index

GaussJacobiQuad

Permissively licensed modern Fortran Gauss–Jacobi quadrature: nodes and weights on [-1, 1] for weight (1-x)^α (1+x)^β (α,β > −1). Multiple algorithms, optional auto selection, Coarray Fortran paths, and C/Python surfaces.

Navigation follows the Diátaxis map (same pattern as rsx docs):

Need	Go to
Install and compute one rule	Tutorials · Quickstart
C / Python / CAF recipes	Howto · Bindings, Howto · CAF, Howto · Accuracy
Why these methods / auto policy	Explanation · Methods
API surfaces and method strings	Reference · Fortran, C, Python, method names
Cite software and literature	Explanation · Citation · refs.bib

Features

Preferred entry: gauss_jacobi_rule (optional method; blank / "auto" → policy; multi-image auto selects *_caf)
Methods: rec, gw, algo665, algo665_dc, sturm, glr, bogaert, and *_caf variants (rec_caf, sturm_caf, glr_caf, bogaert_caf, algo665_dc_caf, …)
CAF: root / eigenvalue / half-node ownership; multi-rule batch API
C: gauss_jacobi_rule_c (single-image); Python: PyPI gauss-jacobi-quad (Stable ABI cp39-abi3 + free-threaded cp313t wheels)
SymPy accuracy harness for regime checks
Bibliography managed via ookcite collection GaussJacobiQuad → docs/refs.bib

Minimal example (Fortran)

use GaussJacobiQuad, only: gauss_jacobi_rule
use gjp_types, only: dp
integer, parameter :: n = 32
real(dp) :: x(n), w(n)
call gauss_jacobi_rule(n, 0.0_dp, 0.0_dp, x, w)          ! auto
call gauss_jacobi_rule(n, 0.5_dp, 0.5_dp, x, w, "glr")  ! forced

Build docs (this tree)

# Narrative HTML (pandoc) + optional Doxygen API
./docs/scripts/build_docs.sh
# Output: docs/site/  (narrative) and html/ when doxygen runs

API HTML (Doxygen) is the site root (haozeke.github.io/GaussJacobiQuad). This narrative sits at /narrative/. Build both with ./docs/scripts/build_docs.sh (apidocs/Doxygen-GaussJacobiQuad.cfg).

Released packages

Rust: crates.io crate gauss-jacobi-quad (C-FFI to libgjp_cinterp)
Python: PyPI package gauss-jacobi-quad — CPython extension over ISO_CBINDING; wheels: one Stable ABI (cp39-abi3) for 3.9+ GIL, plus free-threaded (cp313t)
GitHub: tags vX.Y.Z; Fortran via fpm/meson as usual

See repository readme.org and crates/gauss-jacobi-quad/README.md / python/README.md.