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Add vector time complexity #121262

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Mar 5, 2024
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21 changes: 21 additions & 0 deletions library/alloc/src/vec/mod.rs
Original file line number Diff line number Diff line change
Expand Up @@ -1490,6 +1490,12 @@ impl<T, A: Allocator> Vec<T, A> {
/// vec.insert(4, 5);
/// assert_eq!(vec, [1, 4, 2, 3, 5]);
/// ```
///
/// # Time complexity
///
/// Takes *O*([`Vec::len`]) time. All items after the insertion index must be
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@ShE3py ShE3py Feb 18, 2024

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Suggested change
/// Takes *O*([`Vec::len`]) time. All items after the insertion index must be
/// Takes at worst *O*(*n*) time. All items after the insertion index must be

And perhaps specify that if index = n then it's O(1).

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I think it's fine -- Big O notation doesn't have to be precise, and this does represent the average (len/2) number of items that have to move, since constants like 1/2 are usually dropped.

/// shifted to the right. In the worst case, all elements are shifted when
/// the insertion index is 0.
#[cfg(not(no_global_oom_handling))]
#[stable(feature = "rust1", since = "1.0.0")]
pub fn insert(&mut self, index: usize, element: T) {
Expand Down Expand Up @@ -1912,6 +1918,13 @@ impl<T, A: Allocator> Vec<T, A> {
/// vec.push(3);
/// assert_eq!(vec, [1, 2, 3]);
/// ```
///
/// # Time complexity
///
/// Takes amortized *O*(1) time. If the vector's length would exceed its capacity after
/// the push, *O*(*capacity*) space is allocated, doubling the capacity and
/// taking *O*(*capacity*) time. This expensive operation is offset by the
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/// *capacity* *O*(1) insertions it allows.
#[cfg(not(no_global_oom_handling))]
#[inline]
#[stable(feature = "rust1", since = "1.0.0")]
Expand Down Expand Up @@ -1959,6 +1972,10 @@ impl<T, A: Allocator> Vec<T, A> {
/// }
/// assert_eq!(from_iter_fallible(0..100), Ok(Vec::from_iter(0..100)));
/// ```
///
/// # Time complexity
///
/// Takes *O*(1) time.
#[inline]
#[unstable(feature = "vec_push_within_capacity", issue = "100486")]
pub fn push_within_capacity(&mut self, value: T) -> Result<(), T> {
Expand Down Expand Up @@ -1988,6 +2005,10 @@ impl<T, A: Allocator> Vec<T, A> {
/// assert_eq!(vec.pop(), Some(3));
/// assert_eq!(vec, [1, 2]);
/// ```
///
/// # Time complexity
///
/// Takes *O*(1) time.
#[inline]
#[stable(feature = "rust1", since = "1.0.0")]
pub fn pop(&mut self) -> Option<T> {
Expand Down
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