diff options
Diffstat (limited to 'vendor/smawk/README.md')
| -rw-r--r-- | vendor/smawk/README.md | 151 |
1 files changed, 151 insertions, 0 deletions
diff --git a/vendor/smawk/README.md b/vendor/smawk/README.md new file mode 100644 index 0000000..7d45acf --- /dev/null +++ b/vendor/smawk/README.md @@ -0,0 +1,151 @@ +# SMAWK Algorithm in Rust + +[][build-status] +[][codecov] +[][crates-io] +[][api-docs] + +This crate contains an implementation of the [SMAWK algorithm][smawk] for +finding the smallest element per row in a totally monotone matrix. + +The SMAWK algorithm allows you to lower the running time of some algorithms from +O(_n_²) to just O(_n_). In other words, you can turn a quadratic time complexity +(which is often too expensive) into linear time complexity. + +Finding optimal line breaks in a paragraph of text is an example of an algorithm +which would normally take O(_n_²) time for _n_ words. With this crate, the +running time becomes linear. Please see the [textwrap crate][textwrap] for an +example of this. + +## Usage + +Add this to your `Cargo.toml`: + +```toml +[dependencies] +smawk = "0.3" +``` + +You can now efficiently find row and column minima. Here is an example where we +find the column minima: + +```rust +use smawk::Matrix; + +let matrix = vec![ + vec![3, 2, 4, 5, 6], + vec![2, 1, 3, 3, 4], + vec![2, 1, 3, 3, 4], + vec![3, 2, 4, 3, 4], + vec![4, 3, 2, 1, 1], +]; +let minima = vec![1, 1, 4, 4, 4]; +assert_eq!(smawk::column_minima(&matrix), minima); +``` + +The `minima` vector gives the index of the minimum value per column, so +`minima[0] == 1` since the minimum value in the first column is 2 (row 1). Note +that the smallest row index is returned. + +### Cargo Features + +This crate has an optional dependency on the +[`ndarray` crate](https://docs.rs/ndarray/), which provides an efficient matrix +implementation. Enable the `ndarray` Cargo feature to use it. + +## Documentation + +**[API documentation][api-docs]** + +## Changelog + +### Version 0.3.2 (2023-09-17) + +This release adds more documentation and renames the top-level SMAWK functions. +The old names have been kept for now to ensure backwards compatibility, but they +will be removed in a future release. + +- [#65](https://github.com/mgeisler/smawk/pull/65): Forbid the use of unsafe + code. +- [#69](https://github.com/mgeisler/smawk/pull/69): Migrate to the Rust 2021 + edition. +- [#73](https://github.com/mgeisler/smawk/pull/73): Add examples to all + functions. +- [#74](https://github.com/mgeisler/smawk/pull/74): Add “mathematics” as a crate + category. +- [#75](https://github.com/mgeisler/smawk/pull/75): Remove `smawk_` prefix from + optimized functions. + +### Version 0.3.1 (2021-01-30) + +This release relaxes the bounds on the `smawk_row_minima`, +`smawk_column_minima`, and `online_column_minima` functions so that they work on +matrices containing floating point numbers. + +- [#55](https://github.com/mgeisler/smawk/pull/55): Relax bounds to `PartialOrd` + instead of `Ord`. +- [#56](https://github.com/mgeisler/smawk/pull/56): Update dependencies to their + latest versions. +- [#59](https://github.com/mgeisler/smawk/pull/59): Give an example of what + SMAWK does in the README. + +### Version 0.3.0 (2020-09-02) + +This release slims down the crate significantly by making `ndarray` an optional +dependency. + +- [#45](https://github.com/mgeisler/smawk/pull/45): Move non-SMAWK code and unit + tests out of lib and into separate modules. +- [#46](https://github.com/mgeisler/smawk/pull/46): Switch `smawk_row_minima` + and `smawk_column_minima` functions to a new `Matrix` trait. +- [#47](https://github.com/mgeisler/smawk/pull/47): Make the dependency on the + `ndarray` crate optional. +- [#48](https://github.com/mgeisler/smawk/pull/48): Let `is_monge` take a + `Matrix` argument instead of `ndarray::Array2`. +- [#50](https://github.com/mgeisler/smawk/pull/50): Remove mandatory + dependencies on `rand` and `num-traits` crates. + +### Version 0.2.0 (2020-07-29) + +This release updates the code to Rust 2018. + +- [#18](https://github.com/mgeisler/smawk/pull/18): Make `online_column_minima` + generic in matrix type. +- [#23](https://github.com/mgeisler/smawk/pull/23): Switch to the + [Rust 2018][rust-2018] edition. We test against the latest stable and nightly + version of Rust. +- [#29](https://github.com/mgeisler/smawk/pull/29): Drop strict Rust 2018 + compatibility by not testing with Rust 1.31.0. +- [#32](https://github.com/mgeisler/smawk/pull/32): Fix crash on overflow in + `is_monge`. +- [#33](https://github.com/mgeisler/smawk/pull/33): Update `rand` dependency to + latest version and get rid of `rand_derive`. +- [#34](https://github.com/mgeisler/smawk/pull/34): Bump `num-traits` and + `version-sync` dependencies to latest versions. +- [#35](https://github.com/mgeisler/smawk/pull/35): Drop unnecessary Windows + tests. The assumption is that the numeric computations we do are + cross-platform. +- [#36](https://github.com/mgeisler/smawk/pull/36): Update `ndarray` dependency + to the latest version. +- [#37](https://github.com/mgeisler/smawk/pull/37): Automate publishing new + releases to crates.io. + +### Version 0.1.0 — August 7th, 2018 + +First release with the classical offline SMAWK algorithm as well as a newer +online version where the matrix entries can depend on previously computed column +minima. + +## License + +SMAWK can be distributed according to the [MIT license][mit]. Contributions will +be accepted under the same license. + +[build-status]: https://github.com/mgeisler/smawk/actions?query=branch%3Amaster+workflow%3Abuild +[crates-io]: https://crates.io/crates/smawk +[codecov]: https://codecov.io/gh/mgeisler/smawk +[textwrap]: https://crates.io/crates/textwrap +[smawk]: https://en.wikipedia.org/wiki/SMAWK_algorithm +[api-docs]: https://docs.rs/smawk/ +[rust-2018]: https://doc.rust-lang.org/edition-guide/rust-2018/ +[mit]: LICENSE |