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+
+# Non-Riemannian optimisation
+
+This package contains [Rust] codes for the manuscript “_Forward-backward methods in bilaterally bounded Alenxandov spaces_” ([arXiv:????]) by Heikki von Koch and Tuomo Valkonen
+⟨tuomov@iki.fi⟩. It concerns the solution of problems of the type
+$$
+    \min_{x ∈ M} F(x) + G(x)
+$$
+where $F$ is a smooth function and $G$ a possibly nonsmooth convex function
+on a manifold $M$, which we do not assume to be Riemannian.
+It may, for example, be an embedded manifold in $ℝ^3$, which sharp corners.
+We have implemented the cube, as well as squared and non-squared distance functions.
+
+## Installation and usage
+
+### Installing dependencies
+
+Most dependencies are managed by the Cargo build system of [Rust]. You will
+only need to install the “nightly” Rust compiler and the
+[GNU Scientific Library] manually. At the time of writing this README,
+[alg_tools] also needs to be downloaded separately.
+
+1.  Install the [Rust] infrastructure (including Cargo) with [rustup].
+2.  Install a “nightly” release of the Rust compiler. With rustup, installed in
+    the previous step, this can be done with
+    ```console
+    rustup toolchain install nightly
+    ```
+3. Download [alg_tools] and unpack it under the same directory as this
+   package.
+
+  [rustup]: https://rustup.rs
+  [alg_tools]: https://tuomov.iki.fi/software/alg_tools/
+  [Rust]: https://www.rust-lang.org/
+  [GNU Scientific Library]: https://www.gnu.org/software/gsl/
+  [rust-GSL]: https://docs.rs/GSL/6.0.0/rgsl/
+  [Homebrew]: https://brew.sh
+  [arXiv:????]: https://arxiv.org/abs/????
+
+### Building and running the experiments
+
+To compile the code and run the experiments in the manuscript, use
+```console
+cargo run
+```
+When doing this for the first time, several dependencies will be downloaded.
+
+Alternatively, you may build the executable with
+```console
+cargo build --release
+```
+and then run it with
+```
+target/release/non-riemannian-opt
+```
+
+## Internals
+
+If you are interested in the program internals, the integrated source code
+documentation may be built and opened with
+```console
+cargo doc              # build dependency docs
+misc/cargo-d --open    # build and open KaTeX-aware docs for this crate
+```
+The `cargo-d` script ensures that KaTeX mathematics is rendered in the
+generated documentation through an ugly workaround. Unfortunately,
+`rustdoc`, akin to Rust largely itself, is stuck in 80's 7-bit gringo ASCII
+world, and does not support modern markdown features, such as mathematics.
+