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Contributions

  • Implemented ...
    • 1-4 Pivot Quicksort
    • 1-2 Pivot Block Partitioning Quicksort

Run

  1. run only the bench in rust
  • install Rust🦀 and perf for profiling
sudo sh -c 'echo 1 >/proc/sys/kernel/perf_event_paranoid'
cargo bench
  • see benches/bench.rs for more details
  1. install it to Python🐍
  • activate virtual env

    python3 -m venv .venv
    source .venv/bin/activate
  • build wheels

    pip install maturin .
    maturin develop --release
    
  • see example usages in rust_sorts/sorts.py

Latest results

See Conclusion of Report

• The improvements achieved through the utilization of multiple pivots have seemingly reached a plateau. Despite the 4-Pivot method demonstrating the most outperforming runtime costs, the incremental gains do not compensate for the increased complexity.

• In the context of modern CPU cache coordination, most of the cache misses have been eliminated for QuickSort algorithms, with branch misses emerging as the primary bottleneck. The Block Partition method shows significant potential in mitigating branch misses. 1-Pivot Hoare’s Block Partition ranks as the top performer among the tested algorithms, underscoring the importance of a well-optimized layout over the sheer number of pivots. The reduction in branch misses achieved by the Block Partition method indicates a promising future, though challenges of complexities brought by increased pivots count still remain.

• Skewed pivot selection demonstrates potential benefits in classical QuickSorts, but a balanced pivot selection works better in BlockQuickSort. Closer the pivot is to the median, better the performance.

• The novel layout of 2-Pivot Lomuto’s Block Partition exposed the limitations introduced by more pivots. The pattern of comparing with one pivot at a time is still the only way to go by far, otherwise, any deviation from this pattern will pose risks to substantial memory access overheads, impeding CPU performance — a critical lesson for future research endeavors.

⚠ Wrapper type FloatOrd is to fix IEEE-754's NaN, -INF, INF, -0 and 0 ordinary issues and it is USER's call to ensure the validity of data

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