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doc: update docs for the utility library

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- Correct the time complexity of hash table insert.
- Explain more about hash table limitation regarding collisions.
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CismonX 2025-03-16 12:48:58 +08:00
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doc/bookmarkfs.texi
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@ -3739,7 +3739,7 @@ Time complexity:
@multitable @columnfractions .33 .33 .33 @multitable @columnfractions .33 .33 .33
@headitem Operation @tab Average @tab Worst case @headitem Operation @tab Average @tab Worst case
@item Insert @tab @t{Θ(1)} @tab @t{O(n log n)} @item Insert @tab @t{Θ(1)} @tab @t{O(n)}
@item Search @tab @t{Θ(1)} @tab @t{O(log n)} @item Search @tab @t{Θ(1)} @tab @t{O(log n)}
@item Delete @tab @t{Θ(1)} @tab @t{O(log n)} @item Delete @tab @t{Θ(1)} @tab @t{O(log n)}
@end multitable @end multitable
@ -3962,6 +3962,10 @@ Limitations:
@item Insertion performance is sacrificed in favor of search performance. @item Insertion performance is sacrificed in favor of search performance.
@item Suffers more from collisions than traditional open addressing. @item Suffers more from collisions than traditional open addressing.
Too many collisions on a single bucket forces a rehash.
With a good-quality hash function, the average load factor of a hash table
should be around 70%~75% before it must rehash.
@item Performance is suboptimal without hardware support for @item Performance is suboptimal without hardware support for
@uref{https://en.wikipedia.org/wiki/Find_first_set, Find First Set}. @uref{https://en.wikipedia.org/wiki/Find_first_set, Find First Set}.