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6 changes: 5 additions & 1 deletion arrow/benches/partition_kernels.rs
Original file line number Diff line number Diff line change
Expand Up @@ -48,7 +48,11 @@ fn bench_partition(sorted_columns: &[ArrayRef]) {
})
.collect::<Vec<_>>();

criterion::black_box(lexicographical_partition_ranges(&columns).unwrap());
criterion::black_box(
lexicographical_partition_ranges(&columns)
.unwrap()
.collect::<Vec<_>>(),
);
}

fn create_sorted_low_cardinality_data(length: usize) -> Vec<ArrayRef> {
Expand Down
163 changes: 75 additions & 88 deletions arrow/src/compute/kernels/partition.rs
Original file line number Diff line number Diff line change
Expand Up @@ -21,6 +21,7 @@ use crate::compute::kernels::sort::LexicographicalComparator;
use crate::compute::SortColumn;
use crate::error::{ArrowError, Result};
use std::cmp::Ordering;
use std::iter::Iterator;
use std::ops::Range;

/// Given a list of already sorted columns, find partition ranges that would partition
Expand All @@ -34,65 +35,71 @@ use std::ops::Range;
/// range.
pub fn lexicographical_partition_ranges(
columns: &[SortColumn],
) -> Result<Vec<Range<usize>>> {
let partition_points = lexicographical_partition_points(columns)?;
Ok(partition_points
.iter()
.zip(partition_points[1..].iter())
.map(|(&start, &end)| Range { start, end })
.collect())
) -> Result<impl Iterator<Item = Range<usize>> + '_> {
LexicographicalPartitionIterator::try_new(columns)
}

/// Given a list of already sorted columns, find partition ranges that would partition
/// lexicographically equal values across columns.
///
/// Here LexicographicalComparator is used in conjunction with binary
/// search so the columns *MUST* be pre-sorted already.
///
/// The returned vec would be of size k+1 where k is cardinality of the sorted values; the first and
/// last value would be 0 and n.
fn lexicographical_partition_points(columns: &[SortColumn]) -> Result<Vec<usize>> {
if columns.is_empty() {
return Err(ArrowError::InvalidArgumentError(
"Sort requires at least one column".to_string(),
));
}
let row_count = columns[0].values.len();
if columns.iter().any(|item| item.values.len() != row_count) {
return Err(ArrowError::ComputeError(
"Lexical sort columns have different row counts".to_string(),
));
};
struct LexicographicalPartitionIterator<'a> {
comparator: LexicographicalComparator<'a>,
num_rows: usize,
previous_partition_point: usize,
partition_point: usize,
value_indices: Vec<usize>,
}

impl<'a> LexicographicalPartitionIterator<'a> {
fn try_new(columns: &'a [SortColumn]) -> Result<LexicographicalPartitionIterator> {
if columns.is_empty() {
return Err(ArrowError::InvalidArgumentError(
"Sort requires at least one column".to_string(),
));
}
let num_rows = columns[0].values.len();
if columns.iter().any(|item| item.values.len() != num_rows) {
return Err(ArrowError::ComputeError(
"Lexical sort columns have different row counts".to_string(),
));
};

let mut result = vec![];
if row_count == 0 {
return Ok(result);
let comparator = LexicographicalComparator::try_new(columns)?;
let value_indices = (0..num_rows).collect::<Vec<usize>>();
Ok(LexicographicalPartitionIterator {
comparator,
num_rows,
previous_partition_point: 0,
partition_point: 0,
value_indices,
})
}
}

let lexicographical_comparator = LexicographicalComparator::try_new(columns)?;
let value_indices = (0..row_count).collect::<Vec<usize>>();
impl<'a> Iterator for LexicographicalPartitionIterator<'a> {
type Item = Range<usize>;

