Tasmanian.jl

Wrapping the awesome tasmanian library.

Most of the functions for Sparsegrids are implemented, except the ones for manually constructed grids. In particular, Tasmanian.jl supports

• global grids
• sequence grids
• local polynomial grids
• wavelet grids
• Fourier grids
• refinements
• differentiation
• integration
• acceleration via BLAS/LAPACK (via libblastrampoline) and OMP

Documentation

https://dynarejulia.github.io/Tasmanian.jl

Examples

Example 1: The Darth Vader Function

Approximating the function at increasing levels of grid refinement at 1000 randomly chosen points.

julia> using Tasmanian
julia> Tasmanian.ex2()
INFO: error on initial grid:    0.06798, with 13 points
INFO: refinement level 1 error: 0.02096, with 16 points
INFO: refinement level 2 error: 0.00896, with 36 points
INFO: refinement level 3 error: 0.00314, with 80 points
INFO: refinement level 4 error: 0.00097, with 176 points
INFO: refinement level 5 error: 0.00031, with 384 points
INFO: refinement level 6 error: 9.0e-5, with 824 points
INFO: refinement level 7 error: 2.0e-5, with 1688 points
INFO: Saved animation to /Users/74097/.julia/v0.6/Tasmanian/examples/ex2.gif
Plots.AnimatedGif("/Users/74097/.julia/v0.6/Tasmanian/examples/ex2.gif")

Example 2: Genz test function

This approximates f(x,y) = 1.0 / (abs(0.5 - x^4 - y^4) + 0.1).

Requirements

• Julia 64bit >= v1.9
• Recommended version: Julia 64 bit v1.10

Installation

To install julia package

Pkg.add("Tasmanian")

Build

libtasmanian.jl, Julia bindings for the C interface of the Tasmanian is auto-generated by CLANG.jl

The bindings can be regenerated with

cd Tasmanian.jl/gen
julia --project wraper.jl

Tasmanian_jll

The artifact Tasmanian_jll provides the Tasmanian library for all Julia plateforms.

The recipe to build the artifact is available in Yggdrasil.jl/T/Tasmanian

Todo

• implement missing Sparsegrids functions
• implement optimization
• implement Dream
• add plot recipes