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https://github.com/JuliaArrays/BlockArrays.jl
BlockArrays for Julia
https://github.com/JuliaArrays/BlockArrays.jl
arrays blockarrays julia matrix
Last synced: 3 months ago
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BlockArrays for Julia
- Host: GitHub
- URL: https://github.com/JuliaArrays/BlockArrays.jl
- Owner: JuliaArrays
- License: other
- Created: 2016-05-09T15:23:31.000Z (almost 9 years ago)
- Default Branch: master
- Last Pushed: 2024-10-29T08:45:30.000Z (4 months ago)
- Last Synced: 2024-10-29T09:56:54.648Z (4 months ago)
- Topics: arrays, blockarrays, julia, matrix
- Language: Julia
- Homepage: http://juliaarrays.github.io/BlockArrays.jl/
- Size: 2.36 MB
- Stars: 195
- Watchers: 12
- Forks: 28
- Open Issues: 66
-
Metadata Files:
- Readme: README.md
- License: LICENSE.md
Awesome Lists containing this project
- awesome-sciml - JuliaArrays/BlockArrays.jl: BlockArrays for Julia
README
# BlockArrays.jl
[](https://github.com/JuliaArrays/BlockArrays.jl/actions)
[](https://codecov.io/gh/JuliaArrays/BlockArrays.jl) [](https://JuliaArrays.github.io/BlockArrays.jl/stable)
[](https://JuliaArrays.github.io/BlockArrays.jl/dev)
[](https://github.com/JuliaTesting/Aqua.jl)
[](https://juliahub.com/ui/Packages/General/BlockArrays?t=2)
[](https://juliahub.com/ui/Packages/General/BlockArrays)
[](https://juliaci.github.io/NanosoldierReports/pkgeval_badges/report.html)
A block array is a partition of an array into blocks or subarrays, see [wikipedia](https://en.wikipedia.org/wiki/Block_matrix) for a more extensive description. This package has two purposes. Firstly, it defines an interface for an `AbstractBlockArray` block arrays that can be shared among types representing different types of block arrays. The advantage to this is that it provides a consistent API for block arrays.
Secondly, it also implements two different type of block arrays that follow the `AbstractBlockArray` interface. The type `BlockArray` stores each block contiguously while the type `BlockedArray` stores the full matrix contiguously. This means that `BlockArray` supports fast non copying extraction and insertion of blocks while `BlockedArray` supports fast access to the full matrix to use in in for example a linear solver.
A simple way to produce `BlockArray`s is via `mortar`, which combines an array of arrays into a `BlockArray`:
```julia
julia> using BlockArrays
julia> mortar([randn(3), randn(4)])
2-blocked 7-element BlockVector{Float64}:
-0.19808699390960527
0.04711385377738941
-0.6308529482215658
─────────────────────
-0.021279626465135287
-1.0991149020591062
1.0817971931026398
-0.012442892450142308
julia> mortar(reshape([randn(2,2), randn(1,2), randn(2,3), randn(1,3)],2,2))
2×2-blocked 3×5 BlockMatrix{Float64}:
-1.17797 0.359738 │ 0.87676 -2.06495 1.74256
1.54787 1.64133 │ -0.0416484 -2.00241 -0.522441
───────────────────────┼──────────────────────────────────
0.430093 -0.0263753 │ -1.31275 0.278447 -0.139579
```
Alternatively, one can add block structure on top of an existing array by wrapping the array in `BlockedArray`, where the extra arguments give the sizes of the blocks:
```julia
julia> BlockedArray(randn(7), [3,4])
2-blocked 7-element BlockedVector{Float64}:
-0.17348560551451797
-0.5680124317024628
1.699007590285868
─────────────────────
-0.7437814954416642
-0.018198226033108045
1.3335354818213445
-0.03512135185007728
julia> BlockedArray(randn(3,5), [2,1], [2,3])
2×2-blocked 3×5 BlockedMatrix{Float64}:
0.444186 0.788823 │ 0.743428 -0.815026 0.715779
-0.721074 -0.43783 │ 1.07413 -0.336926 0.539873
──────────────────────┼─────────────────────────────────
0.128836 -0.350202 │ -2.71365 1.67605 -0.25611
```
## Documentation
- [**STABLE**][docs-stable-url] — **most recently tagged version of the documentation.**
- [**LATEST**][docs-dev-url] — *in-development version of the documentation.*
## Changes in v1.0
We are excited to release v1.0! There are some important breaking changes from previous versions of BlockArrays.jl:
- `BlockedArray` replaces `PseudoBlockArray`.
- Axes are now typically `BlockedOneTo` instead of `BlockUnitRange`.
- Support for some simple block-banded matrices has been moved here from BlockBandedMatrices.jl.
- The definition of `blocksizes(array::AbstractArray)` is changed from `blocklengths.(axes(array))` to an iterator of size `blocksize(array)` over the sizes of each block of `array`.
- `BlockedUnitRange` is now parametrized by the element type instead of hardcoded to `Int`.
## Contributing
Possible ways of contributing to this package include:
* Implement the fusing broadcasting interface for blocked arrays.
* Make different Linear Algebra function (like matrix / vector multiplications) with blocked arrays work.
* Implement different reductions functionalities, (`sum` and co.).
* Audit the performance and make improvements as needed.
[docs-dev-url]: https://JuliaArrays.github.io/BlockArrays.jl/dev/
[docs-stable-url]: https://JuliaArrays.github.io/BlockArrays.jl/stable