use datafusion::arrow::array::AsArray;
use datafusion::{arrow, logical_expr, scalar};
use std::ops::{Div, Mul, Sub};
use std::{any, fmt, mem};
make_udaf_expr_and_func!(
SkewnessFunc,
skewness,
x,
"Computes the skewness value.",
skewness_udaf
);
pub struct SkewnessFunc {
name: String,
signature: logical_expr::Signature,
}
impl fmt::Debug for SkewnessFunc {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_struct("SkewnessFunc")
.field("signature", &self.signature)
.finish()
}
}
impl Default for SkewnessFunc {
fn default() -> Self {
Self::new()
}
}
impl SkewnessFunc {
pub fn new() -> Self {
Self {
name: "skewness".to_string(),
signature: logical_expr::Signature::exact(
vec![arrow::datatypes::DataType::Float64],
logical_expr::Volatility::Immutable,
),
}
}
}
impl logical_expr::AggregateUDFImpl for SkewnessFunc {
fn as_any(&self) -> &dyn any::Any {
self
}
fn name(&self) -> &str {
&self.name
}
fn signature(&self) -> &logical_expr::Signature {
&self.signature
}
fn return_type(
&self,
_arg_types: &[arrow::datatypes::DataType],
) -> datafusion::common::Result<arrow::datatypes::DataType> {
Ok(arrow::datatypes::DataType::Float64)
}
fn accumulator(
&self,
_acc_args: logical_expr::function::AccumulatorArgs,
) -> datafusion::common::Result<Box<dyn logical_expr::Accumulator>> {
Ok(Box::new(SkewnessAccumulator::new()))
}
fn state_fields(
&self,
_args: logical_expr::function::StateFieldsArgs,
) -> datafusion::common::Result<Vec<arrow::datatypes::FieldRef>> {
Ok(vec![
arrow::datatypes::Field::new("count", arrow::datatypes::DataType::UInt64, true).into(),
arrow::datatypes::Field::new("sum", arrow::datatypes::DataType::Float64, true).into(),
arrow::datatypes::Field::new("sum_sqr", arrow::datatypes::DataType::Float64, true)
.into(),
arrow::datatypes::Field::new("sum_cub", arrow::datatypes::DataType::Float64, true)
.into(),
])
}
}
#[derive(Debug)]
pub struct SkewnessAccumulator {
count: u64,
sum: f64,
sum_sqr: f64,
sum_cub: f64,
}
impl SkewnessAccumulator {
fn new() -> Self {
Self {
count: 0,
sum: 0f64,
sum_sqr: 0f64,
sum_cub: 0f64,
}
}
}
impl logical_expr::Accumulator for SkewnessAccumulator {
fn update_batch(
&mut self,
values: &[arrow::array::ArrayRef],
) -> datafusion::common::Result<()> {
let array = values[0].as_primitive::<arrow::datatypes::Float64Type>();
for val in array.iter().flatten() {
self.count += 1;
self.sum += val;
self.sum_sqr += val.powi(2);
self.sum_cub += val.powi(3);
}
Ok(())
}
fn evaluate(&mut self) -> datafusion::common::Result<scalar::ScalarValue> {
if self.count <= 2 {
return Ok(scalar::ScalarValue::Float64(None));
}
let count = self.count as f64;
let t1 = 1f64 / count;
let p = (t1 * (self.sum_sqr - self.sum * self.sum * t1))
.powi(3)
.max(0f64);
let div = p.sqrt();
if div == 0f64 {
return Ok(scalar::ScalarValue::Float64(None));
}
let t2 = count.mul(count.sub(1f64)).sqrt().div(count.sub(2f64));
let res = t2
* t1
* (self.sum_cub - 3f64 * self.sum_sqr * self.sum * t1
+ 2f64 * self.sum.powi(3) * t1 * t1)
/ div;
Ok(scalar::ScalarValue::Float64(Some(res)))
}
fn size(&self) -> usize {
mem::size_of_val(self)
}
fn state(&mut self) -> datafusion::common::Result<Vec<scalar::ScalarValue>> {
Ok(vec![
scalar::ScalarValue::from(self.count),
scalar::ScalarValue::from(self.sum),
scalar::ScalarValue::from(self.sum_sqr),
scalar::ScalarValue::from(self.sum_cub),
])
}
fn merge_batch(&mut self, states: &[arrow::array::ArrayRef]) -> datafusion::common::Result<()> {
let counts = states[0].as_primitive::<arrow::datatypes::UInt64Type>();
let sums = states[1].as_primitive::<arrow::datatypes::Float64Type>();
let sum_sqrs = states[2].as_primitive::<arrow::datatypes::Float64Type>();
let sum_cubs = states[3].as_primitive::<arrow::datatypes::Float64Type>();
for i in 0..counts.len() {
let c = counts.value(i);
if c == 0 {
continue;
}
self.count += c;
self.sum += sums.value(i);
self.sum_sqr += sum_sqrs.value(i);
self.sum_cub += sum_cubs.value(i);
}
Ok(())
}
}