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https://github.com/phadej/vec

Nat, Fin, Vec
https://github.com/phadej/vec

Last synced: 12 days ago
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Nat, Fin, Vec

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# fin and vec

## Vec

`vec` provides few approache to work with `Vec`:
- `naive`: explicit recusion
- no need to keep constraints around for most functions
- simple
- slow
- `pull`: `Vec n a` represented as `Fin n -> a`
- Fuses well
- Some code is hard to write (e.g. `Traversable`)
- relatively simple
- `inline`, using `InlineInduction`:
- exploits how GHC dictionary resolution works
- makes code to unroll completely for staticaly known sizes
- fast in that case

## Dependencies

![](https://raw.githubusercontent.com/phadej/vec/master/deps.png)

And with dependency flags turned off:

![](https://raw.githubusercontent.com/phadej/vec/master/deps-mini.png)

## Benchmarks: dotProduct

- `list` version sets the baseline, built-in fusion seems to kick in.
- `vector` and `unboxed` vector are 3x slower.
- *this library*, naive `vec` is even slower
- `Data.Vec.Pull` approach is slower, *except*
- that without conversions it's up to speed with `vector`
- `inline` (using `InlineInduction` over size) is *faster* than list version.

```
benchmarking dot product/list
time 23.73 ns (23.61 ns .. 23.88 ns)
1.000 R² (1.000 R² .. 1.000 R²)
mean 23.69 ns (23.58 ns .. 23.89 ns)
std dev 450.1 ps (292.0 ps .. 731.3 ps)
variance introduced by outliers: 27% (moderately inflated)

benchmarking dot product/vector
time 80.74 ns (80.16 ns .. 81.42 ns)
0.999 R² (0.999 R² .. 1.000 R²)
mean 80.83 ns (80.23 ns .. 82.21 ns)
std dev 2.760 ns (1.657 ns .. 4.830 ns)
variance introduced by outliers: 53% (severely inflated)

benchmarking dot product/unboxed
time 79.95 ns (79.34 ns .. 80.74 ns)
0.999 R² (0.999 R² .. 1.000 R²)
mean 80.44 ns (79.61 ns .. 82.51 ns)
std dev 4.278 ns (2.029 ns .. 7.869 ns)
variance introduced by outliers: 74% (severely inflated)

benchmarking dot product/vec
time 130.2 ns (129.0 ns .. 131.6 ns)
0.999 R² (0.999 R² .. 1.000 R²)
mean 130.1 ns (129.1 ns .. 131.7 ns)
std dev 4.185 ns (3.108 ns .. 5.425 ns)
variance introduced by outliers: 49% (moderately inflated)

benchmarking dot product/pull
time 245.3 ns (245.1 ns .. 245.5 ns)
1.000 R² (0.999 R² .. 1.000 R²)
mean 246.3 ns (244.7 ns .. 254.1 ns)
std dev 9.924 ns (409.7 ps .. 22.69 ns)
variance introduced by outliers: 59% (severely inflated)

benchmarking dot product/pull'
time 71.18 ns (70.73 ns .. 71.64 ns)
1.000 R² (1.000 R² .. 1.000 R²)
mean 70.79 ns (70.44 ns .. 71.30 ns)
std dev 1.397 ns (925.3 ps .. 2.095 ns)
variance introduced by outliers: 27% (moderately inflated)

benchmarking dot product/inline
time 20.91 ns (20.64 ns .. 21.25 ns)
0.999 R² (0.998 R² .. 0.999 R²)
mean 21.12 ns (20.90 ns .. 21.37 ns)
std dev 784.4 ps (575.5 ps .. 1.107 ns)
variance introduced by outliers: 60% (severely inflated)
```