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use smallvec::SmallVec;
use std::fmt::Debug;
use std::ops::{Range, RangeFrom, RangeFull, RangeTo};
/// Specifies a subset of a dimension to include when slicing a tensor or view.
///
/// Can be constructed from an index or range using `index_or_range.into()`.
#[derive(Clone, Copy, Debug, PartialEq)]
pub enum SliceItem {
/// Extract a specific index from a dimension.
///
/// The number of dimensions in the sliced view will be one minus the number
/// of dimensions sliced with an index. If the index is negative, it counts
/// back from the end of the dimension.
Index(isize),
/// Include a subset of the range of the dimension.
Range(SliceRange),
}
impl SliceItem {
/// Return a SliceItem that extracts the full range of a dimension.
#[inline]
pub fn full_range() -> Self {
(..).into()
}
/// Return a SliceItem that extracts part of an axis.
#[inline]
pub fn range(start: isize, end: Option<isize>, step: isize) -> SliceItem {
SliceItem::Range(SliceRange::new(start, end, step))
}
}
// This conversion exists to avoid ambiguity when slicing a tensor with a
// numeric literal of unspecified type (eg. `tensor.slice((0, 0))`). In this
// case it is ambiguous which `SliceItem::from` should be used, but the i32
// case is used if it exists.
impl From<i32> for SliceItem {
#[inline]
fn from(value: i32) -> Self {
SliceItem::Index(value as isize)
}
}
impl From<isize> for SliceItem {
#[inline]
fn from(value: isize) -> Self {
SliceItem::Index(value)
}
}
impl From<usize> for SliceItem {
#[inline]
fn from(value: usize) -> Self {
SliceItem::Index(value as isize)
}
}
impl<R> From<R> for SliceItem
where
R: Into<SliceRange>,
{
fn from(value: R) -> Self {
SliceItem::Range(value.into())
}
}
/// Used to convert sequences of indices and/or ranges into a uniform
/// `[SliceItem]` array that can be used to slice a tensor.
///
/// This trait is implemented for:
///
/// - Individual indices and ranges (types satisfying `Into<SliceItem>`)
/// - Arrays of indices or ranges
/// - Tuples of indices and/or ranges
/// - `[SliceItem]` slices
///
/// Ranges can be specified using regular Rust ranges (eg. `start..end`,
/// `start..`, `..end`, `..`) or a [SliceRange], which extends regular Rust
/// ranges with support for steps and specifying endpoints using negative
/// values, which behaves similarly to using negative values in NumPy.
pub trait IntoSliceItems {
type Array: AsRef<[SliceItem]>;
fn into_slice_items(self) -> Self::Array;
}
impl<'a> IntoSliceItems for &'a [SliceItem] {
type Array = &'a [SliceItem];
fn into_slice_items(self) -> &'a [SliceItem] {
self
}
}
impl<const N: usize, T: Into<SliceItem>> IntoSliceItems for [T; N] {
type Array = [SliceItem; N];
fn into_slice_items(self) -> [SliceItem; N] {
self.map(|x| x.into())
}
}
impl<T: Into<SliceItem>> IntoSliceItems for T {
type Array = [SliceItem; 1];
fn into_slice_items(self) -> [SliceItem; 1] {
[self.into()]
}
}
impl<T1: Into<SliceItem>> IntoSliceItems for (T1,) {
type Array = [SliceItem; 1];
fn into_slice_items(self) -> [SliceItem; 1] {
[self.0.into()]
}
}
impl<T1: Into<SliceItem>, T2: Into<SliceItem>> IntoSliceItems for (T1, T2) {
type Array = [SliceItem; 2];
fn into_slice_items(self) -> [SliceItem; 2] {
[self.0.into(), self.1.into()]
}
}
impl<T1: Into<SliceItem>, T2: Into<SliceItem>, T3: Into<SliceItem>> IntoSliceItems
for (T1, T2, T3)
{
type Array = [SliceItem; 3];
fn into_slice_items(self) -> [SliceItem; 3] {
[self.0.into(), self.1.into(), self.2.into()]
}
}
impl<T1: Into<SliceItem>, T2: Into<SliceItem>, T3: Into<SliceItem>, T4: Into<SliceItem>>
IntoSliceItems for (T1, T2, T3, T4)
{
type Array = [SliceItem; 4];
fn into_slice_items(self) -> [SliceItem; 4] {
[self.0.into(), self.1.into(), self.2.into(), self.3.into()]
}
}
/// Dynamically sized array of [SliceItem]s, which avoids allocating in the
/// common case where the length is small.
pub type DynSliceItems = SmallVec<[SliceItem; 5]>;
/// Convert a slice of indices into [SliceItem]s.