let mut previous_partition_point = 0;
result.push(previous_partition_point);
while previous_partition_point < row_count {
// invariant:
// value_indices[0..previous_partition_point] all are values <= value_indices[previous_partition_point]
// so in order to save time we can do binary search on the value_indices[previous_partition_point..]
// and find when any value is greater than value_indices[previous_partition_point]; because we are using
// new indices, the new offset is _added_ to the previous_partition_point.
//
// be careful that idx is of type &usize which points to the actual value within value_indices, which itself
// contains usize (0..row_count), providing access to lexicographical_comparator as pointers into the
// original columnar data.
previous_partition_point += value_indices[previous_partition_point..]
.partition_point(|idx| {
lexicographical_comparator.compare(idx, &previous_partition_point)
!= Ordering::Greater
});
result.push(previous_partition_point);
fn next(&mut self) -> Option<Self::Item> {
if self.partition_point < self.num_rows {
// invariant:
// value_indices[0..previous_partition_point] all are values <= value_indices[previous_partition_point]
// so in order to save time we can do binary search on the value_indices[previous_partition_point..]
// and find when any value is greater than value_indices[previous_partition_point]; because we are using
// new indices, the new offset is _added_ to the previous_partition_point.
//
// be careful that idx is of type &usize which points to the actual value within value_indices, which itself
// contains usize (0..row_count), providing access to lexicographical_comparator as pointers into the
// original columnar data.
self.partition_point += self.value_indices[self.partition_point..]
.partition_point(|idx| {
self.comparator.compare(idx, &self.partition_point)
!= Ordering::Greater
});
let start = self.previous_partition_point;
let end = self.partition_point;
self.previous_partition_point = self.partition_point;
Some(Range { start, end })
} else {
None
}
}

Ok(result)
}

#[cfg(test)]
Expand All @@ -104,16 +111,16 @@ mod tests {
use std::sync::Arc;

#[test]
fn test_lexicographical_partition_points_empty() {
fn test_lexicographical_partition_ranges_empty() {
let input = vec![];
assert!(
lexicographical_partition_points(&input).is_err(),
"lexicographical_partition_points should reject columns with empty rows"
lexicographical_partition_ranges(&input).is_err(),
"lexicographical_partition_ranges should reject columns with empty rows"
);
}

#[test]
fn test_lexicographical_partition_points_unaligned_rows() {
fn test_lexicographical_partition_ranges_unaligned_rows() {
let input = vec![
SortColumn {
values: Arc::new(Int64Array::from(vec![None, Some(-1)])) as ArrayRef,
Expand All @@ -125,8 +132,8 @@ mod tests {
},
];
assert!(
lexicographical_partition_points(&input).is_err(),
"lexicographical_partition_points should reject columns with different row counts"
lexicographical_partition_ranges(&input).is_err(),
"lexicographical_partition_ranges should reject columns with different row counts"
);
}

Expand All @@ -140,15 +147,11 @@ mod tests {
nulls_first: true,
}),
}];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1, 8, 9], results);
}
{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(
vec![(0_usize..1_usize), (1_usize..8_usize), (8_usize..9_usize)],
results
results.collect::<Vec<_>>()
);
}
Ok(())
Expand All @@ -163,13 +166,10 @@ mod tests {
nulls_first: true,
}),
}];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1000], results);
}

{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(vec![(0_usize..1000_usize)], results);
assert_eq!(vec![(0_usize..1000_usize)], results.collect::<Vec<_>>());
}
Ok(())
}
Expand All @@ -192,13 +192,9 @@ mod tests {
}),
},
];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1000], results);
}
{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(vec![(0_usize..1000_usize)], results);
assert_eq!(vec![(0_usize..1000_usize)], results.collect::<Vec<_>>());
}
Ok(())
}
Expand All @@ -222,13 +218,12 @@ mod tests {
}),
},
];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1, 2], results);
}
{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(vec![(0_usize..1_usize), (1_usize..2_usize)], results);
assert_eq!(
vec![(0_usize..1_usize), (1_usize..2_usize)],
results.collect::<Vec<_>>()
);
}
Ok(())
}
Expand Down Expand Up @@ -256,15 +251,11 @@ mod tests {
}),
},
];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1, 2, 3], results);
}
{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(
vec![(0_usize..1_usize), (1_usize..2_usize), (2_usize..3_usize),],
results
results.collect::<Vec<_>>()
);
}
Ok(())
Expand Down Expand Up @@ -298,15 +289,11 @@ mod tests {
}),
},
];
{
let results = lexicographical_partition_points(&input)?;
assert_eq!(vec![0, 1, 3, 4], results);
}
{
let results = lexicographical_partition_ranges(&input)?;
assert_eq!(
vec![(0_usize..1_usize), (1_usize..3_usize), (3_usize..4_usize),],
results
results.collect::<Vec<_>>()
);
}
Ok(())
Expand Down