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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 (install with pip install flt[numpy])
  • JAX (install with pip install flt[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:

>>> 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)

Metadata

Release files for flt 2026.1

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Source distribution (sdist)

Source distribution for flt 2026.1
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Built distributions (wheels)

Table of built distributions (wheels) for flt 2026.1
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flt-2026.1-cp314-cp314t-win_amd64.whl CPython 3.14 CPython 3.14 free-threading Windows x86-64 Details for flt-2026.1-cp314-cp314t-win_amd64.whl
flt-2026.1-cp314-cp314t-win32.whl CPython 3.14 CPython 3.14 free-threading Windows x86-32 Details for flt-2026.1-cp314-cp314t-win32.whl
flt-2026.1-cp314-cp314t-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 Details for flt-2026.1-cp314-cp314t-musllinux_1_2_x86_64.whl
flt-2026.1-cp314-cp314t-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details for flt-2026.1-cp314-cp314t-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp314-cp314t-macosx_11_0_arm64.whl CPython 3.14 CPython 3.14 free-threading macOS 11.0+ ARM64 Details for flt-2026.1-cp314-cp314t-macosx_11_0_arm64.whl
flt-2026.1-cp314-cp314t-macosx_10_15_x86_64.whl CPython 3.14 CPython 3.14 free-threading macOS 10.15+ x86-64 Details for flt-2026.1-cp314-cp314t-macosx_10_15_x86_64.whl
flt-2026.1-cp314-cp314-win_amd64.whl CPython 3.14 CPython 3.14 Windows x86-64 Details for flt-2026.1-cp314-cp314-win_amd64.whl
flt-2026.1-cp314-cp314-win32.whl CPython 3.14 CPython 3.14 Windows x86-32 Details for flt-2026.1-cp314-cp314-win32.whl
flt-2026.1-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp314-cp314-musllinux_1_2_x86_64.whl
flt-2026.1-cp314-cp314-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ x86-64, Linux glibc 2.17+ x86-64 Details for flt-2026.1-cp314-cp314-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp314-cp314-macosx_11_0_arm64.whl CPython 3.14 CPython 3.14 macOS 11.0+ ARM64 Details for flt-2026.1-cp314-cp314-macosx_11_0_arm64.whl
flt-2026.1-cp314-cp314-macosx_10_15_x86_64.whl CPython 3.14 CPython 3.14 macOS 10.15+ x86-64 Details for flt-2026.1-cp314-cp314-macosx_10_15_x86_64.whl
flt-2026.1-cp313-cp313-win_amd64.whl CPython 3.13 CPython 3.13 Windows x86-64 Details for flt-2026.1-cp313-cp313-win_amd64.whl
flt-2026.1-cp313-cp313-win32.whl CPython 3.13 CPython 3.13 Windows x86-32 Details for flt-2026.1-cp313-cp313-win32.whl
flt-2026.1-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp313-cp313-musllinux_1_2_x86_64.whl
flt-2026.1-cp313-cp313-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details for flt-2026.1-cp313-cp313-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp313-cp313-macosx_11_0_arm64.whl CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details for flt-2026.1-cp313-cp313-macosx_11_0_arm64.whl
flt-2026.1-cp313-cp313-macosx_10_13_x86_64.whl CPython 3.13 CPython 3.13 macOS 10.13+ x86-64 Details for flt-2026.1-cp313-cp313-macosx_10_13_x86_64.whl
flt-2026.1-cp312-cp312-win_amd64.whl CPython 3.12 CPython 3.12 Windows x86-64 Details for flt-2026.1-cp312-cp312-win_amd64.whl
flt-2026.1-cp312-cp312-win32.whl CPython 3.12 CPython 3.12 Windows x86-32 Details for flt-2026.1-cp312-cp312-win32.whl
flt-2026.1-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp312-cp312-musllinux_1_2_x86_64.whl
flt-2026.1-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details for flt-2026.1-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp312-cp312-macosx_11_0_arm64.whl CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details for flt-2026.1-cp312-cp312-macosx_11_0_arm64.whl
