `self`
is finite, or `self` itself if `self` is infinite. (This is slightly different from the default behavior of
`math.floor(self)`, which always returns an `int` and raises an error if `self` is infinite. The behavior of
Pixeltable generalizes the Python operator and is chosen to align with the SQL standard.)
## udf pow()
```python Signature theme={null}
@pxt.udf
pow(self: pxt.Int, other: pxt.Int) -> pxt.Float
```
Raise `self` to the power of `other`.
Equivalent to Python [`self ** other`](https://docs.python.org/3/library/functions.html#pow).
## udf round()
```python Signature theme={null}
@pxt.udf
round(
self: pxt.Float,
digits: pxt.Int | None = None
) -> pxt.Float
```
Round a number to a given precision in decimal digits.
Equivalent to Python [`builtins.round(self, digits or 0)`](https://docs.python.org/3/library/functions.html#round).
Note that if `digits` is not specified, the behavior matches `builtins.round(self, 0)` rather than
`builtins.round(self)`; this ensures that the return type is always `float` (as in SQL) rather than `int`.
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