Skip to content

Vacuum - PERF - Serve conjugate toroidal residue classes from one factorization #438

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Draft
jhalpern30 wants to merge 2 commits into
base: feature/vacuum-3d-inductance
Choose a base branch
from
Draft

Vacuum - PERF - Serve conjugate toroidal residue classes from one factorization #438

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
185acd0
VACUUM - IMPROVEMENT - take advantage of the reality of the boundary …
jhalpern30 Sep 1, 2026
8dfb08a
VACUUM - IMPROVEMENT - real arithmetic for self-conjugate mode famili…
jhalpern30 Sep 2, 2026
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
12 changes: 7 additions & 5 deletions src/Vacuum/Symmetry3D.jl
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -243,18 +243,20 @@ function emit_plain_row!(dest::AbstractVector{<:AbstractMatrix}, row::AbstractVe
end

"""
transform_mode_basis!(dest, basis_matrix, sym)
transform_mode_basis!(dest, basis_matrix, sym; conjugate=false)

Express the Fourier mode basis in the symmetry-adapted basis, `Ẽ = E·U`, writing block `b` into
`dest[b]`. Substituting `Ẽ` for `E` carries the change of basis through the right-hand side, the
`wv` projection and `I_v` unchanged, since `U` is unitary.
`wv` projection and `I_v` unchanged, since `U` is unitary. With `conjugate=true` the input basis is
conjugated first, giving `conj(E)·U` — what the conjugate partner of this class needs.
"""
function transform_mode_basis!(dest::AbstractVector{<:AbstractMatrix{ComplexF64}}, basis_matrix::AbstractMatrix, sym::StellaratorBasis)
function transform_mode_basis!(dest::AbstractVector{<:AbstractMatrix{ComplexF64}}, basis_matrix::AbstractMatrix, sym::StellaratorBasis; conjugate::Bool=false)
f = conjugate ? conj : identity
for c in eachindex(sym.block)
out = @view dest[sym.block[c]][:, sym.slot[c]]
p, q = sym.col_p[c], sym.col_q[c]
@views out .= sym.col_cp[c] .* basis_matrix[:, p]
q != p && (@views out .+= sym.col_cq[c] .* basis_matrix[:, q])
@views out .= sym.col_cp[c] .* f.(basis_matrix[:, p])
q != p && (@views out .+= sym.col_cq[c] .* f.(basis_matrix[:, q]))
end
return nothing
end
Loading
Loading