The source code of the TabulatedQuadratureRules Julia library is available at github.com/quadraturerules/TabulatedQuadratureRules.jl. It can be installed using Pkg.add("TabulatedQuadratureRules").
The library's function single_integral_quadrature can be used to get the points and weights of quadrature rules for a single integral. For example the following snippet will create an order 3 Xiao–Gimbutas rule on a triangle:
using TabulatedQuadratureRules
points, weights = TabulatedQuadratureRules.single_integral_quadrature(
TabulatedQuadratureRules.QR_XiaoGimbutas,
TabulatedQuadratureRules.Domain_Triangle,
3,
)
Note that the points returned by the library are represented using barycentric coordinates.
The Julia quadraturerules library can be generated from the templates in the online encyclopedia of quadrature rules GitHub repo. First clone the repo and move into the library directory:
git clone https://github.com/quadraturerules/quadraturerules.git
cd quadraturerules/library
The Julia library can then be generated by running:
python build.py julia
This will create a directory called julia.build containing the Rust source code.