updates:
- [github.com/pre-commit/mirrors-clang-format: v18.1.8 → v19.1.1](https://github.com/pre-commit/mirrors-clang-format/compare/v18.1.8...v19.1.1)
- [github.com/pre-commit/pre-commit-hooks: v4.6.0 → v5.0.0](https://github.com/pre-commit/pre-commit-hooks/compare/v4.6.0...v5.0.0)
- [github.com/astral-sh/ruff-pre-commit: v0.6.2 → v0.6.9](https://github.com/astral-sh/ruff-pre-commit/compare/v0.6.2...v0.6.9)

Merge pull request #2447 from stack-of-tasks/dependabot/github_actions/devel/cachix/install-nix-action-30

build(deps): bump cachix/install-nix-action from 29 to 30

Bumps [cachix/install-nix-action](https://github.com/cachix/install-nix-action) from 29 to 30.
- [Release notes](https://github.com/cachix/install-nix-action/releases)
- [Commits](https://github.com/cachix/install-nix-action/compare/v29...v30

)

---
updated-dependencies:
- dependency-name: cachix/install-nix-action
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>

Fix some examples

Different inertia parametrizations and Physical consistency

Co-authored-by: Joris Vaillant <joris.vaillant@gmail.com>

*  structures for inertia and logcholesky

* added conversion from logcholesky to inertia,

* fixed logcholesky and pseudo templates, add disp

* unit tests in cpp