DETCHART Jonathan authored 5 months ago and STEVAN Antoine committed 5 months ago

This MR adds an option to perform erasure coding using FFT rather than using a matrix. It also adds the field FP128 in the list of curves

Note that there is a redundant function `random_loss` into benchmarks/bin/fec.rs and examples/fec.rs

`algebra`, `field` and `linalg` were doing extremely similar things before...

this MR merges them into a single module `algebra`
- old `algebra` and `field` are at the root of the new `algebra`
- old `linalg` is now `algebra::linalg`

all references to these have been fixed in the rest of the codebase and the features have been tuned to work fine.

## results
>  **Note**
>
> using the improved plots from dragoon/komodo!153

![inverse](/uploads/9368bc1b23a8f8772a05b8c8bab85b96/inverse.png)
![mul](/uploads/62b9633f47360c01ffbc92fdf15afcbe/mul.png)
![transpose](/uploads/c6892261d27306037a0a2a614f93d584/transpose.png)

this adds a new custom field to the `benchmarks::fields` new module and fixes the "linalg" commands to run the benchmarks

## results
>  **Note**
>
> using the data from !156

![inverse](/uploads/9368bc1b23a8f8772a05b8c8bab85b96/inverse.png)
![mul](/uploads/62b9633f47360c01ffbc92fdf15afcbe/mul.png)
![transpose](/uploads/c6892261d27306037a0a2a614f93d584/transpose.png)

## results
![setup](/uploads/4db08ea6e0f34717137b655604381ea7/setup.png)
![commit](/uploads/4542097789129beafc1deb3319da5198/commit.png)

## new structure for the repository
- benchmarks are in `./benchmarks/` and can be run with either `cargo run --package benchmarks --bin <bench>` or the commands in `./benchmarks/README.md`
```
├── Cargo.toml
├── README.md
└── src
    └── bin
        ├── commit.rs
        ├── fec.rs
        ├── linalg.rs
        ├── operations
        │   ├── curve_group.rs
        │   └── field.rs
        ├── recoding.rs
        ├── setup.rs
        └── setup_size.rs
```

- examples are now in `./bins/` as standalone binaries and can be run either with `cargo run --package <pkg>` or with the help of the `cargo bin` command from `.nushell/cargo.nu`
```
├── curves
│   ├── Cargo.toml
│   ├── README.md
│   └── src
│       └── main.rs
├── inbreeding
│   ├── build.nu
│   ├── Cargo.toml
│   ├── consts.nu
│   ├── mod.nu
│   ├── plot.nu
│   ├── README.md
│   ├── run.nu
│   └── src
│       ├── environment.rs
│       ├── main.rs
│       └── strategy.rs
├── rank
│   ├── Cargo.toml
│   └── src
│       └── main.rs
└── rng
    ├── Cargo.toml
    └── src
        └── main.rs
```

- Nushell modules are now located in `./.nushell/`

## changelog
apart from the changes to the general structure of the repo:
- `binary.nu` -> `.nushell/binary.nu`
- new `cargo bin` command from `.nushell/cargo.nu`
- `error throw` is now defined in `.nushell/error.nu`
- main TOML has been greatly simplified because the dependencies of "examples" have been moved to the associated crates
- the rest is basically the same but in the new structure