use arrow::compute::{and, filter, is_not_null};
use std::{any::Any, sync::Arc};
use crate::agg_funcs::covariance::CovarianceAccumulator;
use crate::agg_funcs::stddev::StddevAccumulator;
use arrow::datatypes::FieldRef;
use arrow::{
array::ArrayRef,
datatypes::{DataType, Field},
};
use datafusion::common::{Result, ScalarValue};
use datafusion::logical_expr::function::{AccumulatorArgs, StateFieldsArgs};
use datafusion::logical_expr::type_coercion::aggregates::NUMERICS;
use datafusion::logical_expr::{Accumulator, AggregateUDFImpl, Signature, Volatility};
use datafusion::physical_expr::expressions::format_state_name;
use datafusion::physical_expr::expressions::StatsType;
#[derive(Debug)]
pub struct Correlation {
name: String,
signature: Signature,
null_on_divide_by_zero: bool,
}
impl Correlation {
pub fn new(name: impl Into<String>, data_type: DataType, null_on_divide_by_zero: bool) -> Self {
assert!(matches!(data_type, DataType::Float64));
Self {
name: name.into(),
signature: Signature::uniform(2, NUMERICS.to_vec(), Volatility::Immutable),
null_on_divide_by_zero,
}
}
}
impl AggregateUDFImpl for Correlation {
fn as_any(&self) -> &dyn Any {
self
}
fn name(&self) -> &str {
&self.name
}
fn signature(&self) -> &Signature {
&self.signature
}
fn return_type(&self, _arg_types: &[DataType]) -> Result<DataType> {
Ok(DataType::Float64)
}
fn default_value(&self, _data_type: &DataType) -> Result<ScalarValue> {
Ok(ScalarValue::Float64(None))
}
fn accumulator(&self, _acc_args: AccumulatorArgs) -> Result<Box<dyn Accumulator>> {
Ok(Box::new(CorrelationAccumulator::try_new(
self.null_on_divide_by_zero,
)?))
}
fn state_fields(&self, _args: StateFieldsArgs) -> Result<Vec<FieldRef>> {
Ok(vec![
Arc::new(Field::new(
format_state_name(&self.name, "count"),
DataType::Float64,
true,
)),
Arc::new(Field::new(
format_state_name(&self.name, "mean1"),
DataType::Float64,
true,
)),
Arc::new(Field::new(
format_state_name(&self.name, "mean2"),
DataType::Float64,
true,
)),
Arc::new(Field::new(
format_state_name(&self.name, "algo_const"),
DataType::Float64,
true,
)),
Arc::new(Field::new(
format_state_name(&self.name, "m2_1"),
DataType::Float64,
true,
)),
Arc::new(Field::new(
format_state_name(&self.name, "m2_2"),
DataType::Float64,
true,
)),
])
}
}
#[derive(Debug)]
pub struct CorrelationAccumulator {
covar: CovarianceAccumulator,
stddev1: StddevAccumulator,
stddev2: StddevAccumulator,
null_on_divide_by_zero: bool,
}
impl CorrelationAccumulator {
pub fn try_new(null_on_divide_by_zero: bool) -> Result<Self> {
Ok(Self {
covar: CovarianceAccumulator::try_new(StatsType::Population, null_on_divide_by_zero)?,
stddev1: StddevAccumulator::try_new(StatsType::Population, null_on_divide_by_zero)?,
stddev2: StddevAccumulator::try_new(StatsType::Population, null_on_divide_by_zero)?,
null_on_divide_by_zero,
})
}
}
impl Accumulator for CorrelationAccumulator {
fn state(&mut self) -> Result<Vec<ScalarValue>> {
Ok(vec![
ScalarValue::from(self.covar.get_count()),
ScalarValue::from(self.covar.get_mean1()),
ScalarValue::from(self.covar.get_mean2()),
ScalarValue::from(self.covar.get_algo_const()),
ScalarValue::from(self.stddev1.get_m2()),
ScalarValue::from(self.stddev2.get_m2()),
])
}
fn update_batch(&mut self, values: &[ArrayRef]) -> Result<()> {
let values = if values[0].null_count() != 0 || values[1].null_count() != 0 {
let mask = and(&is_not_null(&values[0])?, &is_not_null(&values[1])?)?;
let values1 = filter(&values[0], &mask)?;
let values2 = filter(&values[1], &mask)?;
vec![values1, values2]
} else {
values.to_vec()
};
if !values[0].is_empty() && !values[1].is_empty() {
self.covar.update_batch(&values)?;
self.stddev1.update_batch(&values[0..1])?;
self.stddev2.update_batch(&values[1..2])?;
}
Ok(())
}
fn retract_batch(&mut self, values: &[ArrayRef]) -> Result<()> {
let values = if values[0].null_count() != 0 || values[1].null_count() != 0 {
let mask = and(&is_not_null(&values[0])?, &is_not_null(&values[1])?)?;
let values1 = filter(&values[0], &mask)?;
let values2 = filter(&values[1], &mask)?;
vec![values1, values2]
} else {
values.to_vec()
};
self.covar.retract_batch(&values)?;
self.stddev1.retract_batch(&values[0..1])?;
self.stddev2.retract_batch(&values[1..2])?;
Ok(())
}
fn merge_batch(&mut self, states: &[ArrayRef]) -> Result<()> {
let states_c = [
Arc::clone(&states[0]),
Arc::clone(&states[1]),
Arc::clone(&states[2]),
Arc::clone(&states[3]),
];
let states_s1 = [
Arc::clone(&states[0]),
Arc::clone(&states[1]),
Arc::clone(&states[4]),
];
let states_s2 = [
Arc::clone(&states[0]),
Arc::clone(&states[2]),
Arc::clone(&states[5]),
];
if !states[0].is_empty() && !states[1].is_empty() && !states[2].is_empty() {
self.covar.merge_batch(&states_c)?;
self.stddev1.merge_batch(&states_s1)?;
self.stddev2.merge_batch(&states_s2)?;
}
Ok(())
}
fn evaluate(&mut self) -> Result<ScalarValue> {
let covar = self.covar.evaluate()?;
let stddev1 = self.stddev1.evaluate()?;
let stddev2 = self.stddev2.evaluate()?;
match (covar, stddev1, stddev2) {
(
ScalarValue::Float64(Some(c)),
ScalarValue::Float64(Some(s1)),
ScalarValue::Float64(Some(s2)),
) if s1 != 0.0 && s2 != 0.0 => Ok(ScalarValue::Float64(Some(c / (s1 * s2)))),
_ if self.null_on_divide_by_zero => Ok(ScalarValue::Float64(None)),
_ => {
if self.covar.get_count() == 1.0 {
return Ok(ScalarValue::Float64(Some(f64::NAN)));
}
Ok(ScalarValue::Float64(None))
}
}
}
fn size(&self) -> usize {
std::mem::size_of_val(self) - std::mem::size_of_val(&self.covar) + self.covar.size()
- std::mem::size_of_val(&self.stddev1)
+ self.stddev1.size()
- std::mem::size_of_val(&self.stddev2)
+ self.stddev2.size()
}
}