Bspline polynomials

[thesombady]

Describe the feature

Bsplines can be used to solve a myriad of problems, a tool to create a "complete basis" given a subset of a domain.
Think of finite difference methods, but for one dimension.
Since vsl already has the submodule poly, I think it would be a great asset.

Use Case

Bsplines can be used to solve a set of problems, such as collocation problems, e.g. Poissons equations, or generalised Eigen value equations, e.g. Generalised Schrödinger equation.
I recently had this problem at Uni and was forced to rely on other languages to build the solution methods.

Proposed Solution

There exists loads of Bspline packages, e.g. for fortran, c and python, but a native V solution would most likely be on par for most plausible scenarios. I propose, that after the Uni semester is done, I provide this feature to vsl.poly, if no other would object.

Other Information

No response

Acknowledgements

• I may be able to implement this feature request
• This feature might incur a breaking change

Version used

Latest

Environment details (OS name and version, etc.)

V full version: V 0.4.6 39e550f.6a550ab
OS: macos, macOS, 14.0, 23A344
Processor: 8 cpus, 64bit, little endian, Apple M2

getwd: /Users/andreas
vexe: /Users/andreas/v/v
vexe mtime: 2024-05-21 14:21:50

vroot: OK, value: /Users/andreas/v
VMODULES: OK, value: /Users/andreas/.vmodules
VTMP: OK, value: /tmp/v_501

Git version: git version 2.44.0
Git vroot status: weekly.2024.20-37-g6a550ab8 (2 commit(s) behind V master)
.git/config present: true

CC version: Apple clang version 15.0.0 (clang-1500.0.40.1)
thirdparty/tcc status: thirdparty-macos-arm64 5c1d002f