Extensions

CliffordNumbers.jl provides some extensions to allow for interoperability with other packages which we anticipate to be commonly used alongside it.

Note

Extensions require Julia 1.9; support for previous versions will be dropped with the 0.2.0 release of CliffordNumbers.jl.

[Unitful.jl]

[Unitful.jl] provides support for quantities with associated units.

To make a Clifford number into a unitful quantity, simply multiply it by a unit or other unitful quantity:

julia> KVector{1, VGA(3)}(1, 2, 3)u"m"
(1e₁ + 2e₂ + 3e₃) m

julia> KVector{1, VGA(3)}(1, 2, 3) * 1.5u"m"
(1.5e₁ + 3.0e₂ + 4.5e₃) m

Constructing Clifford numbers from `Quantity` coefficients fails

Attempts to construct a Clifford number from Quantity objects will fail, because Quantity does not subtype Real or Complex:

julia> KVector{1,VGA(3)}(1u"m", 2u"m", 3u"m")
ERROR: ArgumentError:
...

For this reason, Clifford numbers with mixed units cannot be constructed, and this is intentional: AbstractCliffordNumber assumes an orthonormal basis.

Supported operations include the geometric product and wedge product.

[Unitful.jl]: https://github.com/PainterQubits/Unitful.jl