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-# SMAWK Algorithm in Rust
-
-[![](https://github.com/mgeisler/smawk/workflows/build/badge.svg)][build-status]
-[![](https://codecov.io/gh/mgeisler/smawk/branch/master/graph/badge.svg)][codecov]
-[![](https://img.shields.io/crates/v/smawk.svg)][crates-io]
-[![](https://docs.rs/smawk/badge.svg)][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