flt-2026.1-cp312-cp312-macosx_10_13_x86_64.whl CPython 3.12 CPython 3.12 macOS 10.13+ x86-64 Details for flt-2026.1-cp312-cp312-macosx_10_13_x86_64.whl
flt-2026.1-cp311-cp311-win_amd64.whl CPython 3.11 CPython 3.11 Windows x86-64 Details for flt-2026.1-cp311-cp311-win_amd64.whl
flt-2026.1-cp311-cp311-win32.whl CPython 3.11 CPython 3.11 Windows x86-32 Details for flt-2026.1-cp311-cp311-win32.whl
flt-2026.1-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp311-cp311-musllinux_1_2_x86_64.whl
flt-2026.1-cp311-cp311-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ x86-64, Linux glibc 2.17+ x86-64 Details for flt-2026.1-cp311-cp311-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp311-cp311-macosx_11_0_arm64.whl CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details for flt-2026.1-cp311-cp311-macosx_11_0_arm64.whl
flt-2026.1-cp311-cp311-macosx_10_9_x86_64.whl CPython 3.11 CPython 3.11 macOS 10.9+ x86-64 Details for flt-2026.1-cp311-cp311-macosx_10_9_x86_64.whl
flt-2026.1-cp310-cp310-win_amd64.whl CPython 3.10 CPython 3.10 Windows x86-64 Details for flt-2026.1-cp310-cp310-win_amd64.whl
flt-2026.1-cp310-cp310-win32.whl CPython 3.10 CPython 3.10 Windows x86-32 Details for flt-2026.1-cp310-cp310-win32.whl
flt-2026.1-cp310-cp310-musllinux_1_2_x86_64.whl CPython 3.10 CPython 3.10 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp310-cp310-musllinux_1_2_x86_64.whl
flt-2026.1-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details for flt-2026.1-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp310-cp310-macosx_11_0_arm64.whl CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details for flt-2026.1-cp310-cp310-macosx_11_0_arm64.whl
flt-2026.1-cp310-cp310-macosx_10_9_x86_64.whl CPython 3.10 CPython 3.10 macOS 10.9+ x86-64 Details for flt-2026.1-cp310-cp310-macosx_10_9_x86_64.whl
flt-2026.1-cp39-cp39-win_amd64.whl CPython 3.9 CPython 3.9 Windows x86-64 Details for flt-2026.1-cp39-cp39-win_amd64.whl
flt-2026.1-cp39-cp39-win32.whl CPython 3.9 CPython 3.9 Windows x86-32 Details for flt-2026.1-cp39-cp39-win32.whl
flt-2026.1-cp39-cp39-musllinux_1_2_x86_64.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ x86-64 Details for flt-2026.1-cp39-cp39-musllinux_1_2_x86_64.whl
flt-2026.1-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.9 CPython 3.9 Linux glibc 2.28+ x86-64, Linux glibc 2.17+ x86-64 Details for flt-2026.1-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl
flt-2026.1-cp39-cp39-macosx_11_0_arm64.whl CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details for flt-2026.1-cp39-cp39-macosx_11_0_arm64.whl
flt-2026.1-cp39-cp39-macosx_10_9_x86_64.whl CPython 3.9 CPython 3.9 macOS 10.9+ x86-64 Details for flt-2026.1-cp39-cp39-macosx_10_9_x86_64.whl

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Release files / flt-2026.1-cp310-cp310-macosx_11_0_arm64.whl

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Release files / flt-2026.1-cp310-cp310-macosx_10_9_x86_64.whl

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Release files / flt-2026.1-cp39-cp39-win_amd64.whl

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Release files / flt-2026.1-cp39-cp39-win32.whl

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Release files / flt-2026.1-cp39-cp39-musllinux_1_2_x86_64.whl

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Release files / flt-2026.1-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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Release files / flt-2026.1-cp39-cp39-macosx_11_0_arm64.whl

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Release files / flt-2026.1-cp39-cp39-macosx_10_9_x86_64.whl

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