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cheby

This package provides:

  • Basis of Chebyshev polynomials of the first kind
  • Functions represented as Chebyshev series

It is intended to be used for the resolution of differential equations using spectral methods. It is primarily a C++ library with a Python wrapper using nanobind. It also relies on Eigen for linear algebra.

Installation

The simplest way is to use pip:

pip install cheby

The package can be installed directly from source:

git clone https://github.com/GwenaelGabard/cheby
cd cheby
git submodule update --init --recursive
pip install .

This will require a C++ compiler and cmake.

Dependency discovery order (source builds)

When building from source with CMake, dependencies are resolved in this order:

  • nanobind: installed as a Python build dependency (via pip/conda), located through its CMake package path (python -m nanobind --cmake_dir).
  • Eigen3:
    1. find_package(Eigen3 CONFIG)
    2. find_package(Eigen3) (module mode)
    3. Vendored headers (externals/Eigen)

If Eigen3 discovery fails and the submodule is not present, the configure step stops with an explicit error.

Usage

The Python class Basis1D provides the following features:

  • Evaluation of Chebyshev polynomials of the first kind and their derivatives
  • Chebyshev points of the first and second kinds
  • Differentiation matrix
  • Basis recombinations for Dirichlet and Neumann boundary conditions

The Python classes RealFunction and ComplexFunction provide representations of univariate functions as Chebyshev series. They provide the following features:

  • Construction of the Chebyshev representation based on a Python function
  • Evaluation of the function and its derivatives
  • Addition, subtraction and multiplication
  • Primitive and integrals (over the whole domain or over a subsegment)
  • Roots and extrema
  • Integer powers

See the Jupyter notebooks in the examples folder for examples of usage.

Unit tests

Unit tests are written using pytest. They can be run using

pytest tests

License

  • Code (including the example notebooks in examples/) is released under the MIT License.
  • Theory and documentations are released under CC BY 4.0 — you may reuse and adapt them with attribution.

Release files for cheby 1.0.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for cheby 1.0.0
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cheby-1.0.0.tar.gz 1.7 MB Details

Built distributions (wheels)

Table of built distributions (wheels) for cheby 1.0.0
File
cheby-1.0.0-cp313-cp313-win_amd64.whl CPython 3.13 CPython 3.13 Windows x86-64 Details
cheby-1.0.0-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
cheby-1.0.0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details
cheby-1.0.0-cp313-cp313-macosx_11_0_arm64.whl CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details
cheby-1.0.0-cp313-cp313-macosx_10_13_universal2.whl CPython 3.13 CPython 3.13 macOS 10.13+ universal2 (ARM64, x86-64) Details
cheby-1.0.0-cp312-cp312-win_amd64.whl CPython 3.12 CPython 3.12 Windows x86-64 Details
cheby-1.0.0-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
cheby-1.0.0-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details
cheby-1.0.0-cp312-cp312-macosx_11_0_arm64.whl CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
cheby-1.0.0-cp312-cp312-macosx_10_13_universal2.whl CPython 3.12 CPython 3.12 macOS 10.13+ universal2 (ARM64, x86-64) Details
cheby-1.0.0-cp311-cp311-win_amd64.whl CPython 3.11 CPython 3.11 Windows x86-64 Details
cheby-1.0.0-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details
cheby-1.0.0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details
cheby-1.0.0-cp311-cp311-macosx_11_0_arm64.whl CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details
cheby-1.0.0-cp311-cp311-macosx_10_13_universal2.whl CPython 3.11 CPython 3.11 macOS 10.13+ universal2 (ARM64, x86-64) Details
cheby-1.0.0-cp310-cp310-win_amd64.whl CPython 3.10 CPython 3.10 Windows x86-64 Details
cheby-1.0.0-cp310-cp310-musllinux_1_2_x86_64.whl CPython 3.10 CPython 3.10 Linux musl 1.2+ x86-64 Details
cheby-1.0.0-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.10 CPython 3.10 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details
cheby-1.0.0-cp310-cp310-macosx_11_0_arm64.whl CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details
cheby-1.0.0-cp310-cp310-macosx_10_13_universal2.whl CPython 3.10 CPython 3.10 macOS 10.13+ universal2 (ARM64, x86-64) Details
cheby-1.0.0-cp39-cp39-win_amd64.whl CPython 3.9 CPython 3.9 Windows x86-64 Details
cheby-1.0.0-cp39-cp39-musllinux_1_2_x86_64.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ x86-64 Details
cheby-1.0.0-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.9 CPython 3.9 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details
cheby-1.0.0-cp39-cp39-macosx_11_0_arm64.whl CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details
cheby-1.0.0-cp39-cp39-macosx_10_13_universal2.whl CPython 3.9 CPython 3.9 macOS 10.13+ universal2 (ARM64, x86-64) Details

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This release

1.0.0 This release

26 release files

0.3.8

24 release files

0.3.7

24 release files

0.3.3

24 release files

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