///
/// To convert indices of a statically known length to [SliceItem]s, use
/// [IntoSliceItems] instead. This function is for the case when the length
/// is not statically known, but is assumed to likely be small.
pub fn to_slice_items<T: Clone + Into<SliceItem>>(index: &[T]) -> DynSliceItems {
index.iter().map(|x| x.clone().into()).collect()
}
/// A range for slicing a [Tensor](crate::Tensor) or [NdTensor](crate::NdTensor).
///
/// This has two main differences from [Range].
///
/// - A non-zero step between indices can be specified. The step can be negative,
/// which means that the dimension should be traversed in reverse order.
/// - The `start` and `end` indexes can also be negative, in which case they
/// count backwards from the end of the array.
///
/// This system for specifying slicing and indexing follows NumPy, which in
/// turn strongly influenced slicing in ONNX.
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct SliceRange {
/// First index in range.
pub start: isize,
/// Last index (exclusive) in range, or None if the range extends to the
/// end of a dimension.
pub end: Option<isize>,
/// The steps between adjacent elements selected by this range. This
/// is private so this module can enforce the invariant that it is non-zero.
step: isize,
}
impl SliceRange {
/// Create a new range from `start` to `end`. The `start` index is inclusive
/// and the `end` value is exclusive. If `end` is None, the range spans
/// to the end of the dimension.
///
/// Panics if the `step` size is 0.
#[inline]
pub fn new(start: isize, end: Option<isize>, step: isize) -> SliceRange {
assert!(step != 0, "Slice step cannot be 0");
SliceRange { start, end, step }
}
/// Return the number of elements that would be retained if using this range
/// to slice a dimension of size `dim_size`.
pub fn steps(&self, dim_size: usize) -> usize {
let clamped = self.clamp(dim_size);
let start_idx = Self::offset_from_start(clamped.start, dim_size);
let end_idx = clamped
.end
.map(|index| Self::offset_from_start(index, dim_size))
.unwrap_or(dim_size as isize);
if (clamped.step > 0 && end_idx <= start_idx) || (clamped.step < 0 && end_idx >= start_idx)
{
return 0;
}
let steps = if clamped.step > 0 {
1 + (end_idx - start_idx - 1) / clamped.step
} else {
1 + (start_idx - end_idx - 1) / -clamped.step
};
steps.max(0) as usize
}
/// Return a copy of this range with indexes adjusted so that they are valid
/// for a tensor dimension of size `dim_size`.
///
/// Valid indexes depend on direction that the dimension is traversed
/// (forwards if `self.step` is positive or backwards if negative). They
/// start at the first element going in that direction and end after the
/// last element.
pub fn clamp(&self, dim_size: usize) -> SliceRange {
let len = dim_size as isize;
let min_idx;
let max_idx;
if self.step > 0 {
// When traversing forwards, the range of valid +ve indexes is `[0,
// len]` and for -ve indexes `[-len, -1]`.
min_idx = -len;
max_idx = len;
} else {
// When traversing backwards, the range of valid +ve indexes are
// `[0, len-1]` and for -ve indexes `[-len-1, -1]`.
min_idx = -len - 1;
max_idx = len - 1;
}
SliceRange::new(
self.start.clamp(min_idx, max_idx),
self.end.map(|e| e.clamp(min_idx, max_idx)),
self.step,
)
}
pub fn step(&self) -> isize {
self.step
}
/// Clamp this range so that it is valid for a dimension of size `dim_size`
/// and resolve it to a positive range.
///
/// This method is useful for implementing Python/NumPy-style slicing where
/// range endpoints can be out of bounds.
pub fn resolve_clamped(&self, dim_size: usize) -> Range<usize> {
self.clamp(dim_size).resolve(dim_size).unwrap()
}
/// Resolve the range endpoints to a positive range in `[0, dim_size)`.
///
/// Returns the range if resolved or None if out of bounds.
///
/// If `self.step` is positive, the returned range counts forwards from
/// the first index of the dimension, otherwise it counts backwards from
/// the last index.
