flt

Fast Legendre transform for NumPy and JAX

https://github.com/ntessore/flt

Science Score: 54.0%

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Last synced: 10 months ago · JSON representation ·

Repository

Fast Legendre transform for NumPy and JAX

Basic Info
  • Host: GitHub
  • Owner: ntessore
  • License: mit
  • Language: Python
  • Default Branch: main
  • Homepage: https://flt.readthedocs.io
  • Size: 72.3 KB
Statistics
  • Stars: 6
  • Watchers: 3
  • Forks: 0
  • Open Issues: 1
  • Releases: 7
Created over 5 years ago · Last pushed 12 months ago
Metadata Files
Readme License Citation

README.md

flt

Fast Legendre transform for NumPy and JAX

This is a minimal Python package for fast discrete Legendre transforms (DLTs). The implementation uses a recursive version of the matrix relations by Alpert & Rokhlin (1991) to compute the DLT via a discrete cosine transform (DCT).

The package can be installed using pip:

pip install flt

For more information, please see the documentation.

Current functionality covers the absolutely minimal use case. Please open an issue on GitHub if you would like to see anything added.

Array backends

The flt package supports generic array backends via single dispatch. Currently available implementations are:

  • NumPy (+SciPy)
  • JAX

Other implementations are easily added, even from third-party code, and will be picked up by the flt methods automatically.

Example

The main functionality of the flt module in contained in the pair flt.dlt and flt.idlt of discrete Legendre transforms:

```py

import jax import flt key = jax.random.key(42) x = jax.random.uniform(key, shape=(100,)) a = flt.dlt(x) y = flt.idlt(a) jax.numpy.allclose(x, y) Array(True, dtype=bool) ```

Owner

  • Name: Nicolas Tessore
  • Login: ntessore
  • Kind: user
  • Location: UK
  • Company: University College London

cosmology and statistics on the sphere

Citation (CITATION.md)

The Fast Legendre Transformation employed in this package carries out a FLT by
means of a DCT. This was first described by Alpert & Rokhlin (1991):

> Alpert, B. K., & Rokhlin, V., 1991, SIAM Journal on Scientific and
> Statistical Computing, 12, 158. doi:10.1137/0912009

The specific implementation transforms between DCT and FLT using a recurrence,
without explicitly constructing the matrix of Alpert & Rokhlin (1991). For
more information, see:

> Tessore N., Loureiro A., Joachimi B., von Wietersheim-Kramsta M., Jeffrey N.,
> 2023, OJAp, 6, 11. doi:10.21105/astro.2302.01942

GitHub Events

Total
  • Create event: 12
  • Release event: 2
  • Issues event: 4
  • Watch event: 1
  • Delete event: 11
  • Issue comment event: 3
  • Push event: 21
  • Pull request review event: 5
  • Pull request event: 22
Last Year
  • Create event: 12
  • Release event: 2
  • Issues event: 4
  • Watch event: 1
  • Delete event: 11
  • Issue comment event: 3
  • Push event: 21
  • Pull request review event: 5
  • Pull request event: 22

Committers

Last synced: over 3 years ago

All Time
  • Total Commits: 7
  • Total Committers: 1
  • Avg Commits per committer: 7.0
  • Development Distribution Score (DDS): 0.0
Top Committers
Name Email Commits
Nicolas Tessore n****e@u****k 7
Committer Domains (Top 20 + Academic)

Issues and Pull Requests

Last synced: 10 months ago

All Time
  • Total issues: 2
  • Total pull requests: 36
  • Average time to close issues: 21 days
  • Average time to close pull requests: 11 days
  • Total issue authors: 1
  • Total pull request authors: 2
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.19
  • Merged pull requests: 25
  • Bot issues: 0
  • Bot pull requests: 32
Past Year
  • Issues: 2
  • Pull requests: 12
  • Average time to close issues: 21 days
  • Average time to close pull requests: 11 days
  • Issue authors: 1
  • Pull request authors: 2
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.25
  • Merged pull requests: 7
  • Bot issues: 0
  • Bot pull requests: 8
Top Authors
Issue Authors
  • ntessore (2)
Pull Request Authors
  • dependabot[bot] (41)
  • ntessore (4)
Top Labels
Issue Labels
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dependencies (41) github_actions (7)

Packages

  • Total packages: 1
  • Total downloads:
    • pypi 24,385 last-month
  • Total dependent packages: 1
  • Total dependent repositories: 1
  • Total versions: 8
  • Total maintainers: 1
pypi.org: flt

Fast Legendre transform for NumPy and JAX

  • Versions: 8
  • Dependent Packages: 1
  • Dependent Repositories: 1
  • Downloads: 24,385 Last month
Rankings
Dependent packages count: 4.8%
Downloads: 12.5%
Average: 19.3%
Dependent repos count: 21.5%
Stargazers count: 27.8%
Forks count: 29.8%
Maintainers (1)
Last synced: 10 months ago