#[inline]
pub fn resolve(&self, dim_size: usize) -> Option<Range<usize>> {
let (start, end) = if self.step > 0 {
let start = Self::offset_from_start(self.start, dim_size);
let end = self
.end
.map(|end| Self::offset_from_start(end, dim_size))
.unwrap_or(dim_size as isize);
(start, end)
} else {
let start = Self::offset_from_end(self.start, dim_size);
let end = self
.end
.map(|end| Self::offset_from_end(end, dim_size))
.unwrap_or(dim_size as isize);
(start, end)
};
if start >= 0 && end <= dim_size as isize && start <= end {
Some(start as usize..end as usize)
} else {
None
}
}
/// Resolve an index to an offset from the first index of the dimension.
#[inline]
fn offset_from_start(index: isize, dim_size: usize) -> isize {
if index >= 0 {
index
} else {
dim_size as isize + index
}
}
/// Resolve an index to an offset from the last index of the dimension.
#[inline]
fn offset_from_end(index: isize, dim_size: usize) -> isize {
if index >= 0 {
dim_size as isize - 1 - index
} else {
dim_size as isize + index
}
}
}
impl<T> From<Range<T>> for SliceRange
where
T: TryInto<isize>,
<T as TryInto<isize>>::Error: Debug,
{
fn from(r: Range<T>) -> SliceRange {
let start = r.start.try_into().unwrap();
let end = r.end.try_into().unwrap();
SliceRange::new(start, Some(end), 1)
}
}
impl<T> From<RangeTo<T>> for SliceRange
where
T: TryInto<isize>,
<T as TryInto<isize>>::Error: Debug,
{
fn from(r: RangeTo<T>) -> SliceRange {
let end = r.end.try_into().unwrap();
SliceRange::new(0, Some(end), 1)
}
}
impl<T> From<RangeFrom<T>> for SliceRange
where
T: TryInto<isize>,
<T as TryInto<isize>>::Error: Debug,
{
fn from(r: RangeFrom<T>) -> SliceRange {
let start = r.start.try_into().unwrap();
SliceRange::new(start, None, 1)
}
}
impl From<RangeFull> for SliceRange {
#[inline]
fn from(_: RangeFull) -> SliceRange {
SliceRange::new(0, None, 1)
}
}
#[cfg(test)]
mod tests {
use super::{IntoSliceItems, SliceItem, SliceRange};
#[test]
fn test_into_slice_items() {
let x = (42).into_slice_items();
assert_eq!(x, [SliceItem::Index(42)]);
let x = (2..5).into_slice_items();
assert_eq!(x, [SliceItem::Range((2..5).into())]);
let x = (..5).into_slice_items();
assert_eq!(x, [SliceItem::Range((0..5).into())]);
let x = (3..).into_slice_items();
assert_eq!(x, [SliceItem::Range((3..).into())]);
let x = [1].into_slice_items();
assert_eq!(x, [SliceItem::Index(1)]);
let x = [1, 2].into_slice_items();
assert_eq!(x, [SliceItem::Index(1), SliceItem::Index(2)]);
let x = (0, 1..2, ..).into_slice_items();
assert_eq!(
x,
[
SliceItem::Index(0),
SliceItem::Range((1..2).into()),
SliceItem::full_range()
]
);
}
#[test]
fn test_slice_range_resolve() {
// +ve endpoints, +ve step
assert_eq!(SliceRange::new(0, Some(5), 1).resolve_clamped(10), 0..5);
assert_eq!(SliceRange::new(0, None, 1).resolve_clamped(10), 0..10);
assert_eq!(SliceRange::new(15, Some(20), 1).resolve_clamped(10), 10..10);
assert_eq!(SliceRange::new(15, Some(20), 1).resolve(10), None);
// -ve endpoints, +ve step
assert_eq!(SliceRange::new(-5, Some(-1), 1).resolve_clamped(10), 5..9);
assert_eq!(SliceRange::new(-20, Some(-1), 1).resolve_clamped(10), 0..9);
assert_eq!(SliceRange::new(-20, Some(-1), 1).resolve(10), None);
assert_eq!(SliceRange::new(-5, None, 1).resolve_clamped(10), 5..10);
// +ve endpoints, -ve step.
//
// Note the returned ranges count backwards from the end of the
// dimension.
assert_eq!(SliceRange::new(5, Some(0), -1).resolve_clamped(10), 4..9);
assert_eq!(SliceRange::new(5, None, -1).resolve_clamped(10), 4..10);
assert_eq!(SliceRange::new(9, None, -1).resolve_clamped(10), 0..10);
}
}